(%i1) batch(diffeq.max)
read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max
(%i2) load(stringproc)
(%o2) /usr/local/share/maxima/5.26.0/share/contrib/stringproc/stringproc.mac
(%i3) display_alot(iter) := if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : abs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
abserr 100.0
20, " "), if abs(analytic_val_y) # 0.0 then relerr : -------------------
abs(analytic_val_y)
else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_float(ALWAYS, "h ", 4, glob_h,
20, " "))
(%o3) display_alot(iter) := if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : abs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
abserr 100.0
20, " "), if abs(analytic_val_y) # 0.0 then relerr : -------------------
abs(analytic_val_y)
else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_float(ALWAYS, "h ", 4, glob_h,
20, " "))
(%i4) adjust_for_pole(h_param) := block(hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float)
! 1! 1
array_pole
1
then (sz2 : -----------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(),
return(hnew))), if not glob_reached_optimal_h
then (glob_reached_optimal_h : true, glob_curr_iter_when_opt :
glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(),
glob_optimal_start : array_x ), hnew : sz2)
1
(%o4) adjust_for_pole(h_param) := block(hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float)
! 1! 1
array_pole
1
then (sz2 : -----------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(),
return(hnew))), if not glob_reached_optimal_h
then (glob_reached_optimal_h : true, glob_curr_iter_when_opt :
glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(),
glob_optimal_start : array_x ), hnew : sz2)
1
(%i5) prog_report(x_start, x_end) := (clock_sec1 : elapsed_time_seconds(),
total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec),
glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec),
left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec)
+ convfloat(glob_max_sec), expect_sec :
comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x ),
1
convfloat(clock_sec1) - convfloat(glob_orig_start_sec)),
opt_clock_sec : convfloat(clock_sec1)
- convfloat(glob_optimal_clock_start_sec),
glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(glob_h) + convfloat(array_x ),
1
convfloat(opt_clock_sec)), percent_done :
comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done,
1
omniout_str_noeol(INFO, "Total Elapsed Time "),
omniout_timestr(convfloat(total_clock_sec)),
omniout_str_noeol(INFO, "Elapsed Time(since restart) "),
omniout_timestr(convfloat(glob_clock_sec)),
if convfloat(percent_done) < convfloat(100.0)
then (omniout_str_noeol(INFO, "Expected Time Remaining "),
omniout_timestr(convfloat(expect_sec)),
omniout_str_noeol(INFO, "Optimized Time Remaining "),
omniout_timestr(convfloat(glob_optimal_expect_sec))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%o5) prog_report(x_start, x_end) := (clock_sec1 : elapsed_time_seconds(),
total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec),
glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec),
left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec)
+ convfloat(glob_max_sec), expect_sec :
comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x ),
1
convfloat(clock_sec1) - convfloat(glob_orig_start_sec)),
opt_clock_sec : convfloat(clock_sec1)
- convfloat(glob_optimal_clock_start_sec),
glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(glob_h) + convfloat(array_x ),
1
convfloat(opt_clock_sec)), percent_done :
comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done,
1
omniout_str_noeol(INFO, "Total Elapsed Time "),
omniout_timestr(convfloat(total_clock_sec)),
omniout_str_noeol(INFO, "Elapsed Time(since restart) "),
omniout_timestr(convfloat(glob_clock_sec)),
if convfloat(percent_done) < convfloat(100.0)
then (omniout_str_noeol(INFO, "Expected Time Remaining "),
omniout_timestr(convfloat(expect_sec)),
omniout_str_noeol(INFO, "Optimized Time Remaining "),
omniout_timestr(convfloat(glob_optimal_expect_sec))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%i6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n,
while (m >= 10) and ((!array_y_higher ! < glob_small_float)
! 1, m!
or (!array_y_higher ! < glob_small_float)
! 1, m - 1!
or (!array_y_higher ! < glob_small_float)) do m : m - 1,
! 1, m - 2!
array_y_higher array_y_higher
1, m 1, m - 1
if m > 10 then (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1,
glob_h
if abs(hdrc) > glob_small_float then (rcs : ------,
hdrc
convfloat(m - 1) rm0
ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs,
hdrc 1, 1
array_real_pole : ord_no) else (array_real_pole : glob_large_float,
1, 2 1, 1
array_real_pole : glob_large_float))
1, 2
else (array_real_pole : glob_large_float,
1, 1
array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms,
1, 2
cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! >
! 1, n!
glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n,
if m <= 10 then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
elseif (!array_y_higher ! >= glob_large_float)
! 1, m!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 1!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 2!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 3!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 4!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 5!
then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
array_y_higher array_y_higher
1, m 1, m - 1
else (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
array_y_higher array_y_higher
1, m - 2 1, m - 3
rm2 : ----------------------, rm3 : ----------------------,
array_y_higher array_y_higher
1, m - 3 1, m - 4
array_y_higher
1, m - 4
rm4 : ----------------------, nr1 : convfloat(m - 3) rm2
array_y_higher
1, m - 5
- 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0,
nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float)
rm4 rm3 rm2
or (abs(dr1) <= glob_small_float) then (array_complex_pole :
1, 1
glob_large_float, array_complex_pole : glob_large_float)
1, 2
else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h
else rad_c : glob_large_float) else (rad_c : glob_large_float,
ord_no : glob_large_float)) else (rad_c : glob_large_float,
ord_no : glob_large_float)), array_complex_pole : rad_c,
1, 1
array_complex_pole : ord_no), found : false,
1, 2
if (not found) and ((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float))
1, 1 1, 2
and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0))
1, 1 1, 2
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , found : true, array_type_pole : 2,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if (not found)
and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float)
1, 1 1, 2
and (array_real_pole > 0.0) and (array_real_pole > 0.0)
1, 1 1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0)))
1, 1 1, 2 1, 1 1, 2
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and (((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float)))
1, 1 1, 2
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
found : true, array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")),
if (not found) and ((array_real_pole < array_complex_pole )
1, 1 1, 1
and (array_real_pole > 0.0) and (array_real_pole >
1, 1 1, 2
0.0))
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and ((array_complex_pole # glob_large_float)
1, 1
and (array_complex_pole # glob_large_float)
1, 2
and (array_complex_pole > 0.0) and (array_complex_pole >
1, 1 1, 2
0.0))
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , array_type_pole : 2, found : true,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if not found
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float,
1
array_pole : glob_large_float, if array_pole > array_poles
2 1 1, 1
then (array_pole : array_poles , array_pole : array_poles ),
1 1, 1 2 1, 2
display_pole())
(%o6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n,
while (m >= 10) and ((!array_y_higher ! < glob_small_float)
! 1, m!
or (!array_y_higher ! < glob_small_float)
! 1, m - 1!
or (!array_y_higher ! < glob_small_float)) do m : m - 1,
! 1, m - 2!
array_y_higher array_y_higher
1, m 1, m - 1
if m > 10 then (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1,
glob_h
if abs(hdrc) > glob_small_float then (rcs : ------,
hdrc
convfloat(m - 1) rm0
ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs,
hdrc 1, 1
array_real_pole : ord_no) else (array_real_pole : glob_large_float,
1, 2 1, 1
array_real_pole : glob_large_float))
1, 2
else (array_real_pole : glob_large_float,
1, 1
array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms,
1, 2
cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! >
! 1, n!
glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n,
if m <= 10 then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
elseif (!array_y_higher ! >= glob_large_float)
! 1, m!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 1!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 2!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 3!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 4!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 5!
then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
array_y_higher array_y_higher
1, m 1, m - 1
else (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
array_y_higher array_y_higher
1, m - 2 1, m - 3
rm2 : ----------------------, rm3 : ----------------------,
array_y_higher array_y_higher
1, m - 3 1, m - 4
array_y_higher
1, m - 4
rm4 : ----------------------, nr1 : convfloat(m - 3) rm2
array_y_higher
1, m - 5
- 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0,
nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float)
rm4 rm3 rm2
or (abs(dr1) <= glob_small_float) then (array_complex_pole :
1, 1
glob_large_float, array_complex_pole : glob_large_float)
1, 2
else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h
else rad_c : glob_large_float) else (rad_c : glob_large_float,
ord_no : glob_large_float)) else (rad_c : glob_large_float,
ord_no : glob_large_float)), array_complex_pole : rad_c,
1, 1
array_complex_pole : ord_no), found : false,
1, 2
if (not found) and ((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float))
1, 1 1, 2
and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0))
1, 1 1, 2
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , found : true, array_type_pole : 2,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if (not found)
and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float)
1, 1 1, 2
and (array_real_pole > 0.0) and (array_real_pole > 0.0)
1, 1 1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0)))
1, 1 1, 2 1, 1 1, 2
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and (((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float)))
1, 1 1, 2
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
found : true, array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")),
if (not found) and ((array_real_pole < array_complex_pole )
1, 1 1, 1
and (array_real_pole > 0.0) and (array_real_pole >
1, 1 1, 2
0.0))
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and ((array_complex_pole # glob_large_float)
1, 1
and (array_complex_pole # glob_large_float)
1, 2
and (array_complex_pole > 0.0) and (array_complex_pole >
1, 1 1, 2
0.0))
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , array_type_pole : 2, found : true,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if not found
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float,
1
array_pole : glob_large_float, if array_pole > array_poles
2 1 1, 1
then (array_pole : array_poles , array_pole : array_poles ),
1 1, 1 2 1, 2
display_pole())
(%i7) get_norms() := if not glob_initial_pass
then (set_z(array_norms, 1 + glob_max_terms), iii : 1,
while iii <= glob_max_terms do (if !array_y ! > array_norms
! iii! iii
then array_norms : !array_y !, iii : 1 + iii))
iii ! iii!
(%o7) get_norms() := if not glob_initial_pass
then (set_z(array_norms, 1 + glob_max_terms), iii : 1,
while iii <= glob_max_terms do (if !array_y ! > array_norms
! iii! iii
then array_norms : !array_y !, iii : 1 + iii))
iii ! iii!
(%i8) atomall() := (array_tmp1 : arctan(array_x ),
1 1
array_tmp1_a1 : sin(array_tmp1 ), array_tmp1_a2 : cos(array_tmp1 ),
1 1 1 1
array_tmp2 : array_tmp1 + array_const_0D0 ,
1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
1
then (temporary : array_tmp2 glob_h factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 2,
glob_h 2, 1
array_tmp1 : (- att(1, array_tmp1_a2, array_tmp1, 2)
2
- array_x att(1, array_tmp1_a1, array_tmp1, 2)
1
+ ats(2, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1
1 1
+ array_tmp1_a2 ), array_tmp1_a1 : att(1, array_tmp1_a2, array_tmp1, 1),
1 2
array_tmp1_a2 : - att(1, array_tmp1_a1, array_tmp1, 1),
2
array_tmp2 : array_tmp1 + array_const_0D0 ,
2 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
1
then (temporary : array_tmp2 glob_h factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 3,
glob_h 2, 2
array_tmp1 : (- att(2, array_tmp1_a2, array_tmp1, 2)
3
- array_x att(2, array_tmp1_a1, array_tmp1, 2)
1
+ ats(3, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1
1 1
+ array_tmp1_a2 ), array_tmp1_a1 : att(2, array_tmp1_a2, array_tmp1, 1),
1 3
array_tmp1_a2 : - att(2, array_tmp1_a1, array_tmp1, 1),
3
array_tmp2 : array_tmp1 + array_const_0D0 ,
3 3 3
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
1
then (temporary : array_tmp2 glob_h factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 4,
glob_h 2, 3
array_tmp1 : (- att(3, array_tmp1_a2, array_tmp1, 2)
4
- array_x att(3, array_tmp1_a1, array_tmp1, 2)
1
+ ats(4, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1
1 1
+ array_tmp1_a2 ), array_tmp1_a1 : att(3, array_tmp1_a2, array_tmp1, 1),
1 4
array_tmp1_a2 : - att(3, array_tmp1_a1, array_tmp1, 1),
4
array_tmp2 : array_tmp1 + array_const_0D0 ,
4 4 4
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
1
then (temporary : array_tmp2 glob_h factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 5,
glob_h 2, 4
array_tmp1 : (- att(4, array_tmp1_a2, array_tmp1, 2)
5
- array_x att(4, array_tmp1_a1, array_tmp1, 2)
1
+ ats(5, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1
1 1
+ array_tmp1_a2 ), array_tmp1_a1 : att(4, array_tmp1_a2, array_tmp1, 1),
1 5
array_tmp1_a2 : - att(4, array_tmp1_a1, array_tmp1, 1),
5
array_tmp2 : array_tmp1 + array_const_0D0 ,
5 5 5
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
1
then (temporary : array_tmp2 glob_h factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp1 :
kkk
(- att(kkk - 1, array_tmp1_a2, array_tmp1, 2)
- array_x att(kkk - 1, array_tmp1_a1, array_tmp1, 2)
1
+ ats(kkk, array_x, array_tmp1_a2, 2))
/(array_x array_tmp1_a1 + array_tmp1_a2 ),
1 1 1
array_tmp1_a1 : att(kkk - 1, array_tmp1_a2, array_tmp1, 1),
kkk
array_tmp1_a2 : - att(kkk - 1, array_tmp1_a1, array_tmp1, 1),
kkk
array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 1,
kkk kkk kkk
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
order_d
array_tmp2 glob_h
kkk
then (temporary : -----------------------------------------,
factorial_3(kkk - 1, - 1 + order_d + kkk)
array_y : temporary, array_y_higher : temporary,
order_d + kkk 1, order_d + kkk
term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d)
temporary convfp(adj2)
and (term >= 1) do (temporary : ----------------------,
glob_h
array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))),
adj2, term
kkk : 1 + kkk))
(%o8) atomall() := (array_tmp1 : arctan(array_x ),
1 1
array_tmp1_a1 : sin(array_tmp1 ), array_tmp1_a2 : cos(array_tmp1 ),
1 1 1 1
array_tmp2 : array_tmp1 + array_const_0D0 ,
1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
1
then (temporary : array_tmp2 glob_h factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 2,
glob_h 2, 1
array_tmp1 : (- att(1, array_tmp1_a2, array_tmp1, 2)
2
- array_x att(1, array_tmp1_a1, array_tmp1, 2)
1
+ ats(2, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1
1 1
+ array_tmp1_a2 ), array_tmp1_a1 : att(1, array_tmp1_a2, array_tmp1, 1),
1 2
array_tmp1_a2 : - att(1, array_tmp1_a1, array_tmp1, 1),
2
array_tmp2 : array_tmp1 + array_const_0D0 ,
2 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
1
then (temporary : array_tmp2 glob_h factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 3,
glob_h 2, 2
array_tmp1 : (- att(2, array_tmp1_a2, array_tmp1, 2)
3
- array_x att(2, array_tmp1_a1, array_tmp1, 2)
1
+ ats(3, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1
1 1
+ array_tmp1_a2 ), array_tmp1_a1 : att(2, array_tmp1_a2, array_tmp1, 1),
1 3
array_tmp1_a2 : - att(2, array_tmp1_a1, array_tmp1, 1),
3
array_tmp2 : array_tmp1 + array_const_0D0 ,
3 3 3
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
1
then (temporary : array_tmp2 glob_h factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 4,
glob_h 2, 3
array_tmp1 : (- att(3, array_tmp1_a2, array_tmp1, 2)
4
- array_x att(3, array_tmp1_a1, array_tmp1, 2)
1
+ ats(4, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1
1 1
+ array_tmp1_a2 ), array_tmp1_a1 : att(3, array_tmp1_a2, array_tmp1, 1),
1 4
array_tmp1_a2 : - att(3, array_tmp1_a1, array_tmp1, 1),
4
array_tmp2 : array_tmp1 + array_const_0D0 ,
4 4 4
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
1
then (temporary : array_tmp2 glob_h factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 5,
glob_h 2, 4
array_tmp1 : (- att(4, array_tmp1_a2, array_tmp1, 2)
5
- array_x att(4, array_tmp1_a1, array_tmp1, 2)
1
+ ats(5, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1
1 1
+ array_tmp1_a2 ), array_tmp1_a1 : att(4, array_tmp1_a2, array_tmp1, 1),
1 5
array_tmp1_a2 : - att(4, array_tmp1_a1, array_tmp1, 1),
5
array_tmp2 : array_tmp1 + array_const_0D0 ,
5 5 5
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
1
then (temporary : array_tmp2 glob_h factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp1 :
kkk
(- att(kkk - 1, array_tmp1_a2, array_tmp1, 2)
- array_x att(kkk - 1, array_tmp1_a1, array_tmp1, 2)
1
+ ats(kkk, array_x, array_tmp1_a2, 2))
/(array_x array_tmp1_a1 + array_tmp1_a2 ),
1 1 1
array_tmp1_a1 : att(kkk - 1, array_tmp1_a2, array_tmp1, 1),
kkk
array_tmp1_a2 : - att(kkk - 1, array_tmp1_a1, array_tmp1, 1),
kkk
array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 1,
kkk kkk kkk
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
order_d
array_tmp2 glob_h
kkk
then (temporary : -----------------------------------------,
factorial_3(kkk - 1, - 1 + order_d + kkk)
array_y : temporary, array_y_higher : temporary,
order_d + kkk 1, order_d + kkk
term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d)
temporary convfp(adj2)
and (term >= 1) do (temporary : ----------------------,
glob_h
array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))),
adj2, term
kkk : 1 + kkk))
log(x)
(%i9) log10(x) := ---------
log(10.0)
log(x)
(%o9) log10(x) := ---------
log(10.0)
(%i10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%o10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%i11) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%o11) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%i12) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%o12) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%i13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (if vallen = 4
then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)
else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel))
(%o13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (if vallen = 4
then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)
else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel))
(%i14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%o14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%i15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%o15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%i16) dump_series(iolevel, dump_label, series_name, array_series, numb) :=
if glob_iolevel >= iolevel then (i : 1,
while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ",
array_series ), newline(), i : 1 + i))
i
(%o16) dump_series(iolevel, dump_label, series_name, array_series, numb) :=
if glob_iolevel >= iolevel then (i : 1,
while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ",
array_series ), newline(), i : 1 + i))
i
(%i17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb,
subnum) := if glob_iolevel >= iolevel then (sub : 1,
while sub <= subnum do (i : 1, while i <=
num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i,
"series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))
sub, i
(%o17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb,
subnum) := if glob_iolevel >= iolevel then (sub : 1,
while sub <= subnum do (i : 1, while i <=
num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i,
"series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))
sub, i
(%i18) cs_info(iolevel, str) := if glob_iolevel >= iolevel
then sprint(concat("cs_info ", str, " glob_correct_start_flag = ",
glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h))
(%o18) cs_info(iolevel, str) := if glob_iolevel >= iolevel
then sprint(concat("cs_info ", str, " glob_correct_start_flag = ",
glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h))
(%i19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, "
"),
if secs >= 0.0 then (sec_in_millinium :
sec_in_min min_in_hour hours_in_day days_in_year years_in_century
secs
centuries_in_millinium, milliniums : ----------------,
sec_in_millinium
millinium_int : floor(milliniums), centuries :
(milliniums - millinium_int) centuries_in_millinium,
cent_int : floor(centuries), years : (centuries - cent_int) years_in_century,
years_int : floor(years), days : (years - years_int) days_in_year,
days_int : floor(days), hours : (days - days_int) hours_in_day,
hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour,
minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min,
sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\
Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elseif cent_int > 0 then printf(fd,
"~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int,
years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0
then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int,
sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds",
minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int))
else printf(fd, "Unknown"), printf(fd, " | "))
(%o19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""),
if secs >= 0.0 then (sec_in_millinium :
sec_in_min min_in_hour hours_in_day days_in_year years_in_century
secs
centuries_in_millinium, milliniums : ----------------,
sec_in_millinium
millinium_int : floor(milliniums), centuries :
(milliniums - millinium_int) centuries_in_millinium,
cent_int : floor(centuries), years : (centuries - cent_int) years_in_century,
years_int : floor(years), days : (years - years_int) days_in_year,
days_int : floor(days), hours : (days - days_int) hours_in_day,
hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour,
minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min,
sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\
Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int,
cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elseif cent_int > 0 then printf(fd,
"~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int,
years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0
then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int,
sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds",
minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int))
else printf(fd, "Unknown"), printf(fd, " | "))
(%i20) omniout_timestr(secs_in) := (secs : convfloat(secs_in),
if secs >= convfloat(0.0) then (sec_in_millinium :
convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day)
convfloat(days_in_year) convfloat(years_in_century)
secs
convfloat(centuries_in_millinium), milliniums : ---------------------------,
convfloat(sec_in_millinium)
millinium_int : floor(milliniums), centuries :
(milliniums - millinium_int) convfloat(centuries_in_millinium),
cent_int : floor(centuries), years : (centuries - cent_int)
convfloat(years_in_century), years_int : floor(years),
days : (years - years_int) convfloat(days_in_year), days_int : floor(days),
hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours),
minutes : (hours - hours_int) convfloat(min_in_hour),
minutes_int : floor(minutes), seconds :
(minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds),
if millinium_int > 0 then printf(true,
"= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%",
millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elseif cent_int > 0 then printf(true,
"= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int,
years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0
then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%",
years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%"))
(%o20) omniout_timestr(secs_in) := (secs : convfloat(secs_in),
if secs >= convfloat(0.0) then (sec_in_millinium :
convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day)
convfloat(days_in_year) convfloat(years_in_century)
secs
convfloat(centuries_in_millinium), milliniums : ---------------------------,
convfloat(sec_in_millinium)
millinium_int : floor(milliniums), centuries :
(milliniums - millinium_int) convfloat(centuries_in_millinium),
cent_int : floor(centuries), years : (centuries - cent_int)
convfloat(years_in_century), years_int : floor(years),
days : (years - years_int) convfloat(days_in_year), days_int : floor(days),
hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours),
minutes : (hours - hours_int) convfloat(min_in_hour),
minutes_int : floor(minutes), seconds :
(minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds),
if millinium_int > 0 then printf(true,
"= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%",
millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int)
elseif cent_int > 0 then printf(true,
"= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int,
years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0
then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%",
years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%"))
(%i21) mode_declare(ats, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o21) [ats]
(%i22) ats(mmm_ats, array_a, array_b, jjj_ats) :=
(ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats,
iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats,
ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%o22) ats(mmm_ats, array_a, array_b, jjj_ats) :=
(ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats,
iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats,
ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%i23) mode_declare(att, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o23) [att]
(%i24) att(mmm_att, array_aa, array_bb, jjj_att) :=
(ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att,
iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att,
al_att : lll_att - 1, if lll_att <= glob_max_terms
then ret_att : array_aa array_bb convfp(al_att) + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : ---------------), ret_att)
convfp(mmm_att)
(%o24) att(mmm_att, array_aa, array_bb, jjj_att) :=
(ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att,
iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att,
al_att : lll_att - 1, if lll_att <= glob_max_terms
then ret_att : array_aa array_bb convfp(al_att) + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : ---------------), ret_att)
convfp(mmm_att)
(%i25) display_pole() := if (array_pole # glob_large_float)
1
and (array_pole > 0.0) and (array_pole # glob_large_float)
1 2
and (array_pole > 0.0) and glob_display_flag
2
then (omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole , 4, " "), omniout_float(ALWAYS,
1
"Order of pole ", 4, array_pole , 4, " "))
2
(%o25) display_pole() := if (array_pole # glob_large_float)
1
and (array_pole > 0.0) and (array_pole # glob_large_float)
1 2
and (array_pole > 0.0) and glob_display_flag
2
then (omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole , 4, " "), omniout_float(ALWAYS,
1
"Order of pole ", 4, array_pole , 4, " "))
2
(%i26) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "))
(%o26) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "))
(%i27) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "))
(%o27) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "))
(%i28) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "))
(%o28) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "))
(%i29) log_revs(file, revs) := printf(file, revs)
(%o29) log_revs(file, revs) := printf(file, revs)
(%i30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x),
printf(file, " | "))
(%o30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x),
printf(file, " | "))
(%i31) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"),
printf(file, " | "))
(%o31) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"),
printf(file, " | "))
(%i32) logstart(file) := printf(file, "")
(%o32) logstart(file) := printf(file, "
")
(%i33) logend(file) := printf(file, "
~%")
(%o33) logend(file) := printf(file, "~%")
(%i34) chk_data() := (errflag : false,
if (glob_max_terms < 15) or (glob_max_terms > 512)
then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"),
glob_max_terms : 30), if glob_max_iter < 2
then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true),
if errflag then quit())
(%o34) chk_data() := (errflag : false,
if (glob_max_terms < 15) or (glob_max_terms > 512)
then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"),
glob_max_terms : 30), if glob_max_iter < 2
then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true),
if errflag then quit())
(%i35) mode_declare(comp_expect_sec, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o35) [comp_expect_sec]
(%i36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) :=
(ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%o36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) :=
(ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%i37) mode_declare(comp_percent, bfloat)
modedeclare: bfloat
is not a built-in type; assuming it is a Maxima extension type.
(%o37) [comp_percent]
(%i38) comp_percent(t_end2, t_start2, t2) :=
(sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
100.0 sub2
if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr)
sub1
(%o38) comp_percent(t_end2, t_start2, t2) :=
(sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
100.0 sub2
if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr)
sub1
(%i39) factorial_1(nnn) := (if nnn <= glob_max_terms
then (if array_fact_1 = 0 then (ret : nnn!, array_fact_1 : ret)
nnn nnn
else ret : array_fact_1 ) else ret : nnn!, ret)
nnn
(%o39) factorial_1(nnn) := (if nnn <= glob_max_terms
then (if array_fact_1 = 0 then (ret : nnn!, array_fact_1 : ret)
nnn nnn
else ret : array_fact_1 ) else ret : nnn!, ret)
nnn
(%i40) factorial_3(mmm, nnn) := (if (nnn <= glob_max_terms)
and (mmm <= glob_max_terms) then (if array_fact_2 = 0
mmm, nnn
factorial_1(mmm)
then (ret : ----------------, array_fact_2 : ret)
factorial_1(nnn) mmm, nnn
mmm!
else ret : array_fact_2 ) else ret : ----, ret)
mmm, nnn nnn!
(%o40) factorial_3(mmm, nnn) := (if (nnn <= glob_max_terms)
and (mmm <= glob_max_terms) then (if array_fact_2 = 0
mmm, nnn
factorial_1(mmm)
then (ret : ----------------, array_fact_2 : ret)
factorial_1(nnn) mmm, nnn
mmm!
else ret : array_fact_2 ) else ret : ----, ret)
mmm, nnn nnn!
(%i41) convfp(mmm) := mmm
(%o41) convfp(mmm) := mmm
(%i42) convfloat(mmm) := mmm
(%o42) convfloat(mmm) := mmm
(%i43) elapsed_time_seconds() := (t : elapsed_real_time(), t)
(%o43) elapsed_time_seconds() := (t : elapsed_real_time(), t)
(%i44) arcsin(x) := asin(x)
(%o44) arcsin(x) := asin(x)
(%i45) arccos(x) := acos(x)
(%o45) arccos(x) := acos(x)
(%i46) arctan(x) := atan(x)
(%o46) arctan(x) := atan(x)
- log(1.0 + x x)
(%i47) exact_soln_y(x) := ---------------- + x arctan(x) + 2.0
2.0
- log(1.0 + x x)
(%o47) exact_soln_y(x) := ---------------- + x arctan(x) + 2.0
2.0
(%i48) mainprog() := (define_variable(glob_iolevel, 5, fixnum),
define_variable(ALWAYS, 1, fixnum), define_variable(glob_max_terms, 30,
fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(INFO, 2, fixnum),
define_variable(DEBUGMASSIVE, 4, fixnum),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_start, 0, fixnum),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_disp_incr, 0.1, float),
define_variable(days_in_year, 365.0, float),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(hours_in_day, 24.0, float),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_display_flag, true, boolean),
define_variable(djd_debug, true, boolean),
define_variable(glob_html_log, true, boolean),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_h, 0.1, float), define_variable(min_in_hour, 60.0,
float), define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_warned2, false, boolean),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_warned, false, boolean),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_hmax, 1.0, float),
define_variable(glob_clock_sec, 0.0, float),
define_variable(djd_debug2, true, boolean),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_iter, 0, fixnum),
define_variable(years_in_century, 100.0, float),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_dump, false, boolean), ALWAYS : 1, INFO : 2, DEBUGL : 3,
DEBUGMASSIVE : 4, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10,
glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1,
glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0,
glob_max_minutes : 15.0, omniout_str(ALWAYS,
"##############ECHO OF PROBLEM#################"),
omniout_str(ALWAYS, "##############temp/arctanpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = arctan ( x ) ;"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"),
omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start : -1.0,"), omniout_str(ALWAYS, "x_end : 5.00 ,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_h : 0.00001 ,"),
omniout_str(ALWAYS, "glob_look_poles : true,"),
omniout_str(ALWAYS, "glob_max_iter : 100,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_h : 0.001 ,"),
omniout_str(ALWAYS, "glob_look_poles : true,"),
omniout_str(ALWAYS, "glob_max_iter : 1000,"),
omniout_str(ALWAYS, "glob_max_minutes : 15,"),
omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"),
omniout_str(ALWAYS, "exact_soln_y (x) := ("),
omniout_str(ALWAYS, "2.0 + x * arctan(x) - log(x * x + 1.0)/2.0"),
omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, ""),
omniout_str(ALWAYS, "/* END USER DEF BLOCK */"),
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false,
glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64,
glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0,
glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 32, max_terms : 30,
glob_max_terms : max_terms, glob_html_log : true,
array(array_1st_rel_error, 1 + max_terms), array(array_fact_1, 1 + max_terms),
array(array_tmp1_a1, 1 + max_terms), array(array_tmp1_a2, 1 + max_terms),
array(array_m1, 1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms),
array(array_y_init, 1 + max_terms), array(array_y, 1 + max_terms),
array(array_x, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_last_rel_error, 1 + max_terms), array(array_pole, 1 + max_terms),
array(array_type_pole, 1 + max_terms),
array(array_fact_2, 1 + max_terms, 1 + max_terms),
array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3),
array(array_complex_pole, 1 + 1, 1 + 3),
array(array_y_higher_work, 1 + 2, 1 + max_terms),
array(array_y_higher_work2, 1 + 2, 1 + max_terms), term : 1,
while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_fact_1 : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_tmp1_a1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp1_a2 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_y_init : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_y : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_norms : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_pole : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_type_pole : 0.0,
term
term : 1 + term), ord : 1, while ord <= max_terms do (term : 1,
while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_real_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_complex_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher_work2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), array(array_tmp1_a2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_a2 : 0.0, term : 1 + term),
term
array(array_tmp1_a1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_a1 : 0.0, term : 1 + term),
term
array(array_tmp2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
array(array_tmp1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
array(array_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
array(array_x, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term),
term
array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term),
term
array(array_const_1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term),
term
array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term),
term
array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0,
1
while jjjf <= glob_max_terms do (array_fact_1 : 0,
iiif
array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif),
iiif, jjjf
x_start : - 1.0, x_end : 5.0, array_y_init : exact_soln_y(x_start),
1 + 0
glob_h : 1.0E-5, glob_look_poles : true, glob_max_iter : 100, glob_h : 0.001,
glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15,
glob_last_good_h : glob_h, glob_max_terms : max_terms,
glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours)
+ convfloat(60.0) convfloat(glob_max_minutes),
glob_log10_abserr glob_log10_relerr
glob_abserr : 10.0 , glob_relerr : 10.0 ,
chk_data(), array_y_set_initial : true, array_y_set_initial : false,
1, 1 1, 2
array_y_set_initial : false, array_y_set_initial : false,
1, 3 1, 4
array_y_set_initial : false, array_y_set_initial : false,
1, 5 1, 6
array_y_set_initial : false, array_y_set_initial : false,
1, 7 1, 8
array_y_set_initial : false, array_y_set_initial : false,
1, 9 1, 10
array_y_set_initial : false, array_y_set_initial : false,
1, 11 1, 12
array_y_set_initial : false, array_y_set_initial : false,
1, 13 1, 14
array_y_set_initial : false, array_y_set_initial : false,
1, 15 1, 16
array_y_set_initial : false, array_y_set_initial : false,
1, 17 1, 18
array_y_set_initial : false, array_y_set_initial : false,
1, 19 1, 20
array_y_set_initial : false, array_y_set_initial : false,
1, 21 1, 22
array_y_set_initial : false, array_y_set_initial : false,
1, 23 1, 24
array_y_set_initial : false, array_y_set_initial : false,
1, 25 1, 26
array_y_set_initial : false, array_y_set_initial : false,
1, 27 1, 28
array_y_set_initial : false, array_y_set_initial : false,
1, 29 1, 30
if glob_html_log then html_log_file : openw("html/entry.html"),
omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
term_no - 1
array_y_init glob_h
term_no
-------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
term_no - 1
array_y_init glob_h
it
array_y_higher : --------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(), start_array_y(),
if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, log10norm : log10(tmp),
! 1, 1!
if log10norm < glob_log10normmin then glob_log10normmin : log10norm),
display_alot(current_iter), glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "),
glob_reached_optimal_h : true, glob_optimal_clock_start_sec :
elapsed_time_seconds(), while (glob_current_iter < glob_max_iter)
and (array_x <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
1
convfloat(glob_max_sec)) do (omniout_str
(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
if glob_look_poles then check_for_pole(), array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1,
2
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms,
factorial_1(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms,
factorial_1(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, term_no : glob_max_terms,
factorial_1(calc_term - 1)!
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1),
ord, term_no
display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"),
if glob_iter >= glob_max_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(glob_max_sec) then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(),
omniout_str(INFO, "diff ( y , x , 1 ) = arctan ( x ) ;"),
omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "),
prog_report(x_start, x_end), if glob_html_log
then (logstart(html_log_file), logitem_str(html_log_file,
"2012-06-17T19:28:13-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "arctan"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = arctan ( x ) ;"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), logitem_integer(html_log_file,
glob_max_terms), logitem_float(html_log_file, array_1st_rel_error ),
1
logitem_float(html_log_file, array_last_rel_error ),
1
logitem_integer(html_log_file, glob_iter),
logitem_pole(html_log_file, array_type_pole ),
1
if (array_type_pole = 1) or (array_type_pole = 2)
1 1
then (logitem_float(html_log_file, array_pole ),
1
logitem_float(html_log_file, array_pole ), 0)
2
else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0),
logitem_time(html_log_file, convfloat(glob_clock_sec)),
if glob_percent_done < 100.0 then (logitem_time(html_log_file,
convfloat(glob_optimal_expect_sec)), 0)
else (logitem_str(html_log_file, "Done"), 0),
log_revs(html_log_file, " 092 | "), logitem_str(html_log_file, "arctan diffeq.max"), logitem_str(html_log_file, "\
arctan maxima results"),
logitem_str(html_log_file, "Mostly affecting speed of factorials"),
logend(html_log_file)), if glob_html_log then close(html_log_file))
(%o48) mainprog() := (define_variable(glob_iolevel, 5, fixnum),
define_variable(ALWAYS, 1, fixnum), define_variable(glob_max_terms, 30,
fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(INFO, 2, fixnum),
define_variable(DEBUGMASSIVE, 4, fixnum),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_start, 0, fixnum),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_disp_incr, 0.1, float),
define_variable(days_in_year, 365.0, float),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(hours_in_day, 24.0, float),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_display_flag, true, boolean),
define_variable(djd_debug, true, boolean),
define_variable(glob_html_log, true, boolean),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_h, 0.1, float), define_variable(min_in_hour, 60.0,
float), define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_warned2, false, boolean),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_warned, false, boolean),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_hmax, 1.0, float),
define_variable(glob_clock_sec, 0.0, float),
define_variable(djd_debug2, true, boolean),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_iter, 0, fixnum),
define_variable(years_in_century, 100.0, float),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_dump, false, boolean), ALWAYS : 1, INFO : 2, DEBUGL : 3,
DEBUGMASSIVE : 4, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10,
glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1,
glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0,
glob_max_minutes : 15.0, omniout_str(ALWAYS,
"##############ECHO OF PROBLEM#################"),
omniout_str(ALWAYS, "##############temp/arctanpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = arctan ( x ) ;"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"),
omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start : -1.0,"), omniout_str(ALWAYS, "x_end : 5.00 ,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_h : 0.00001 ,"),
omniout_str(ALWAYS, "glob_look_poles : true,"),
omniout_str(ALWAYS, "glob_max_iter : 100,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_h : 0.001 ,"),
omniout_str(ALWAYS, "glob_look_poles : true,"),
omniout_str(ALWAYS, "glob_max_iter : 1000,"),
omniout_str(ALWAYS, "glob_max_minutes : 15,"),
omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"),
omniout_str(ALWAYS, "exact_soln_y (x) := ("),
omniout_str(ALWAYS, "2.0 + x * arctan(x) - log(x * x + 1.0)/2.0"),
omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, ""),
omniout_str(ALWAYS, "/* END USER DEF BLOCK */"),
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false,
glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64,
glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0,
glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 32, max_terms : 30,
glob_max_terms : max_terms, glob_html_log : true,
array(array_1st_rel_error, 1 + max_terms), array(array_fact_1, 1 + max_terms),
array(array_tmp1_a1, 1 + max_terms), array(array_tmp1_a2, 1 + max_terms),
array(array_m1, 1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms),
array(array_y_init, 1 + max_terms), array(array_y, 1 + max_terms),
array(array_x, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_last_rel_error, 1 + max_terms), array(array_pole, 1 + max_terms),
array(array_type_pole, 1 + max_terms),
array(array_fact_2, 1 + max_terms, 1 + max_terms),
array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3),
array(array_complex_pole, 1 + 1, 1 + 3),
array(array_y_higher_work, 1 + 2, 1 + max_terms),
array(array_y_higher_work2, 1 + 2, 1 + max_terms), term : 1,
while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_fact_1 : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_tmp1_a1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp1_a2 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_y_init : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_y : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_norms : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_pole : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_type_pole : 0.0,
term
term : 1 + term), ord : 1, while ord <= max_terms do (term : 1,
while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_real_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_complex_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher_work2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), array(array_tmp1_a2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_a2 : 0.0, term : 1 + term),
term
array(array_tmp1_a1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1_a1 : 0.0, term : 1 + term),
term
array(array_tmp2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
array(array_tmp1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
array(array_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
array(array_x, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term),
term
array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term),
term
array(array_const_1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term),
term
array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term),
term
array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0,
1
while jjjf <= glob_max_terms do (array_fact_1 : 0,
iiif
array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif),
iiif, jjjf
x_start : - 1.0, x_end : 5.0, array_y_init : exact_soln_y(x_start),
1 + 0
glob_h : 1.0E-5, glob_look_poles : true, glob_max_iter : 100, glob_h : 0.001,
glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15,
glob_last_good_h : glob_h, glob_max_terms : max_terms,
glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours)
+ convfloat(60.0) convfloat(glob_max_minutes),
glob_log10_abserr glob_log10_relerr
glob_abserr : 10.0 , glob_relerr : 10.0 ,
chk_data(), array_y_set_initial : true, array_y_set_initial : false,
1, 1 1, 2
array_y_set_initial : false, array_y_set_initial : false,
1, 3 1, 4
array_y_set_initial : false, array_y_set_initial : false,
1, 5 1, 6
array_y_set_initial : false, array_y_set_initial : false,
1, 7 1, 8
array_y_set_initial : false, array_y_set_initial : false,
1, 9 1, 10
array_y_set_initial : false, array_y_set_initial : false,
1, 11 1, 12
array_y_set_initial : false, array_y_set_initial : false,
1, 13 1, 14
array_y_set_initial : false, array_y_set_initial : false,
1, 15 1, 16
array_y_set_initial : false, array_y_set_initial : false,
1, 17 1, 18
array_y_set_initial : false, array_y_set_initial : false,
1, 19 1, 20
array_y_set_initial : false, array_y_set_initial : false,
1, 21 1, 22
array_y_set_initial : false, array_y_set_initial : false,
1, 23 1, 24
array_y_set_initial : false, array_y_set_initial : false,
1, 25 1, 26
array_y_set_initial : false, array_y_set_initial : false,
1, 27 1, 28
array_y_set_initial : false, array_y_set_initial : false,
1, 29 1, 30
if glob_html_log then html_log_file : openw("html/entry.html"),
omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
term_no - 1
array_y_init glob_h
term_no
-------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
term_no - 1
array_y_init glob_h
it
array_y_higher : --------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(), start_array_y(),
if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, log10norm : log10(tmp),
! 1, 1!
if log10norm < glob_log10normmin then glob_log10normmin : log10norm),
display_alot(current_iter), glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "),
glob_reached_optimal_h : true, glob_optimal_clock_start_sec :
elapsed_time_seconds(), while (glob_current_iter < glob_max_iter)
and (array_x <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
1
convfloat(glob_max_sec)) do (omniout_str
(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
if glob_look_poles then check_for_pole(), array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1,
2
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms,
factorial_1(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms,
factorial_1(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, term_no : glob_max_terms,
factorial_1(calc_term - 1)!
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1),
ord, term_no
display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"),
if glob_iter >= glob_max_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(glob_max_sec) then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(),
omniout_str(INFO, "diff ( y , x , 1 ) = arctan ( x ) ;"),
omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "),
prog_report(x_start, x_end), if glob_html_log
then (logstart(html_log_file), logitem_str(html_log_file,
"2012-06-17T19:28:13-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "arctan"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = arctan ( x ) ;"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), logitem_integer(html_log_file,
glob_max_terms), logitem_float(html_log_file, array_1st_rel_error ),
1
logitem_float(html_log_file, array_last_rel_error ),
1
logitem_integer(html_log_file, glob_iter),
logitem_pole(html_log_file, array_type_pole ),
1
if (array_type_pole = 1) or (array_type_pole = 2)
1 1
then (logitem_float(html_log_file, array_pole ),
1
logitem_float(html_log_file, array_pole ), 0)
2
else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0),
logitem_time(html_log_file, convfloat(glob_clock_sec)),
if glob_percent_done < 100.0 then (logitem_time(html_log_file,
convfloat(glob_optimal_expect_sec)), 0)
else (logitem_str(html_log_file, "Done"), 0),
log_revs(html_log_file, " 092 | "), logitem_str(html_log_file, "arctan diffeq.max"), logitem_str(html_log_file, "\
arctan maxima results"),
logitem_str(html_log_file, "Mostly affecting speed of factorials"),
logend(html_log_file)), if glob_html_log then close(html_log_file))
(%i49) mainprog()
"##############ECHO OF PROBLEM#################"
"##############temp/arctanpostode.ode#################"
"diff ( y , x , 1 ) = arctan ( x ) ;"
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits : 32,"
"max_terms : 30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start : -1.0,"
"x_end : 5.00 ,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_h : 0.00001 ,"
"glob_look_poles : true,"
"glob_max_iter : 100,"
"/* END SECOND INPUT BLOCK */"
"/* BEGIN OVERRIDE BLOCK */"
"glob_h : 0.001 ,"
"glob_look_poles : true,"
"glob_max_iter : 1000,"
"glob_max_minutes : 15,"
"/* END OVERRIDE BLOCK */"
"!"
"/* BEGIN USER DEF BLOCK */"
"exact_soln_y (x) := ("
"2.0 + x * arctan(x) - log(x * x + 1.0)/2.0"
");"
""
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Soultion"
x[1] = -1. " "
y[1] (analytic) = 2.4388245731174756 " "
y[1] (numeric) = 2.4388245731174756 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"NO POLE"
x[1] = -0.999 " "
y[1] (analytic) = 2.438039425037432 " "
y[1] (numeric) = 2.438039425037432 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.410682297775844 " "
Order of pole = 0.9049422358367423 " "
x[1] = -0.998 " "
y[1] (analytic) = 2.437254777457681 " "
y[1] (numeric) = 2.4372547774576807 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.822087760202466300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.4099805103941578 " "
Order of pole = 0.9050053430326486 " "
x[1] = -0.997 " "
y[1] (analytic) = 2.4364706308789708 " "
y[1] (numeric) = 2.4364706308789708 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.4092791234969106 " "
Order of pole = 0.9050692600428487 " "
x[1] = -0.996 " "
y[1] (analytic) = 2.4356869858025525 " "
y[1] (numeric) = 2.4356869858025525 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.4085781357326659 " "
Order of pole = 0.9051339531669065 " "
x[1] = -0.995 " "
y[1] (analytic) = 2.4349038427301757 " "
y[1] (numeric) = 2.4349038427301757 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.4078775457210477 " "
Order of pole = 0.9051993881494464 " "
x[1] = -0.994 " "
y[1] (analytic) = 2.434121202164091 " "
y[1] (numeric) = 2.4341212021640906 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.824433431890074300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.4071773520532345 " "
Order of pole = 0.9052655301880623 " "
x[1] = -0.993 " "
y[1] (analytic) = 2.4333390646070474 " "
y[1] (numeric) = 2.433339064607047 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.82501985156670800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.4064775532928786 " "
Order of pole = 0.905332343949258 " "
x[1] = -0.992 " "
y[1] (analytic) = 2.4325574305622952 " "
y[1] (numeric) = 2.432557430562295 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.825606270464947300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.4057781479764824 " "
Order of pole = 0.905399793574583 " "
x[1] = -0.991 " "
y[1] (analytic) = 2.431776300533584 " "
y[1] (numeric) = 2.4317763005335835 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.826192687841475800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.4050791346158633 " "
Order of pole = 0.9054678427246099 " "
x[1] = -0.99 " "
y[1] (analytic) = 2.4309956750251636 " "
y[1] (numeric) = 2.430995675025163 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.826779102951163500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.404380511697251 " "
Order of pole = 0.9055364545618314 " "
x[1] = -0.989 " "
y[1] (analytic) = 2.4302155545417836 " "
y[1] (numeric) = 2.430215554541783 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.827365515047061400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.403682277684272 " "
Order of pole = 0.9056055918041483 " "
x[1] = -0.988 " "
y[1] (analytic) = 2.4294359395886937 " "
y[1] (numeric) = 2.4294359395886933 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.82795192338040170000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.402984431016996 " "
Order of pole = 0.9056752167069995 " "
x[1] = -0.987 " "
y[1] (analytic) = 2.4286568306716427 " "
y[1] (numeric) = 2.4286568306716423 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.828538327200595600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.4022869701146097 " "
Order of pole = 0.9057452911111135 " "
x[1] = -0.986 " "
y[1] (analytic) = 2.42787822829688 " "
y[1] (numeric) = 2.4278782282968794 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.82912472575523100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.401589893375798 " "
Order of pole = 0.905815776448911 " "
x[1] = -0.985 " "
y[1] (analytic) = 2.4271001329711535 " "
y[1] (numeric) = 2.427100132971153 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.829711118290069700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.4008931991790825 " "
Order of pole = 0.9058866337501374 " "
x[1] = -0.984 " "
y[1] (analytic) = 2.426322545201712 " "
y[1] (numeric) = 2.426322545201712 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.4001968858863891 " "
Order of pole = 0.9059578237059682 " "
x[1] = -0.983 " "
y[1] (analytic) = 2.4255454654963047 " "
y[1] (numeric) = 2.4255454654963042 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.830883882274270400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3995009518412813 " "
Order of pole = 0.9060293066365688 " "
x[1] = -0.982 " "
y[1] (analytic) = 2.424768894363178 " "
y[1] (numeric) = 2.4247688943631776 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.831470252206013300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3988053953721322 " "
Order of pole = 0.9061010425480696 " "
x[1] = -0.981 " "
y[1] (analytic) = 2.4239928323110798 " "
y[1] (numeric) = 2.4239928323110793 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.832056613082719800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3981102147916815 " "
Order of pole = 0.9061729911241834 " "
x[1] = -0.98 " "
y[1] (analytic) = 2.4232172798492564 " "
y[1] (numeric) = 2.423217279849256 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.832642964140997500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3974154084004784 " "
Order of pole = 0.9062451117882535 " "
x[1] = -0.979 " "
y[1] (analytic) = 2.4224422374874544 " "
y[1] (numeric) = 2.422442237487454 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.833229304615617300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3967209744858309 " "
Order of pole = 0.906317363683808 " "
x[1] = -0.978 " "
y[1] (analytic) = 2.421667705735919 " "
y[1] (numeric) = 2.4216677057359184 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.83381563373951280000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3960269113238026 " "
Order of pole = 0.9063897057105148 " "
x[1] = -0.977 " "
y[1] (analytic) = 2.420893685105395 " "
y[1] (numeric) = 2.4208936851053946 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.834401950743776400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3953332171816133 " "
Order of pole = 0.9064620965674095 " "
x[1] = -0.976 " "
y[1] (analytic) = 2.4201201761071265 " "
y[1] (numeric) = 2.4201201761071265 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3946398903167154 " "
Order of pole = 0.9065344947358867 " "
x[1] = -0.975 " "
y[1] (analytic) = 2.419347179252858 " "
y[1] (numeric) = 2.4193471792528576 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.83557454530856600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3939469289803739 " "
Order of pole = 0.9066068585444711 " "
x[1] = -0.974 " "
y[1] (analytic) = 2.4185746950548306 " "
y[1] (numeric) = 2.41857469505483 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.83616082132205900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3932543314171075 " "
Order of pole = 0.9066791461585417 " "
x[1] = -0.973 " "
y[1] (analytic) = 2.4178027240257864 " "
y[1] (numeric) = 2.4178027240257856 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.67349416424370200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3925620958672793 " "
Order of pole = 0.9067513156270444 " "
x[1] = -0.972 " "
y[1] (analytic) = 2.4170312666789653 " "
y[1] (numeric) = 2.4170312666789644 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.674666653859612000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3918702205669689 " "
Order of pole = 0.9068233248802553 " "
x[1] = -0.971 " "
y[1] (analytic) = 2.416260323528107 " "
y[1] (numeric) = 2.416260323528106 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.675839109931871600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3911787037509358 " "
Order of pole = 0.9068951317834362 " "
x[1] = -0.97 " "
y[1] (analytic) = 2.415489895087449 " "
y[1] (numeric) = 2.415489895087448 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.677011530896800400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3904875436534154 " "
Order of pole = 0.9069666941511674 " "
x[1] = -0.969 " "
y[1] (analytic) = 2.4147199818717278 " "
y[1] (numeric) = 2.4147199818717273 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.83909195759350400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3897967385087084 " "
Order of pole = 0.907037969758246 " "
x[1] = -0.968 " "
y[1] (analytic) = 2.4139505843961793 " "
y[1] (numeric) = 2.4139505843961793 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3891062865529842 " "
Order of pole = 0.9071089163722803 " "
x[1] = -0.967 " "
y[1] (analytic) = 2.4131817031765377 " "
y[1] (numeric) = 2.4131817031765372 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.840264283727560700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3884161860262958 " "
Order of pole = 0.9071794917905205 " "
x[1] = -0.966 " "
y[1] (analytic) = 2.412413338729034 " "
y[1] (numeric) = 2.4124133387290336 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.84085041613983300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3877264351735588 " "
Order of pole = 0.9072496538576811 " "
x[1] = -0.965 " "
y[1] (analytic) = 2.411645491570399 " "
y[1] (numeric) = 2.4116454915703986 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.841436527061378300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.387037032245206 " "
Order of pole = 0.9073193604780254 " "
x[1] = -0.964 " "
y[1] (analytic) = 2.410878162217861 " "
y[1] (numeric) = 2.4108781622178608 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.842022615699200600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3863479754995633 " "
Order of pole = 0.9073885696587265 " "
x[1] = -0.963 " "
y[1] (analytic) = 2.4101113511891477 " "
y[1] (numeric) = 2.4101113511891468 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.68521736251687500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.385659263203344 " "
Order of pole = 0.907457239519097 " "
x[1] = -0.962 " "
y[1] (analytic) = 2.4093450590024816 " "
y[1] (numeric) = 2.409345059002481 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.843194722942361200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3849708936343912 " "
Order of pole = 0.9075253283406415 " "
x[1] = -0.961 " "
y[1] (analytic) = 2.408579286176587 " "
y[1] (numeric) = 2.4085792861765865 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.843780739952373000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3842828650816639 " "
Order of pole = 0.9075927945673019 " "
x[1] = -0.96 " "
y[1] (analytic) = 2.4078140332306823 " "
y[1] (numeric) = 2.4078140332306823 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3835951758477525 " "
Order of pole = 0.907659596851305 " "
x[1] = -0.959 " "
y[1] (analytic) = 2.4070493006844873 " "
y[1] (numeric) = 2.407049300684487 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.84495269674691700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3829078242492185 " "
Order of pole = 0.9077256940599217 " "
x[1] = -0.958 " "
y[1] (analytic) = 2.4062850890582146 " "
y[1] (numeric) = 2.4062850890582146 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.382220808618906 " "
Order of pole = 0.9077910453178415 " "
x[1] = -0.957 " "
y[1] (analytic) = 2.4055213988725788 " "
y[1] (numeric) = 2.4055213988725783 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.846124545215846500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3815341273066368 " "
Order of pole = 0.907855610020297 " "
x[1] = -0.956 " "
y[1] (analytic) = 2.4047582306487874 " "
y[1] (numeric) = 2.4047582306487874 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3808477786818336 " "
Order of pole = 0.9079193478813785 " "
x[1] = -0.955 " "
y[1] (analytic) = 2.4039955849085484 " "
y[1] (numeric) = 2.403995584908548 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.847296278902926500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3801617611333707 " "
Order of pole = 0.9079822189317213 " "
x[1] = -0.954 " "
y[1] (analytic) = 2.4032334621740636 " "
y[1] (numeric) = 2.4032334621740636 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3794760730723028 " "
Order of pole = 0.9080441835688973 " "
x[1] = -0.953 " "
y[1] (analytic) = 2.4024718629680355 " "
y[1] (numeric) = 2.402471862968035 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.848467891321860500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3787907129317554 " "
Order of pole = 0.9081052025558751 " "
x[1] = -0.952 " "
y[1] (analytic) = 2.401710787813659 " "
y[1] (numeric) = 2.4017107878136583 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.698107300041141000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3781056791708244 " "
Order of pole = 0.9081652370929412 " "
x[1] = -0.951 " "
y[1] (analytic) = 2.4009502372346274 " "
y[1] (numeric) = 2.400950237234627 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.84963937595623300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3774209702730797 " "
Order of pole = 0.9082242487908161 " "
x[1] = -0.95 " "
y[1] (analytic) = 2.40019021175513 " "
y[1] (numeric) = 2.40019021175513 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3767365847494106 " "
Order of pole = 0.9082821997234802 " "
x[1] = -0.949 " "
y[1] (analytic) = 2.3994307118998535 " "
y[1] (numeric) = 2.3994307118998535 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3760525211403105 " "
Order of pole = 0.9083390524704544 " "
x[1] = -0.948 " "
y[1] (analytic) = 2.398671738193978 " "
y[1] (numeric) = 2.398671738193978 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3753687780153898 " "
Order of pole = 0.9083947701086732 " "
x[1] = -0.947 " "
y[1] (analytic) = 2.397913291163181 " "
y[1] (numeric) = 2.3979132911631815 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.85198193565474400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3746853539761181 " "
Order of pole = 0.9084493162634715 " "
x[1] = -0.946 " "
y[1] (analytic) = 2.3971553713336355 " "
y[1] (numeric) = 2.397155371333636 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.85256748544837800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.374002247656276 " "
Order of pole = 0.9085026551174984 " "
x[1] = -0.945 " "
y[1] (analytic) = 2.3963979792320096 " "
y[1] (numeric) = 2.39639797923201 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.853152997535004700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3733194577242456 " "
Order of pole = 0.9085547514534902 " "
x[1] = -0.944 " "
y[1] (analytic) = 2.395641115385466 " "
y[1] (numeric) = 2.395641115385467 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.707476942168003700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3726369828832907 " "
Order of pole = 0.9086055706603648 " "
x[1] = -0.943 " "
y[1] (analytic) = 2.3948847803216644 " "
y[1] (numeric) = 2.394884780321665 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.85432390526284800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3719548218734283 " "
Order of pole = 0.9086550787681968 " "
x[1] = -0.942 " "
y[1] (analytic) = 2.3941289745687566 " "
y[1] (numeric) = 2.394128974568757 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.854909299237123800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3712729734737041 " "
Order of pole = 0.9087032424908514 " "
x[1] = -0.941 " "
y[1] (analytic) = 2.3933736986553913 " "
y[1] (numeric) = 2.3933736986553917 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.855494652170507600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3705914365017207 " "
Order of pole = 0.9087500292184103 " "
x[1] = -0.94 " "
y[1] (analytic) = 2.39261895311071 " "
y[1] (numeric) = 2.392618953110711 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.7121599264495503000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3699102098157419 " "
Order of pole = 0.9087954070565551 " "
x[1] = -0.939 " "
y[1] (analytic) = 2.39186473846435 " "
y[1] (numeric) = 2.391864738464351 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.71333046311959400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3692292923158755 " "
Order of pole = 0.9088393448493477 " "
x[1] = -0.938 " "
y[1] (analytic) = 2.3911110552464416 " "
y[1] (numeric) = 2.3911110552464425 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.7145009126670797000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3685486829465396 " "
Order of pole = 0.9088818122253919 " "
x[1] = -0.9369999999999999 " "
y[1] (analytic) = 2.3903579039876095 " "
y[1] (numeric) = 2.3903579039876104 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.715671273404123000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3678683806949914 " "
Order of pole = 0.9089227795720767 " "
x[1] = -0.9359999999999999 " "
y[1] (analytic) = 2.389605285218971 " "
y[1] (numeric) = 2.389605285218972 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.716841543639024500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3671883845951645 " "
Order of pole = 0.9089622181068382 " "
x[1] = -0.9349999999999999 " "
y[1] (analytic) = 2.3888531994721385 " "
y[1] (numeric) = 2.3888531994721394 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.71801172167626200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.366508693727733 " "
Order of pole = 0.9090000998796679 " "
x[1] = -0.9339999999999999 " "
y[1] (analytic) = 2.388101647279216 " "
y[1] (numeric) = 2.3881016472792167 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.719181805816491600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.365829307223575 " "
Order of pole = 0.9090363978371769 " "
x[1] = -0.9329999999999999 " "
y[1] (analytic) = 2.3873506291728006 " "
y[1] (numeric) = 2.3873506291728015 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.72035179435654400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3651502242530458 " "
Order of pole = 0.9090710856294208 " "
x[1] = -0.9319999999999999 " "
y[1] (analytic) = 2.386600145685983 " "
y[1] (numeric) = 2.3866001456859838 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.72152168558941900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3644714440519599 " "
Order of pole = 0.9091041380831335 " "
x[1] = -0.9309999999999999 " "
y[1] (analytic) = 2.3858501973523456 " "
y[1] (numeric) = 2.3858501973523465 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.72269147780428700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3637929658964933 " "
Order of pole = 0.9091355307471503 " "
x[1] = -0.9299999999999999 " "
y[1] (analytic) = 2.385100784705964 " "
y[1] (numeric) = 2.3851007847059646 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.8619305846432400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.363114789119225 " "
Order of pole = 0.9091652401855814 " "
x[1] = -0.9289999999999999 " "
y[1] (analytic) = 2.3843519082814044 " "
y[1] (numeric) = 2.3843519082814053 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.72503075831749740000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3624369131052605 " "
Order of pole = 0.909193243908641 " "
x[1] = -0.9279999999999999 " "
y[1] (analytic) = 2.3836035686137262 " "
y[1] (numeric) = 2.3836035686137267 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.863100121587497600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3617593372951045 " "
Order of pole = 0.9092195204264062 " "
x[1] = -0.9269999999999999 " "
y[1] (analytic) = 2.382855766238479 " "
y[1] (numeric) = 2.3828557662384795 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.863684811066393400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3610820611840464 " "
Order of pole = 0.9092440492392164 " "
x[1] = -0.9259999999999999 " "
y[1] (analytic) = 2.3821085016917043 " "
y[1] (numeric) = 2.3821085016917047 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.864269446730421300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3604050843243392 " "
Order of pole = 0.9092668108787496 " "
x[1] = -0.9249999999999999 " "
y[1] (analytic) = 2.381361775509935 " "
y[1] (numeric) = 2.381361775509935 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3597284063259776 " "
Order of pole = 0.9092877869238158 " "
x[1] = -0.9239999999999999 " "
y[1] (analytic) = 2.380615588230193 " "
y[1] (numeric) = 2.380615588230193 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3590520268569597 " "
Order of pole = 0.9093069600065977 " "
x[1] = -0.9229999999999999 " "
y[1] (analytic) = 2.379869940389993 " "
y[1] (numeric) = 2.379869940389993 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.358375945644543 " "
Order of pole = 0.9093243138370326 " "
x[1] = -0.9219999999999999 " "
y[1] (analytic) = 2.3791248325273386 " "
y[1] (numeric) = 2.3791248325273386 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3577001624761156 " "
Order of pole = 0.9093398332203417 " "
x[1] = -0.9209999999999999 " "
y[1] (analytic) = 2.378380265180723 " "
y[1] (numeric) = 2.378380265180723 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3570246772006032 " "
Order of pole = 0.9093535040842244 " "
x[1] = -0.9199999999999999 " "
y[1] (analytic) = 2.3776362388891292 " "
y[1] (numeric) = 2.3776362388891297 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.867776081918857400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3563494897278405 " "
Order of pole = 0.9093653134688502 " "
x[1] = -0.9189999999999999 " "
y[1] (analytic) = 2.376892754192031 " "
y[1] (numeric) = 2.3768927541920313 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.868360316496569800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3556746000306399 " "
Order of pole = 0.9093752495662599 " "
x[1] = -0.9179999999999999 " "
y[1] (analytic) = 2.3761498116293884 " "
y[1] (numeric) = 2.3761498116293893 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.73788898053981700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.355000008145187 " "
Order of pole = 0.909383301729239 " "
x[1] = -0.9169999999999999 " "
y[1] (analytic) = 2.3754074117416533 " "
y[1] (numeric) = 2.375407411741654 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.73905720471298500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.354325714170457 " "
Order of pole = 0.9093894604619681 " "
x[1] = -0.9159999999999999 " "
y[1] (analytic) = 2.3746655550697637 " "
y[1] (numeric) = 2.3746655550697646 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.74022530374401300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3536517182713501 " "
Order of pole = 0.9093937174791691 " "
x[1] = -0.9149999999999999 " "
y[1] (analytic) = 2.3739242421551463 " "
y[1] (numeric) = 2.3739242421551476 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.61208991379059600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3529780206771262 " "
Order of pole = 0.9093960656788678 " "
x[1] = -0.9139999999999999 " "
y[1] (analytic) = 2.3731834735397173 " "
y[1] (numeric) = 2.373183473539718 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.742561119285751600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3523046216825954 " "
Order of pole = 0.9093964991657106 " "
x[1] = -0.9129999999999999 " "
y[1] (analytic) = 2.3724432497658774 " "
y[1] (numeric) = 2.3724432497658783 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.743728832239820400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3516315216488954 " "
Order of pole = 0.9093950132669466 " "
x[1] = -0.9119999999999999 " "
y[1] (analytic) = 2.371703571376517 " "
y[1] (numeric) = 2.3717035713765178 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.744896412938460000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.350958721003907 " "
Order of pole = 0.909391604541355 " "
x[1] = -0.9109999999999999 " "
y[1] (analytic) = 2.370964438915012 " "
y[1] (numeric) = 2.370964438915013 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.746063859593646000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3502862202427015 " "
Order of pole = 0.9093862707890583 " "
x[1] = -0.9099999999999999 " "
y[1] (analytic) = 2.370225852925226 " "
y[1] (numeric) = 2.3702258529252274 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.620846755620200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3496140199275777 " "
Order of pole = 0.9093790110538116 " "
x[1] = -0.9089999999999999 " "
y[1] (analytic) = 2.3694878139515083 " "
y[1] (numeric) = 2.3694878139515096 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.622597515403187000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.348942120688625 " "
Order of pole = 0.9093698256347462 " "
x[1] = -0.9079999999999999 " "
y[1] (analytic) = 2.368750322538694 " "
y[1] (numeric) = 2.368750322538695 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.62434806603989400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3482705232245646 " "
Order of pole = 0.909358716103343 " "
x[1] = -0.9069999999999999 " "
y[1] (analytic) = 2.368013379232103 " "
y[1] (numeric) = 2.3680133792321048 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.50146453976660200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3475992283022422 " "
Order of pole = 0.9093456852956248 " "
x[1] = -0.9059999999999999 " "
y[1] (analytic) = 2.367276984577542 " "
y[1] (numeric) = 2.367276984577544 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.50379803872952400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3469282367570994 " "
Order of pole = 0.9093307373223212 " "
x[1] = -0.9049999999999999 " "
y[1] (analytic) = 2.3665411391213023 " "
y[1] (numeric) = 2.366541139121304 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.50613124798587900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.346257549493518 " "
Order of pole = 0.9093138775766381 " "
x[1] = -0.9039999999999999 " "
y[1] (analytic) = 2.365805843410158 " "
y[1] (numeric) = 2.3658058434101603 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.38558020488140200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3455871674850914 " "
Order of pole = 0.9092951127407076 " "
x[1] = -0.9029999999999999 " "
y[1] (analytic) = 2.36507109799137 " "
y[1] (numeric) = 2.365071097991372 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.51079678284890200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3449170917738198 " "
Order of pole = 0.9092744507722372 " "
x[1] = -0.9019999999999999 " "
y[1] (analytic) = 2.3643369034126804 " "
y[1] (numeric) = 2.364336903412682 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.5131291011710700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3442473234717303 " "
Order of pole = 0.9092519009357378 " "
x[1] = -0.9009999999999999 " "
y[1] (analytic) = 2.3636032602223165 " "
y[1] (numeric) = 2.3636032602223183 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.51546111521765900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3435778637592184 " "
Order of pole = 0.9092274737733934 " "
x[1] = -0.8999999999999999 " "
y[1] (analytic) = 2.3628701689689886 " "
y[1] (numeric) = 2.36287016896899 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.638344615995163000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3429087138859752 " "
Order of pole = 0.9092011811234944 " "
x[1] = -0.8989999999999999 " "
y[1] (analytic) = 2.3621376302018886 " "
y[1] (numeric) = 2.36213763020189 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.64009316187186300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3422398751710143 " "
Order of pole = 0.9091730361223718 " "
x[1] = -0.8979999999999999 " "
y[1] (analytic) = 2.3614056444706915 " "
y[1] (numeric) = 2.361405644470693 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.641841471285275000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3415713490016112 " "
Order of pole = 0.9091430531861739 " "
x[1] = -0.8969999999999999 " "
y[1] (analytic) = 2.3606742123255535 " "
y[1] (numeric) = 2.3606742123255553 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.52478605529528500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3409031368341384 " "
Order of pole = 0.909111248027429 " "
x[1] = -0.8959999999999999 " "
y[1] (analytic) = 2.359943334317114 " "
y[1] (numeric) = 2.3599433343171157 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.52711649288082100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.340235240193136 " "
Order of pole = 0.9090776376394469 " "
x[1] = -0.8949999999999999 " "
y[1] (analytic) = 2.3592130109964913 " "
y[1] (numeric) = 2.3592130109964935 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.41180825512841100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3395676606711855 " "
Order of pole = 0.9090422402950828 " "
x[1] = -0.8939999999999999 " "
y[1] (analytic) = 2.358483242915287 " "
y[1] (numeric) = 2.358483242915289 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.53177638525224900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3389003999290838 " "
Order of pole = 0.9090050755511729 " "
x[1] = -0.8929999999999999 " "
y[1] (analytic) = 2.35775403062558 " "
y[1] (numeric) = 2.3577540306255824 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.41763229076599200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3382334596945409 " "
Order of pole = 0.9089661642258395 " "
x[1] = -0.8919999999999999 " "
y[1] (analytic) = 2.357025374679932 " "
y[1] (numeric) = 2.3570253746799343 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.42054367807488900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3375668417625888 " "
Order of pole = 0.908925528407071 " "
x[1] = -0.8909999999999999 " "
y[1] (analytic) = 2.3562972756313827 " "
y[1] (numeric) = 2.356297275631385 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.42345463882664200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3369005479944185 " "
Order of pole = 0.908883191432519 " "
x[1] = -0.8899999999999999 " "
y[1] (analytic) = 2.3555697340334514 " "
y[1] (numeric) = 2.355569734033453 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.54109213467685200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.336234580317474 " "
Order of pole = 0.9088391778921743 " "
x[1] = -0.8889999999999999 " "
y[1] (analytic) = 2.3548427504401355 " "
y[1] (numeric) = 2.3548427504401372 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.54342020955852700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3355689407245872 " "
Order of pole = 0.9087935136135972 " "
x[1] = -0.8879999999999999 " "
y[1] (analytic) = 2.354116325405911 " "
y[1] (numeric) = 2.3541163254059128 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.54574793195047500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.334903631273079 " "
Order of pole = 0.9087462256463166 " "
x[1] = -0.8869999999999999 " "
y[1] (analytic) = 2.3533904594857313 " "
y[1] (numeric) = 2.3533904594857336 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.43509412261121500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3342386540845037 " "
Order of pole = 0.9086973422580318 " "
x[1] = -0.8859999999999999 " "
y[1] (analytic) = 2.3526651532350287 " "
y[1] (numeric) = 2.352665153235031 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.43800288025302800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3335740113438685 " "
Order of pole = 0.908646892921162 " "
x[1] = -0.8849999999999999 " "
y[1] (analytic) = 2.3519404072097108 " "
y[1] (numeric) = 2.351940407209713 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.44091118313920300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3329097052986267 " "
Order of pole = 0.908594908295191 " "
x[1] = -0.8839999999999999 " "
y[1] (analytic) = 2.3512162219661623 " "
y[1] (numeric) = 2.3512162219661645 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.44381902653557300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3322457382579866 " "
Order of pole = 0.9085414202146982 " "
x[1] = -0.8829999999999999 " "
y[1] (analytic) = 2.3504925980612437 " "
y[1] (numeric) = 2.3504925980612463 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.13360716868377450000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3315821125921894 " "
Order of pole = 0.9084864616767874 " "
x[1] = -0.8819999999999999 " "
y[1] (analytic) = 2.349769536052292 " "
y[1] (numeric) = 2.3497695360522943 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.44963331587297800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3309188307311248 " "
Order of pole = 0.9084300668163703 " "
x[1] = -0.8809999999999999 " "
y[1] (analytic) = 2.3490470364971174 " "
y[1] (numeric) = 2.34904703649712 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.13430477027557180000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3302558951640486 " "
Order of pole = 0.9083722709015252 " "
x[1] = -0.8799999999999999 " "
y[1] (analytic) = 2.3483250999540073 " "
y[1] (numeric) = 2.3483250999540095 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.45544571019490100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3295933084379696 " "
Order of pole = 0.9083131103043893 " "
x[1] = -0.8789999999999999 " "
y[1] (analytic) = 2.3476037269817205 " "
y[1] (numeric) = 2.3476037269817227 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.45835118478495400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3289310731569806 " "
Order of pole = 0.9082526224893446 " "
x[1] = -0.8779999999999999 " "
y[1] (analytic) = 2.3468829181394915 " "
y[1] (numeric) = 2.346882918139494 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.13535074055279480000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3282691919807386 " "
Order of pole = 0.908190845985569 " "
x[1] = -0.8769999999999999 " "
y[1] (analytic) = 2.346162673987028 " "
y[1] (numeric) = 2.3461626739870303 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.46416066485673800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3276076676238162 " "
Order of pole = 0.9081278203753378 " "
x[1] = -0.8759999999999999 " "
y[1] (analytic) = 2.345442995084509 " "
y[1] (numeric) = 2.3454429950845115 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.13604775928667130000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.326946502854124 " "
Order of pole = 0.9080635862656106 " "
x[1] = -0.8749999999999999 " "
y[1] (analytic) = 2.344723881992587 " "
y[1] (numeric) = 2.3447238819925893 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.46996815404694700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.326285700491668 " "
Order of pole = 0.9079981852649155 " "
x[1] = -0.8739999999999999 " "
y[1] (analytic) = 2.3440053352723855 " "
y[1] (numeric) = 2.3440053352723877 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.47287113999800600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3256252634075598 " "
Order of pole = 0.9079316599657528 " "
x[1] = -0.8729999999999999 " "
y[1] (analytic) = 2.3432873554855 " "
y[1] (numeric) = 2.343287355485502 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.47577361373276500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3249651945223135 " "
Order of pole = 0.9078640539133005 " "
x[1] = -0.8719999999999999 " "
y[1] (analytic) = 2.342569943193996 " "
y[1] (numeric) = 2.3425699431939977 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.58294045631893700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3243054968048025 " "
Order of pole = 0.9077954115859868 " "
x[1] = -0.8709999999999999 " "
y[1] (analytic) = 2.341853098960409 " "
y[1] (numeric) = 2.341853098960411 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.58526160410662600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3236461732705582 " "
Order of pole = 0.9077257783645347 " "
x[1] = -0.8699999999999999 " "
y[1] (analytic) = 2.341136823347745 " "
y[1] (numeric) = 2.3411368233477474 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.48447791306426600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3229872269804122 " "
Order of pole = 0.907655200506591 " "
x[1] = -0.8689999999999999 " "
y[1] (analytic) = 2.3404211169194795 " "
y[1] (numeric) = 2.3404211169194817 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.48737828930940300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3223286610389466 " "
Order of pole = 0.9075837251182453 " "
x[1] = -0.8679999999999999 " "
y[1] (analytic) = 2.3397059802395552 " "
y[1] (numeric) = 2.339705980239557 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.59222250318125400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3216704785930569 " "
Order of pole = 0.9075114001271682 " "
x[1] = -0.8669999999999999 " "
y[1] (analytic) = 2.338991413872383 " "
y[1] (numeric) = 2.3389914138723853 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.4931774271637500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3210126828303352 " "
Order of pole = 0.9074382742524936 " "
x[1] = -0.8659999999999999 " "
y[1] (analytic) = 2.3382774183828436 " "
y[1] (numeric) = 2.3382774183828454 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.59686094316722200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.320355276977174 " "
Order of pole = 0.9073643969698573 " "
x[1] = -0.8649999999999999 " "
y[1] (analytic) = 2.3375639943362816 " "
y[1] (numeric) = 2.337563994336284 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.49897437944058200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.319698264297498 " "
Order of pole = 0.9072898184872162 " "
x[1] = -0.8639999999999999 " "
y[1] (analytic) = 2.33685114229851 " "
y[1] (numeric) = 2.3368511422985128 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.1402246428412030000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.319041648090804 " "
Order of pole = 0.9072145897084027 " "
x[1] = -0.8629999999999999 " "
y[1] (analytic) = 2.336138862835808 " "
y[1] (numeric) = 2.3361388628358104 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.50476910672571500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.318385431690501 " "
Order of pole = 0.9071387622018889 " "
x[1] = -0.8619999999999999 " "
y[1] (analytic) = 2.335427156514919 " "
y[1] (numeric) = 2.335427156514921 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.50766562363611300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3177296184620686 " "
Order of pole = 0.9070623881662225 " "
x[1] = -0.8609999999999999 " "
y[1] (analytic) = 2.334716023903051 " "
y[1] (numeric) = 2.334716023903053 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.5105615694464310000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3170742118013437 " "
Order of pole = 0.9069855203976509 " "
x[1] = -0.8599999999999999 " "
y[1] (analytic) = 2.334005465567877 " "
y[1] (numeric) = 2.3340054655678792 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.51345693918529700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3164192151325278 " "
Order of pole = 0.9069082122527128 " "
x[1] = -0.8589999999999999 " "
y[1] (analytic) = 2.333295482077533 " "
y[1] (numeric) = 2.333295482077536 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.14196220734457150000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3157646319064584 " "
Order of pole = 0.9068305176151874 " "
x[1] = -0.8579999999999999 " "
y[1] (analytic) = 2.33258607400062 " "
y[1] (numeric) = 2.332586074000622 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.51924593051361500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3151104655986212 " "
Order of pole = 0.9067524908588265 " "
x[1] = -0.8569999999999999 " "
y[1] (analytic) = 2.331877241906198 " "
y[1] (numeric) = 2.3318772419062004 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.52213954211073600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3144567197071377 " "
Order of pole = 0.9066741868089618 " "
x[1] = -0.8559999999999999 " "
y[1] (analytic) = 2.331168986363792 " "
y[1] (numeric) = 2.331168986363794 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.52503255765174400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3138033977509278 " "
Order of pole = 0.9065956607075609 " "
x[1] = -0.8549999999999999 " "
y[1] (analytic) = 2.330461307943386 " "
y[1] (numeric) = 2.3304613079433882 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.52792497211566900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3131505032676467 " "
Order of pole = 0.9065169681740279 " "
x[1] = -0.8539999999999999 " "
y[1] (analytic) = 2.329754207215426 " "
y[1] (numeric) = 2.3297542072154283 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.53081678047161700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3124980398116366 " "
Order of pole = 0.9064381651659374 " "
x[1] = -0.8529999999999999 " "
y[1] (analytic) = 2.329047684750818 " "
y[1] (numeric) = 2.32904768475082 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.53370797767876500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3118460109518775 " "
Order of pole = 0.9063593079402796 " "
x[1] = -0.8519999999999999 " "
y[1] (analytic) = 2.3283417411209264 " "
y[1] (numeric) = 2.3283417411209286 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.53659855868636700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3111944202699757 " "
Order of pole = 0.9062804530144533 " "
x[1] = -0.8509999999999999 " "
y[1] (analytic) = 2.3276363768975745 " "
y[1] (numeric) = 2.3276363768975776 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.33552839258072430000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.310543271358012 " "
Order of pole = 0.906201657125397 " "
x[1] = -0.8499999999999999 " "
y[1] (analytic) = 2.3269315926530467 " "
y[1] (numeric) = 2.326931592653049 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.5423778518502800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3098925678163567 " "
Order of pole = 0.9061229771874206 " "
x[1] = -0.8489999999999999 " "
y[1] (analytic) = 2.32622738896008 " "
y[1] (numeric) = 2.3262273889600826 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.14543198646265320000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3092423132516324 " "
Order of pole = 0.9060444702532742 " "
x[1] = -0.8479999999999999 " "
y[1] (analytic) = 2.325523766391872 " "
y[1] (numeric) = 2.3255237663918744 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.54815461935875700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3085925112745722 " "
Order of pole = 0.9059661934726009 " "
x[1] = -0.8469999999999999 " "
y[1] (analytic) = 2.3248207255220747 " "
y[1] (numeric) = 2.3248207255220774 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.14612504519117810000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3079431654976956 " "
Order of pole = 0.9058882040471978 " "
x[1] = -0.8459999999999999 " "
y[1] (analytic) = 2.3241182669247973 " "
y[1] (numeric) = 2.3241182669247995 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.55392882044828100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3072942795332836 " "
Order of pole = 0.9058105591919752 " "
x[1] = -0.8449999999999999 " "
y[1] (analytic) = 2.323416391174602 " "
y[1] (numeric) = 2.323416391174604 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.55681494580387200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3066458569910577 " "
Order of pole = 0.9057333160900605 " "
x[1] = -0.8439999999999999 " "
y[1] (analytic) = 2.3227150988465066 " "
y[1] (numeric) = 2.322715098846509 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.55970041419637900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.305997901476016 " "
Order of pole = 0.9056565318506227 " "
x[1] = -0.8429999999999999 " "
y[1] (analytic) = 2.322014390515982 " "
y[1] (numeric) = 2.3220143905159842 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 9.56258522048565300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3053504165861596 " "
Order of pole = 0.9055802634650671 " "
x[1] = -0.8419999999999999 " "
y[1] (analytic) = 2.321314266758953 " "
y[1] (numeric) = 2.3213142667589546 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.65237548761728700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3047034059103642 " "
Order of pole = 0.905504567765453 " "
x[1] = -0.8409999999999999 " "
y[1] (analytic) = 2.3206147281517944 " "
y[1] (numeric) = 2.320614728151796 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.65468226091537900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.304056873026001 " "
Order of pole = 0.9054295013781442 " "
x[1] = -0.8399999999999999 " "
y[1] (analytic) = 2.3199157752713346 " "
y[1] (numeric) = 2.3199157752713364 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.65698849214683100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3034108214966895 " "
Order of pole = 0.9053551206801611 " "
x[1] = -0.8389999999999999 " "
y[1] (analytic) = 2.3192174086948527 " "
y[1] (numeric) = 2.3192174086948545 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.65929417716772400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3027652548702315 " "
Order of pole = 0.9052814817586725 " "
x[1] = -0.8379999999999999 " "
y[1] (analytic) = 2.3185196290000767 " "
y[1] (numeric) = 2.3185196290000785 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.66159931182619200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.30212017667609 " "
Order of pole = 0.90520864036184 " "
x[1] = -0.8369999999999999 " "
y[1] (analytic) = 2.3178224367651854 " "
y[1] (numeric) = 2.317822436765187 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.66390389196241100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3014755904232704 " "
Order of pole = 0.9051366518569353 " "
x[1] = -0.8359999999999999 " "
y[1] (analytic) = 2.3171258325688058 " "
y[1] (numeric) = 2.3171258325688076 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.66620791340861600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3008314995981458 " "
Order of pole = 0.9050655711883753 " "
x[1] = -0.8349999999999999 " "
y[1] (analytic) = 2.3164298169900124 " "
y[1] (numeric) = 2.316429816990014 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.66851137198908500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.3001879076620158 " "
Order of pole = 0.9049954528290609 " "
x[1] = -0.8339999999999999 " "
y[1] (analytic) = 2.315734390608328 " "
y[1] (numeric) = 2.3157343906083296 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 7.6708142635201500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.299544818048874 " "
Order of pole = 0.9049263507366199 " "
x[1] = -0.8329999999999999 " "
y[1] (analytic) = 2.315039554003722 " "
y[1] (numeric) = 2.315039554003723 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.83655829190509500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.298902234163431 " "
Order of pole = 0.9048583183148402 " "
x[1] = -0.8319999999999999 " "
y[1] (analytic) = 2.314345307756608 " "
y[1] (numeric) = 2.314345307756609 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.8377091643298200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.298260159378505 " "
Order of pole = 0.904791408361616 " "
x[1] = -0.8309999999999998 " "
y[1] (analytic) = 2.313651652447847 " "
y[1] (numeric) = 2.3136516524478474 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.91942987346524500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2976185970330125 " "
Order of pole = 0.9047256730294091 " "
x[1] = -0.8299999999999998 " "
y[1] (analytic) = 2.312958588658742 " "
y[1] (numeric) = 2.3129585886587427 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.84001003759937500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.296977550429801 " "
Order of pole = 0.9046611637825599 " "
x[1] = -0.8289999999999998 " "
y[1] (analytic) = 2.312266116971042 " "
y[1] (numeric) = 2.312266116971043 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.84116003422476500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2963370228332798 " "
Order of pole = 0.904597931349894 " "
x[1] = -0.8279999999999998 " "
y[1] (analytic) = 2.3115742379669375 " "
y[1] (numeric) = 2.3115742379669384 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.84230973469098200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2956970174672633 " "
Order of pole = 0.9045360256820292 " "
x[1] = -0.8269999999999998 " "
y[1] (analytic) = 2.3108829522290613 " "
y[1] (numeric) = 2.310882952229062 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.84345913687837200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2950575375129676 " "
Order of pole = 0.9044754959116066 " "
x[1] = -0.8259999999999998 " "
y[1] (analytic) = 2.310192260340487 " "
y[1] (numeric) = 2.310192260340488 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.844608238663310700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2944185861066302 " "
Order of pole = 0.9044163903056326 " "
x[1] = -0.8249999999999998 " "
y[1] (analytic) = 2.3095021628847303 " "
y[1] (numeric) = 2.309502162884731 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.84575703791819800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2937801663376096 " "
Order of pole = 0.9043587562276763 " "
x[1] = -0.8239999999999998 " "
y[1] (analytic) = 2.308812660445745 " "
y[1] (numeric) = 2.3088126604457457 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.84690553251146600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2931422812460396 " "
Order of pole = 0.904302640090819 " "
x[1] = -0.8229999999999998 " "
y[1] (analytic) = 2.308123753607924 " "
y[1] (numeric) = 2.308123753607925 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.848053720307572600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2925049338211227 " "
Order of pole = 0.9042480873236283 " "
x[1] = -0.8219999999999998 " "
y[1] (analytic) = 2.3074354429561 " "
y[1] (numeric) = 2.3074354429561006 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.924600799583503500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2918681269985144 " "
Order of pole = 0.9041951423171941 " "
x[1] = -0.8209999999999998 " "
y[1] (analytic) = 2.306747729075541 " "
y[1] (numeric) = 2.3067477290755414 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.925174583473144300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2912318636587532 " "
Order of pole = 0.904143848394078 " "
x[1] = -0.8199999999999998 " "
y[1] (analytic) = 2.3060606125519527 " "
y[1] (numeric) = 2.306060612551953 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.925748210748983000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2905961466252631 " "
Order of pole = 0.904094247767615 " "
x[1] = -0.8189999999999998 " "
y[1] (analytic) = 2.3053740939714764 " "
y[1] (numeric) = 2.305374093971477 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.926321680335309500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.289960978661962 " "
Order of pole = 0.9040463814938491 " "
x[1] = -0.8179999999999998 " "
y[1] (analytic) = 2.304688173920688 " "
y[1] (numeric) = 2.304688173920689 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.85378998230886170000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2893263624719262 " "
Order of pole = 0.9040002894443155 " "
x[1] = -0.8169999999999998 " "
y[1] (analytic) = 2.304002852986599 " "
y[1] (numeric) = 2.3040028529865997 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.854936284253339700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2886923006949493 " "
Order of pole = 0.903956010256687 " "
x[1] = -0.8159999999999998 " "
y[1] (analytic) = 2.303318131756652 " "
y[1] (numeric) = 2.3033181317566522 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.928041132170365500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.288058795906194 " "
Order of pole = 0.9039135813071084 " "
x[1] = -0.8149999999999998 " "
y[1] (analytic) = 2.302634010818722 " "
y[1] (numeric) = 2.3026340108187227 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.928613960201876500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2874258506137308 " "
Order of pole = 0.9038730386603202 " "
x[1] = -0.8139999999999998 " "
y[1] (analytic) = 2.301950490761118 " "
y[1] (numeric) = 2.3019504907611186 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.929186625135576600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2867934672575003 " "
Order of pole = 0.9038344170482304 " "
x[1] = -0.8129999999999998 " "
y[1] (analytic) = 2.3012675721725784 " "
y[1] (numeric) = 2.3012675721725784 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.286161648207176 " "
Order of pole = 0.9037977498262233 " "
x[1] = -0.8119999999999998 " "
y[1] (analytic) = 2.30058525564227 " "
y[1] (numeric) = 2.3005852556422703 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.930331461357137300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2855303957603363 " "
Order of pole = 0.9037630689356178 " "
x[1] = -0.8109999999999998 " "
y[1] (analytic) = 2.299903541759791 " "
y[1] (numeric) = 2.2999035417597913 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.93090363046384080000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2848997121411236 " "
Order of pole = 0.9037304048760539 " "
x[1] = -0.8099999999999998 " "
y[1] (analytic) = 2.299222431115166 " "
y[1] (numeric) = 2.2992224311151666 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.931475632110421800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2842695994986721 " "
Order of pole = 0.9036997866728651 " "
x[1] = -0.8089999999999998 " "
y[1] (analytic) = 2.2985419242988483 " "
y[1] (numeric) = 2.2985419242988483 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2836400599052804 " "
Order of pole = 0.9036712418395396 " "
x[1] = -0.8079999999999998 " "
y[1] (analytic) = 2.297862021901716 " "
y[1] (numeric) = 2.297862021901716 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2830110953550644 " "
Order of pole = 0.9036447963493703 " "
x[1] = -0.8069999999999998 " "
y[1] (analytic) = 2.297182724515073 " "
y[1] (numeric) = 2.297182724515073 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2823827077627334 " "
Order of pole = 0.9036204746100438 " "
x[1] = -0.8059999999999998 " "
y[1] (analytic) = 2.2965040327306494 " "
y[1] (numeric) = 2.2965040327306494 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2817548989617498 " "
Order of pole = 0.9035982994252691 " "
x[1] = -0.8049999999999998 " "
y[1] (analytic) = 2.2958259471405973 " "
y[1] (numeric) = 2.2958259471405973 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2811276707034236 " "
Order of pole = 0.9035782919754141 " "
x[1] = -0.8039999999999998 " "
y[1] (analytic) = 2.2951484683374916 " "
y[1] (numeric) = 2.2951484683374916 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.280501024655587 " "
Order of pole = 0.9035604717896781 " "
x[1] = -0.8029999999999998 " "
y[1] (analytic) = 2.29447159691433 " "
y[1] (numeric) = 2.29447159691433 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2798749624011883 " "
Order of pole = 0.9035448567162518 " "
x[1] = -0.8019999999999998 " "
y[1] (analytic) = 2.2937953334645305 " "
y[1] (numeric) = 2.2937953334645305 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2792494854370222 " "
Order of pole = 0.9035314628955344 " "
x[1] = -0.8009999999999998 " "
y[1] (analytic) = 2.2931196785819306 " "
y[1] (numeric) = 2.293119678581931 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.936615929809159500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2786245951733664 " "
Order of pole = 0.9035203047513605 " "
x[1] = -0.7999999999999998 " "
y[1] (analytic) = 2.2924446328607884 " "
y[1] (numeric) = 2.292444632860789 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.93718619627412600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2780002929320575 " "
Order of pole = 0.9035113949506659 " "
x[1] = -0.7989999999999998 " "
y[1] (analytic) = 2.291770196895779 " "
y[1] (numeric) = 2.291770196895779 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2773765799462018 " "
Order of pole = 0.903504744396205 " "
x[1] = -0.7979999999999998 " "
y[1] (analytic) = 2.291096371281993 " "
y[1] (numeric) = 2.2910963712819936 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.938326189227782300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2767534573588417 " "
Order of pole = 0.9035003621980326 " "
x[1] = -0.7969999999999998 " "
y[1] (analytic) = 2.2904231566149407 " "
y[1] (numeric) = 2.2904231566149416 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.877791826959961500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2761309262226814 " "
Order of pole = 0.9034982556663884 " "
x[1] = -0.7959999999999998 " "
y[1] (analytic) = 2.289750553490545 " "
y[1] (numeric) = 2.289750553490546 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.87893090950962700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2755089874986212 " "
Order of pole = 0.9034984302803437 " "
x[1] = -0.7949999999999998 " "
y[1] (analytic) = 2.2890785625051446 " "
y[1] (numeric) = 2.2890785625051455 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.880069623858220500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2748876420556194 " "
Order of pole = 0.9035008896833681 " "
x[1] = -0.7939999999999998 " "
y[1] (analytic) = 2.2884071842554907 " "
y[1] (numeric) = 2.288407184255491 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.94060398387773100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2742668906701349 " "
Order of pole = 0.903505635670296 " "
x[1] = -0.7929999999999998 " "
y[1] (analytic) = 2.287736419338746 " "
y[1] (numeric) = 2.2877364193387466 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.941172969473570000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2736467340251765 " "
Order of pole = 0.9035126681663019 " "
x[1] = -0.7919999999999998 " "
y[1] (analytic) = 2.2870662683524854 " "
y[1] (numeric) = 2.2870662683524863 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.88348353517510800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.273027172710087 " "
Order of pole = 0.903521985220598 " "
x[1] = -0.7909999999999998 " "
y[1] (analytic) = 2.286396731894695 " "
y[1] (numeric) = 2.286396731894696 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.884620754177286500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2724082072202596 " "
Order of pole = 0.9035335829989428 " "
x[1] = -0.7899999999999998 " "
y[1] (analytic) = 2.285727810563768 " "
y[1] (numeric) = 2.285727810563769 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.885757593687669000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2717898379566794 " "
Order of pole = 0.9035474557723546 " "
x[1] = -0.7889999999999998 " "
y[1] (analytic) = 2.2850595049585083 " "
y[1] (numeric) = 2.2850595049585087 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.94344702571816100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2711720652257061 " "
Order of pole = 0.903563595910736 " "
x[1] = -0.7879999999999998 " "
y[1] (analytic) = 2.284391815678125 " "
y[1] (numeric) = 2.2843918156781253 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.94401506257469300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.270554889239069 " "
Order of pole = 0.9035819938807972 " "
x[1] = -0.7869999999999998 " "
y[1] (analytic) = 2.2837247433222334 " "
y[1] (numeric) = 2.2837247433222343 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.8891658125490797000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2699383101136816 " "
Order of pole = 0.9036026382402405 " "
x[1] = -0.7859999999999998 " "
y[1] (analytic) = 2.2830582884908566 " "
y[1] (numeric) = 2.283058288490857 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.945150555676849200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2693223278717556 " "
Order of pole = 0.9036255156380477 " "
x[1] = -0.7849999999999998 " "
y[1] (analytic) = 2.2823924517844185 " "
y[1] (numeric) = 2.2823924517844194 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.891436019277624000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2687069424405655 " "
Order of pole = 0.9036506108075155 " "
x[1] = -0.7839999999999998 " "
y[1] (analytic) = 2.281727233803749 " "
y[1] (numeric) = 2.2817272338037493 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.946285267015657200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.268092153653006 " "
Order of pole = 0.9036779065755507 " "
x[1] = -0.7829999999999998 " "
y[1] (analytic) = 2.2810626351500773 " "
y[1] (numeric) = 2.281062635150078 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.946852326660660800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2674779612480713 " "
Order of pole = 0.9037073838701186 " "
x[1] = -0.7819999999999998 " "
y[1] (analytic) = 2.2803986564250356 " "
y[1] (numeric) = 2.280398656425036 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.94741918742514100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2668643648701756 " "
Order of pole = 0.9037390217043431 " "
x[1] = -0.7809999999999998 " "
y[1] (analytic) = 2.2797352982306553 " "
y[1] (numeric) = 2.279735298230656 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.947985848158461400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2662513640709039 " "
Order of pole = 0.9037727972098342 " "
x[1] = -0.7799999999999998 " "
y[1] (analytic) = 2.2790725611693667 " "
y[1] (numeric) = 2.279072561169367 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.948552307708032700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2656389583086085 " "
Order of pole = 0.9038086856262542 " "
x[1] = -0.7789999999999998 " "
y[1] (analytic) = 2.278410445843998 " "
y[1] (numeric) = 2.278410445843998 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2650271469492615 " "
Order of pole = 0.9038466603164537 " "
x[1] = -0.7779999999999998 " "
y[1] (analytic) = 2.2777489528577735 " "
y[1] (numeric) = 2.2777489528577735 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2644159292668218 " "
Order of pole = 0.9038866927715947 " "
x[1] = -0.7769999999999998 " "
y[1] (analytic) = 2.277088082814313 " "
y[1] (numeric) = 2.277088082814313 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2638053044450297 " "
Order of pole = 0.9039287526453634 " "
x[1] = -0.7759999999999998 " "
y[1] (analytic) = 2.2764278363176325 " "
y[1] (numeric) = 2.276427836317632 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.950816110948743500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2631952715769355 " "
Order of pole = 0.9039728077422353 " "
x[1] = -0.7749999999999998 " "
y[1] (analytic) = 2.2757682139721385 " "
y[1] (numeric) = 2.275768213972138 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.951381547222451000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2625858296666919 " "
Order of pole = 0.904018824051489 " "
x[1] = -0.7739999999999998 " "
y[1] (analytic) = 2.275109216382632 " "
y[1] (numeric) = 2.2751092163826314 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.95194677535592600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.261976977630035 " "
Order of pole = 0.904066765754763 " "
x[1] = -0.7729999999999998 " "
y[1] (analytic) = 2.274450844154304 " "
y[1] (numeric) = 2.274450844154303 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.90502358836588300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.261368714296082 " "
Order of pole = 0.9041165952604757 " "
x[1] = -0.7719999999999998 " "
y[1] (analytic) = 2.2737930978927356 " "
y[1] (numeric) = 2.2737930978927348 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.90615320507065930000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2607610384076935 " "
Order of pole = 0.9041682732086365 " "
x[1] = -0.7709999999999998 " "
y[1] (analytic) = 2.273135978203897 " "
y[1] (numeric) = 2.2731359782038965 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.953641199242980300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.260153948623315 " "
Order of pole = 0.904221758506317 " "
x[1] = -0.7699999999999998 " "
y[1] (analytic) = 2.272479485694146 " "
y[1] (numeric) = 2.2724794856941455 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.95420558313384400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2595474435179943 " "
Order of pole = 0.9042770083459821 " "
x[1] = -0.7689999999999998 " "
y[1] (analytic) = 2.2718236209702263 " "
y[1] (numeric) = 2.2718236209702263 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.258941521584998 " "
Order of pole = 0.9043339782361617 " "
x[1] = -0.7679999999999998 " "
y[1] (analytic) = 2.2711683846392683 " "
y[1] (numeric) = 2.271168384639268 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.955333707767324700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2583361812378078 " "
Order of pole = 0.9043926220399321 " "
x[1] = -0.7669999999999998 " "
y[1] (analytic) = 2.2705137773087847 " "
y[1] (numeric) = 2.2705137773087842 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.95589744615615900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2577314208101913 " "
Order of pole = 0.9044528919739712 " "
x[1] = -0.7659999999999998 " "
y[1] (analytic) = 2.2698597995866727 " "
y[1] (numeric) = 2.269859799586672 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.912921934041287400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2571272385594623 " "
Order of pole = 0.904514738673063 " "
x[1] = -0.7649999999999998 " "
y[1] (analytic) = 2.26920645208121 " "
y[1] (numeric) = 2.2692064520812094 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.95702426917905510000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2565236326678002 " "
Order of pole = 0.9045781112145246 " "
x[1] = -0.7639999999999998 " "
y[1] (analytic) = 2.2685537354010563 " "
y[1] (numeric) = 2.268553735401056 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.95758735144773800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.255920601243674 " "
Order of pole = 0.9046429571453523 " "
x[1] = -0.7629999999999998 " "
y[1] (analytic) = 2.26790165015525 " "
y[1] (numeric) = 2.2679016501552494 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.9581502126411100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2553181423242303 " "
Order of pole = 0.9047092225285684 " "
x[1] = -0.7619999999999998 " "
y[1] (analytic) = 2.2672501969532073 " "
y[1] (numeric) = 2.267250196953207 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.958712851571660600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2547162538768313 " "
Order of pole = 0.9047768519726294 " "
x[1] = -0.7609999999999998 " "
y[1] (analytic) = 2.266599376404722 " "
y[1] (numeric) = 2.2665993764047214 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.959275267049956400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2541149338016624 " "
Order of pole = 0.9048457886825734 " "
x[1] = -0.7599999999999998 " "
y[1] (analytic) = 2.2659491891199632 " "
y[1] (numeric) = 2.265949189119963 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.95983745788463800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2535141799334726 " "
Order of pole = 0.904915974493429 " "
x[1] = -0.7589999999999998 " "
y[1] (analytic) = 2.265299635709475 " "
y[1] (numeric) = 2.2652996357094746 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.960399422882426700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2529139900437765 " "
Order of pole = 0.9049873499133234 " "
x[1] = -0.7579999999999998 " "
y[1] (analytic) = 2.264650716784174 " "
y[1] (numeric) = 2.264650716784174 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2523143618435908 " "
Order of pole = 0.9050598541773027 " "
x[1] = -0.7569999999999998 " "
y[1] (analytic) = 2.26400243295535 " "
y[1] (numeric) = 2.26400243295535 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.251715292985441 " "
Order of pole = 0.9051334252863654 " "
x[1] = -0.7559999999999998 " "
y[1] (analytic) = 2.2633547848346627 " "
y[1] (numeric) = 2.2633547848346622 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.962083950892847500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.251116781065632 " "
Order of pole = 0.9052080000522551 " "
x[1] = -0.7549999999999998 " "
y[1] (analytic) = 2.262707773034141 " "
y[1] (numeric) = 2.2627077730341405 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.962645000571896500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.250518823627313 " "
Order of pole = 0.9052835141580324 " "
x[1] = -0.7539999999999998 " "
y[1] (analytic) = 2.2620613981661823 " "
y[1] (numeric) = 2.2620613981661823 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2499214181624287 " "
Order of pole = 0.9053599021963947 " "
x[1] = -0.7529999999999998 " "
y[1] (analytic) = 2.2614156608435523 " "
y[1] (numeric) = 2.2614156608435523 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2493245621149902 " "
Order of pole = 0.90543709773468 " "
x[1] = -0.7519999999999998 " "
y[1] (analytic) = 2.2607705616793807 " "
y[1] (numeric) = 2.2607705616793803 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.964326753795738500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2487282528830483 " "
Order of pole = 0.9055150333538169 " "
x[1] = -0.7509999999999998 " "
y[1] (analytic) = 2.260126101287162 " "
y[1] (numeric) = 2.2601261012871614 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.964886868910322700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2481324878219169 " "
Order of pole = 0.9055936407125138 " "
x[1] = -0.7499999999999998 " "
y[1] (analytic) = 2.2594822802807535 " "
y[1] (numeric) = 2.259482280280753 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.965446747362329400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2475372642468356 " "
Order of pole = 0.9056728506003608 " "
x[1] = -0.7489999999999998 " "
y[1] (analytic) = 2.258839099274375 " "
y[1] (numeric) = 2.258839099274375 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2469425794365647 " "
Order of pole = 0.905752593009785 " "
x[1] = -0.7479999999999998 " "
y[1] (analytic) = 2.258196558882607 " "
y[1] (numeric) = 2.2581965588826067 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.966565789427140400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2463484306349253 " "
Order of pole = 0.905832797166406 " "
x[1] = -0.7469999999999998 " "
y[1] (analytic) = 2.2575546597203875 " "
y[1] (numeric) = 2.2575546597203875 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.245754815054662 " "
Order of pole = 0.905913391606795 " "
x[1] = -0.7459999999999998 " "
y[1] (analytic) = 2.2569134024030135 " "
y[1] (numeric) = 2.256913402403014 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.967683870268241400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2451617298806497 " "
Order of pole = 0.9059943042427658 " "
x[1] = -0.7449999999999998 " "
y[1] (analytic) = 2.256272787546139 " "
y[1] (numeric) = 2.2562727875461395 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.96824254718349880000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2445691722723047 " "
Order of pole = 0.9060754624098593 " "
x[1] = -0.7439999999999998 " "
y[1] (analytic) = 2.2556328157657717 " "
y[1] (numeric) = 2.255632815765772 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.968800980133361700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2439771393673023 " "
Order of pole = 0.9061567929422125 " "
x[1] = -0.7429999999999998 " "
y[1] (analytic) = 2.2549934876782736 " "
y[1] (numeric) = 2.2549934876782745 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.93871833578813500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2433856282843616 " "
Order of pole = 0.906238222228815 " "
x[1] = -0.7419999999999998 " "
y[1] (analytic) = 2.25435480390036 " "
y[1] (numeric) = 2.2543548039003607 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.93983421847993100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2427946361268745 " "
Order of pole = 0.9063196762868948 " "
x[1] = -0.7409999999999998 " "
y[1] (analytic) = 2.253716765049095 " "
y[1] (numeric) = 2.253716765049096 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.94094960588704300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2422041599854292 " "
Order of pole = 0.9064010808128771 " "
x[1] = -0.7399999999999998 " "
y[1] (analytic) = 2.253079371741895 " "
y[1] (numeric) = 2.253079371741896 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.942064495550633400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2416141969420753 " "
Order of pole = 0.9064823612690791 " "
x[1] = -0.7389999999999998 " "
y[1] (analytic) = 2.2524426245965232 " "
y[1] (numeric) = 2.2524426245965237 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.971589442504053400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.241024744072726 " "
Order of pole = 0.9065634429324074 " "
x[1] = -0.7379999999999998 " "
y[1] (analytic) = 2.251806524231089 " "
y[1] (numeric) = 2.2518065242310894 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.972146385896555200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2404357984511092 " "
Order of pole = 0.9066442509747787 " "
x[1] = -0.7369999999999998 " "
y[1] (analytic) = 2.251171071264048 " "
y[1] (numeric) = 2.2511710712640487 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.945406153435540600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2398473571517883 " "
Order of pole = 0.9067247105246388 " "
x[1] = -0.7359999999999998 " "
y[1] (analytic) = 2.250536266314201 " "
y[1] (numeric) = 2.2505362663142012 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.973259513730771800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.23925941725383 " "
Order of pole = 0.9068047467419582 " "
x[1] = -0.7349999999999998 " "
y[1] (analytic) = 2.2499021100006886 " "
y[1] (numeric) = 2.249902110000689 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.973815695696763700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2386719758438778 " "
Order of pole = 0.9068842848809808 " "
x[1] = -0.7339999999999998 " "
y[1] (analytic) = 2.2492686029429954 " "
y[1] (numeric) = 2.249268602942996 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.974371621375081400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.238085030019986 " "
Order of pole = 0.90696325036871 " "
x[1] = -0.7329999999999998 " "
y[1] (analytic) = 2.2486357457609447 " "
y[1] (numeric) = 2.2486357457609447 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2374985768946227 " "
Order of pole = 0.9070415688666458 " "
x[1] = -0.7319999999999998 " "
y[1] (analytic) = 2.2480035390746966 " "
y[1] (numeric) = 2.248003539074697 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.97548269889670500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2369126135985449 " "
Order of pole = 0.9071191663502134 " "
x[1] = -0.7309999999999998 " "
y[1] (analytic) = 2.2473719835047508 " "
y[1] (numeric) = 2.247371983504751 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.97603784824936100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2363271372841436 " "
Order of pole = 0.9071959691776694 " "
x[1] = -0.7299999999999998 " "
y[1] (analytic) = 2.24674107967194 " "
y[1] (numeric) = 2.2467410796719407 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.95318547266609640000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2357421451285897 " "
Order of pole = 0.9072719041549764 " "
x[1] = -0.7289999999999998 " "
y[1] (analytic) = 2.2461108281974322 " "
y[1] (numeric) = 2.2461108281974327 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.97714736189779580000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2351576343377246 " "
Order of pole = 0.9073468986160478 " "
x[1] = -0.7279999999999998 " "
y[1] (analytic) = 2.2454812297027273 " "
y[1] (numeric) = 2.245481229702728 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.97770172369178180000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2345736021492657 " "
Order of pole = 0.907420880488992 " "
x[1] = -0.7269999999999998 " "
y[1] (analytic) = 2.244852284809656 " "
y[1] (numeric) = 2.2448522848096566 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.97825582046133400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2339900458364674 " "
Order of pole = 0.907493778371947 " "
x[1] = -0.7259999999999998 " "
y[1] (analytic) = 2.2442239941403788 " "
y[1] (numeric) = 2.2442239941403797 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.957619301901861300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2334069627115205 " "
Order of pole = 0.907565521603523 " "
x[1] = -0.7249999999999998 " "
y[1] (analytic) = 2.243596358317384 " "
y[1] (numeric) = 2.243596358317385 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.95872642780641200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2328243501285385 " "
Order of pole = 0.9076360403250145 " "
x[1] = -0.7239999999999998 " "
y[1] (analytic) = 2.2429693779634863 " "
y[1] (numeric) = 2.242969377963487 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.959833016117904600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2322422054879234 " "
Order of pole = 0.9077052655708737 " "
x[1] = -0.7229999999999998 " "
y[1] (analytic) = 2.242343053701825 " "
y[1] (numeric) = 2.2423430537018265 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.94140859647136600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2316605262386622 " "
Order of pole = 0.9077731293170128 " "
x[1] = -0.7219999999999998 " "
y[1] (analytic) = 2.2417173861558646 " "
y[1] (numeric) = 2.2417173861558655 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.962044569869660500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2310793098825865 " "
Order of pole = 0.9078395645692883 " "
x[1] = -0.7209999999999998 " "
y[1] (analytic) = 2.241092375949388 " "
y[1] (numeric) = 2.241092375949389 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.9631495302547204000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2304985539773292 " "
Order of pole = 0.9079045054255772 " "
x[1] = -0.7199999999999998 " "
y[1] (analytic) = 2.2404680237065016 " "
y[1] (numeric) = 2.2404680237065024 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.96425394293632400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2299182561396425 " "
Order of pole = 0.9079678871451975 " "
x[1] = -0.7189999999999998 " "
y[1] (analytic) = 2.239844330051629 " "
y[1] (numeric) = 2.2398443300516298 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.965357805377718300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.229338414048858 " "
Order of pole = 0.9080296462214861 " "
x[1] = -0.7179999999999997 " "
y[1] (analytic) = 2.2392212956095108 " "
y[1] (numeric) = 2.239221295609512 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.94969167255774900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.228759025449745 " "
Order of pole = 0.908089720441966 " "
x[1] = -0.7169999999999997 " "
y[1] (analytic) = 2.238598921005205 " "
y[1] (numeric) = 2.238598921005206 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.967563869374616000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2281800881565335 " "
Order of pole = 0.9081480489725866 " "
x[1] = -0.7159999999999997 " "
y[1] (analytic) = 2.237977206864081 " "
y[1] (numeric) = 2.237977206864082 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.95299909875757900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2276016000546988 " "
Order of pole = 0.9082045723964356 " "
x[1] = -0.7149999999999997 " "
y[1] (analytic) = 2.237356153811823 " "
y[1] (numeric) = 2.2373561538118243 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.95465155281773100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2270235591058005 " "
Order of pole = 0.9082592328145118 " "
x[1] = -0.7139999999999997 " "
y[1] (analytic) = 2.236735762474425 " "
y[1] (numeric) = 2.236735762474426 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.95630316240996400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.226445963348946 " "
Order of pole = 0.9083119738781456 " "
x[1] = -0.7129999999999997 " "
y[1] (analytic) = 2.2361160334781895 " "
y[1] (numeric) = 2.236116033478191 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.95795392369643100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.225868810905121 " "
Order of pole = 0.9083627408796708 " "
x[1] = -0.7119999999999997 " "
y[1] (analytic) = 2.2354969674497287 " "
y[1] (numeric) = 2.2354969674497296 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.97306922188924100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2252920999788817 " "
Order of pole = 0.9084114807894998 " "
x[1] = -0.7109999999999997 " "
y[1] (analytic) = 2.2348785650159586 " "
y[1] (numeric) = 2.2348785650159595 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.97416859064905370000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.224715828862194 " "
Order of pole = 0.9084581423370839 " "
x[1] = -0.7099999999999997 " "
y[1] (analytic) = 2.234260826804101 " "
y[1] (numeric) = 2.234260826804102 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.97526738617433700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2241399959369972 " "
Order of pole = 0.9085026760658685 " "
x[1] = -0.7089999999999997 " "
y[1] (analytic) = 2.2336437534416804 " "
y[1] (numeric) = 2.2336437534416813 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.97636560589210930000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2235645996777904 " "
Order of pole = 0.9085450343888581 " "
x[1] = -0.7079999999999997 " "
y[1] (analytic) = 2.2330273455565215 " "
y[1] (numeric) = 2.2330273455565224 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.97746324722580100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.222989638654328 " "
Order of pole = 0.9085851716462905 " "
x[1] = -0.7069999999999997 " "
y[1] (analytic) = 2.2324116037767494 " "
y[1] (numeric) = 2.2324116037767503 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.978560307595260000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.22241511153448 " "
Order of pole = 0.9086230441670491 " "
x[1] = -0.7059999999999997 " "
y[1] (analytic) = 2.231796528730787 " "
y[1] (numeric) = 2.2317965287307873 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.989828392208380400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.221841017086146 " "
Order of pole = 0.9086586103105212 " "
x[1] = -0.7049999999999997 " "
y[1] (analytic) = 2.2311821210473517 " "
y[1] (numeric) = 2.231182121047352 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.990376337551505000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.221267354181152 " "
Order of pole = 0.9086918305490226 " "
x[1] = -0.7039999999999997 " "
y[1] (analytic) = 2.2305683813554573 " "
y[1] (numeric) = 2.230568381355458 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.9818479770631500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2206941217947758 " "
Order of pole = 0.9087226674614417 " "
x[1] = -0.7029999999999997 " "
y[1] (analytic) = 2.22995531028441 " "
y[1] (numeric) = 2.229955310284411 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.9829426877027700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2201213190117501 " "
Order of pole = 0.9087510858583592 " "
x[1] = -0.7019999999999997 " "
y[1] (analytic) = 2.2293429084638063 " "
y[1] (numeric) = 2.2293429084638072 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.98403680442391160000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2195489450249917 " "
Order of pole = 0.9087770527595982 " "
x[1] = -0.7009999999999997 " "
y[1] (analytic) = 2.2287311765235325 " "
y[1] (numeric) = 2.2287311765235334 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.98513032462507600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.21897699914003 " "
Order of pole = 0.9088005374875348 " "
x[1] = -0.6999999999999997 " "
y[1] (analytic) = 2.228120115093762 " "
y[1] (numeric) = 2.228120115093763 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.986223245701228700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2184054807757712 " "
Order of pole = 0.9088215116859093 " "
x[1] = -0.6989999999999997 " "
y[1] (analytic) = 2.2275097248049547 " "
y[1] (numeric) = 2.227509724804956 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.98097334756571700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.217834389466601 " "
Order of pole = 0.9088399493659782 " "
x[1] = -0.6979999999999997 " "
y[1] (analytic) = 2.226900006287855 " "
y[1] (numeric) = 2.226900006287856 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.98261092006111200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2172637248646978 " "
Order of pole = 0.9088558269568168 " "
x[1] = -0.6969999999999997 " "
y[1] (analytic) = 2.2262909601734884 " "
y[1] (numeric) = 2.2262909601734897 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.9842475821146400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2166934867409032 " "
Order of pole = 0.908869123326344 " "
x[1] = -0.6959999999999997 " "
y[1] (analytic) = 2.225682587093162 " "
y[1] (numeric) = 2.2256825870931634 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.98588332979765700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2161236749866997 " "
Order of pole = 0.9088798198250121 " "
x[1] = -0.6949999999999997 " "
y[1] (analytic) = 2.225074887678462 " "
y[1] (numeric) = 2.2250748876784634 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.98751815917626400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2155542896157736 " "
Order of pole = 0.9088879003207548 " "
x[1] = -0.6939999999999997 " "
y[1] (analytic) = 2.2244678625612515 " "
y[1] (numeric) = 2.224467862561253 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.98915206631133500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2149853307649143 " "
Order of pole = 0.9088933512206925 " "
x[1] = -0.6929999999999997 " "
y[1] (analytic) = 2.2238615123736682 " "
y[1] (numeric) = 2.2238615123736696 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.99078504725851600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2144167986959382 " "
Order of pole = 0.9088961615135549 " "
x[1] = -0.6919999999999997 " "
y[1] (analytic) = 2.2232558377481246 " "
y[1] (numeric) = 2.223255837748126 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.99241709806823500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2138486937958353 " "
Order of pole = 0.9088963227758775 " "
x[1] = -0.6909999999999997 " "
y[1] (analytic) = 2.2226508393173043 " "
y[1] (numeric) = 2.2226508393173057 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 5.99404821478572300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2132810165784702 " "
Order of pole = 0.9088938292099069 " "
x[1] = -0.6899999999999997 " "
y[1] (analytic) = 2.2220465177141615 " "
y[1] (numeric) = 2.2220465177141624 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.99711892896734700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2127137676853248 " "
Order of pole = 0.9088886776618299 " "
x[1] = -0.6889999999999997 " "
y[1] (analytic) = 2.221442873571917 " "
y[1] (numeric) = 2.221442873571918 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.998205086732658500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2121469478859743 " "
Order of pole = 0.9088808676348012 " "
x[1] = -0.6879999999999997 " "
y[1] (analytic) = 2.2208399075240597 " "
y[1] (numeric) = 2.2208399075240606 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 3.99929061383954400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2115805580788166 " "
Order of pole = 0.908870401306622 " "
x[1] = -0.6869999999999997 " "
y[1] (analytic) = 2.2202376202043417 " "
y[1] (numeric) = 2.220237620204343 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.00056326145654400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2110145992916135 " "
Order of pole = 0.9088572835440036 " "
x[1] = -0.6859999999999997 " "
y[1] (analytic) = 2.219636012246779 " "
y[1] (numeric) = 2.2196360122467804 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.00218964821006100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2104490726816914 " "
Order of pole = 0.9088415219096078 " "
x[1] = -0.6849999999999997 " "
y[1] (analytic) = 2.2190350842856477 " "
y[1] (numeric) = 2.219035084285649 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.00381507703413300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.209883979536536 " "
Order of pole = 0.9088231266771309 " "
x[1] = -0.6839999999999997 " "
y[1] (analytic) = 2.2184348369554834 " "
y[1] (numeric) = 2.218434836955484 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.00181318131263200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.20931932127313 " "
Order of pole = 0.9088021108205222 " "
x[1] = -0.6829999999999997 " "
y[1] (analytic) = 2.2178352708910762 " "
y[1] (numeric) = 2.217835270891077 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.004708696616927600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2087550994387715 " "
Order of pole = 0.9087784900336455 " "
x[1] = -0.6819999999999997 " "
y[1] (analytic) = 2.2172363867274756 " "
y[1] (numeric) = 2.2172363867274765 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.005790383997034400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2081913157101187 " "
Order of pole = 0.9087522827133085 " "
x[1] = -0.6809999999999997 " "
y[1] (analytic) = 2.2166381850999817 " "
y[1] (numeric) = 2.2166381850999826 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.00687142209482370000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2076279718934404 " "
Order of pole = 0.9087235099671549 " "
x[1] = -0.6799999999999997 " "
y[1] (analytic) = 2.216040666644146 " "
y[1] (numeric) = 2.2160406666441474 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.01192771235422800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.207065069923861 " "
Order of pole = 0.9086921956007732 " "
x[1] = -0.6789999999999997 " "
y[1] (analytic) = 2.2154438319957714 " "
y[1] (numeric) = 2.2154438319957728 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.01354730961525400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.206502611864797 " "
Order of pole = 0.9086583661085896 " "
x[1] = -0.6779999999999997 " "
y[1] (analytic) = 2.214847681790906 " "
y[1] (numeric) = 2.2148476817909075 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.01516592090399800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2059405999071358 " "
Order of pole = 0.9086220506594032 " "
x[1] = -0.6769999999999997 " "
y[1] (analytic) = 2.214252216665846 " "
y[1] (numeric) = 2.214252216665847 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.01678354219410600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2053790363687755 " "
Order of pole = 0.9085832810895038 " "
x[1] = -0.6759999999999997 " "
y[1] (analytic) = 2.213657437257129 " "
y[1] (numeric) = 2.21365743725713 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.0122667796361400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2048179236932333 " "
Order of pole = 0.9085420918760949 " "
x[1] = -0.6749999999999997 " "
y[1] (analytic) = 2.2130633442015366 " "
y[1] (numeric) = 2.213063344201537 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.006671932882644300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2042572644483933 " "
Order of pole = 0.9084985201139588 " "
x[1] = -0.6739999999999997 " "
y[1] (analytic) = 2.2124699381360875 " "
y[1] (numeric) = 2.2124699381360884 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.01442028382260400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2036970613256806 " "
Order of pole = 0.9084526055004023 " "
x[1] = -0.6729999999999997 " "
y[1] (analytic) = 2.211877219698042 " "
y[1] (numeric) = 2.2118772196980423 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.007748015555258500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.203137317138095 " "
Order of pole = 0.9084043902969441 " "
x[1] = -0.6719999999999997 " "
y[1] (analytic) = 2.211285189524892 " "
y[1] (numeric) = 2.2112851895248933 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.02485665739222700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2025780348192678 " "
Order of pole = 0.908353919311736 " "
x[1] = -0.6709999999999997 " "
y[1] (analytic) = 2.210693848254368 " "
y[1] (numeric) = 2.210693848254369 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.01764550257132300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2020192174210904 " "
Order of pole = 0.9083012398525803 " "
x[1] = -0.6699999999999997 " "
y[1] (analytic) = 2.2101031965244293 " "
y[1] (numeric) = 2.21010319652443 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.01871922133255800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2014608681125591 " "
Order of pole = 0.9082464017048366 " "
x[1] = -0.6689999999999997 " "
y[1] (analytic) = 2.2095132349732656 " "
y[1] (numeric) = 2.2095132349732665 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.01979225850109900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2009029901772215 " "
Order of pole = 0.9081894570804128 " "
x[1] = -0.6679999999999997 " "
y[1] (analytic) = 2.2089239642392955 " "
y[1] (numeric) = 2.2089239642392964 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.020864611362909300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.2003455870113853 " "
Order of pole = 0.9081304605823579 " "
x[1] = -0.6669999999999997 " "
y[1] (analytic) = 2.2083353849611624 " "
y[1] (numeric) = 2.2083353849611633 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.02193627720069100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1997886621219869 " "
Order of pole = 0.9080694691622497 " "
x[1] = -0.6659999999999997 " "
y[1] (analytic) = 2.2077474977777354 " "
y[1] (numeric) = 2.207747497777736 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.01150362664694220000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1992322191239093 " "
Order of pole = 0.908006542066234 " "
x[1] = -0.6649999999999997 " "
y[1] (analytic) = 2.2071603033281026 " "
y[1] (numeric) = 2.2071603033281035 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.024077536918686500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1986762617376645 " "
Order of pole = 0.9079417407882193 " "
x[1] = -0.6639999999999997 " "
y[1] (analytic) = 2.206573802251575 " "
y[1] (numeric) = 2.206573802251576 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.02514712534805400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1981207937869294 " "
Order of pole = 0.9078751290202192 " "
x[1] = -0.6629999999999997 " "
y[1] (analytic) = 2.20598799518768 " "
y[1] (numeric) = 2.2059879951876806 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.01310800792585700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1975658191954193 " "
Order of pole = 0.9078067725885219 " "
x[1] = -0.6619999999999997 " "
y[1] (analytic) = 2.2054028827761605 " "
y[1] (numeric) = 2.205402882776161 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.013642102848089100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1970113419843533 " "
Order of pole = 0.9077367394023099 " "
x[1] = -0.6609999999999997 " "
y[1] (analytic) = 2.2048184656569734 " "
y[1] (numeric) = 2.204818465656974 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.01417584607237330000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1964573662693403 " "
Order of pole = 0.9076650993898419 " "
x[1] = -0.6599999999999997 " "
y[1] (analytic) = 2.204234744470287 " "
y[1] (numeric) = 2.2042347444702877 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.01470923622875900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1959038962572495 " "
Order of pole = 0.9075919244343229 " "
x[1] = -0.6589999999999997 " "
y[1] (analytic) = 2.2036517198564796 " "
y[1] (numeric) = 2.20365171985648 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.015242271945702500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1953509362430133 " "
Order of pole = 0.9075172883082914 " "
x[1] = -0.6579999999999997 " "
y[1] (analytic) = 2.2030693924561366 " "
y[1] (numeric) = 2.2030693924561366 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1947984906062505 " "
Order of pole = 0.907441266603989 " "
x[1] = -0.6569999999999997 " "
y[1] (analytic) = 2.2024877629100477 " "
y[1] (numeric) = 2.202487762910048 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.01630727456713600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1942465638078534 " "
Order of pole = 0.907363936662847 " "
x[1] = -0.6559999999999997 " "
y[1] (analytic) = 2.2019068318592074 " "
y[1] (numeric) = 2.201906831859208 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.016839238720606300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1936951603864292 " "
Order of pole = 0.9072853775018928 " "
x[1] = -0.6549999999999997 " "
y[1] (analytic) = 2.201326599944811 " "
y[1] (numeric) = 2.201326599944811 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1931442849545713 " "
Order of pole = 0.907205669736447 " "
x[1] = -0.6539999999999997 " "
y[1] (analytic) = 2.200747067808251 " "
y[1] (numeric) = 2.2007470678082512 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.01790208582368400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1925939421951308 " "
Order of pole = 0.9071248955025375 " "
x[1] = -0.6529999999999997 " "
y[1] (analytic) = 2.2001682360911183 " "
y[1] (numeric) = 2.200168236091119 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.018432966012836000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1920441368573818 " "
Order of pole = 0.9070431383771709 " "
x[1] = -0.6519999999999997 " "
y[1] (analytic) = 2.199590105435198 " "
y[1] (numeric) = 2.1995901054351985 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.018963482117490700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1914948737529318 " "
Order of pole = 0.9069604832929326 " "
x[1] = -0.6509999999999997 " "
y[1] (analytic) = 2.1990126764824676 " "
y[1] (numeric) = 2.199012676482468 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.01949363275352300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1909461577517861 " "
Order of pole = 0.9068770164557698 " "
x[1] = -0.6499999999999997 " "
y[1] (analytic) = 2.198435949875095 " "
y[1] (numeric) = 2.198435949875095 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1903979937782085 " "
Order of pole = 0.9067928252582895 " "
x[1] = -0.6489999999999997 " "
y[1] (analytic) = 2.1978599262554352 " "
y[1] (numeric) = 2.1978599262554352 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1898503868063597 " "
Order of pole = 0.906707998188379 " "
x[1] = -0.6479999999999997 " "
y[1] (analytic) = 2.1972846062660305 " "
y[1] (numeric) = 2.1972846062660305 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1893033418561187 " "
Order of pole = 0.9066226247413685 " "
x[1] = -0.6469999999999997 " "
y[1] (analytic) = 2.1967099905496053 " "
y[1] (numeric) = 2.1967099905496057 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.021610552874819000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1887568639886783 " "
Order of pole = 0.9065367953272556 " "
x[1] = -0.6459999999999997 " "
y[1] (analytic) = 2.196136079749067 " "
y[1] (numeric) = 2.1961360797490674 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.022138855351826600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1882109583019413 " "
Order of pole = 0.9064506011739013 " "
x[1] = -0.6449999999999997 " "
y[1] (analytic) = 2.1955628745075013 " "
y[1] (numeric) = 2.1955628745075018 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.022666784023111600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1876656299262471 " "
Order of pole = 0.9063641342366608 " "
x[1] = -0.6439999999999997 " "
y[1] (analytic) = 2.194990375468172 " "
y[1] (numeric) = 2.194990375468172 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1871208840195253 " "
Order of pole = 0.9062774870959611 " "
x[1] = -0.6429999999999997 " "
y[1] (analytic) = 2.194418583274515 " "
y[1] (numeric) = 2.194418583274515 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1865767257628574 " "
Order of pole = 0.9061907528634201 " "
x[1] = -0.6419999999999997 " "
y[1] (analytic) = 2.1938474985701415 " "
y[1] (numeric) = 2.193847498570142 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.024248313246483600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1860331603556211 " "
Order of pole = 0.9061040250787471 " "
x[1] = -0.6409999999999997 " "
y[1] (analytic) = 2.193277121998832 " "
y[1] (numeric) = 2.1932771219988325 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.024774732731193200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1854901930108435 " "
Order of pole = 0.906017397611194 " "
x[1] = -0.6399999999999997 " "
y[1] (analytic) = 2.1927074542045344 " "
y[1] (numeric) = 2.192707454204535 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.025300771420820200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1849478289503554 " "
Order of pole = 0.9059309645564699 " "
x[1] = -0.6389999999999997 " "
y[1] (analytic) = 2.1921384958313626 " "
y[1] (numeric) = 2.192138495831363 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.02582642791300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.18440607339998 " "
Order of pole = 0.9058448201343001 " "
x[1] = -0.6379999999999997 " "
y[1] (analytic) = 2.1915702475235945 " "
y[1] (numeric) = 2.1915702475235945 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1838649315846834 " "
Order of pole = 0.9057590585849837 " "
x[1] = -0.6369999999999997 " "
y[1] (analytic) = 2.1910027099256677 " "
y[1] (numeric) = 2.191002709925668 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.026876588688148500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1833244087236099 " "
Order of pole = 0.9056737740634002 " "
x[1] = -0.6359999999999997 " "
y[1] (analytic) = 2.1904358836821802 " "
y[1] (numeric) = 2.1904358836821807 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.027401090158991700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1827845100252403 " "
Order of pole = 0.9055890605354229 " "
x[1] = -0.6349999999999997 " "
y[1] (analytic) = 2.1898697694378852 " "
y[1] (numeric) = 2.1898697694378857 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.027925203808148300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.182245240682491 " "
Order of pole = 0.9055050116730534 " "
x[1] = -0.6339999999999997 " "
y[1] (analytic) = 2.1893043678376904 " "
y[1] (numeric) = 2.1893043678376913 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.05689785645178300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1817066058675987 " "
Order of pole = 0.9054217207445774 " "
x[1] = -0.6329999999999997 " "
y[1] (analytic) = 2.1887396795266563 " "
y[1] (numeric) = 2.1887396795266567 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.028972262001037500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1811686107273787 " "
Order of pole = 0.9053392805129601 " "
x[1] = -0.6319999999999997 " "
y[1] (analytic) = 2.18817570514999 " "
y[1] (numeric) = 2.188175705149991 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.058990407441912500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1806312603781415 " "
Order of pole = 0.905257783126272 " "
x[1] = -0.6309999999999997 " "
y[1] (analytic) = 2.1876124453530497 " "
y[1] (numeric) = 2.18761244535305 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.030017751971569500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1800945599007682 " "
Order of pole = 0.905177320011795 " "
x[1] = -0.6299999999999997 " "
y[1] (analytic) = 2.187049900781334 " "
y[1] (numeric) = 2.187049900781335 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.061079810674732600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1795585143357366 " "
Order of pole = 0.9050979817687548 " "
x[1] = -0.6289999999999997 " "
y[1] (analytic) = 2.1864880720804876 " "
y[1] (numeric) = 2.186488072080488 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.031061662401399700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1790231286783093 " "
Order of pole = 0.905019858064346 " "
x[1] = -0.6279999999999997 " "
y[1] (analytic) = 2.1859269598962916 " "
y[1] (numeric) = 2.1859269598962925 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.063166043490601000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1784884078735525 " "
Order of pole = 0.904943037526019 " "
x[1] = -0.6269999999999997 " "
y[1] (analytic) = 2.185366564874668 " "
y[1] (numeric) = 2.185366564874669 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.06420796389855400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1779543568113748 " "
Order of pole = 0.9048676076340172 " "
x[1] = -0.6259999999999997 " "
y[1] (analytic) = 2.1848068876616726 " "
y[1] (numeric) = 2.184806887661673 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.032624541592125700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1774209803219235 " "
Order of pole = 0.9047936546215798 " "
x[1] = -0.6249999999999997 " "
y[1] (analytic) = 2.184247928903493 " "
y[1] (numeric) = 2.184247928903493 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1768882831705092 " "
Order of pole = 0.9047212633646442 " "
x[1] = -0.6239999999999997 " "
y[1] (analytic) = 2.1836896892464464 " "
y[1] (numeric) = 2.183689689246447 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.03366445350259520000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.176356270053082 " "
Order of pole = 0.9046505172834003 " "
x[1] = -0.6229999999999997 " "
y[1] (analytic) = 2.183132169336981 " "
y[1] (numeric) = 2.1831321693369814 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.034183802920795600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1758249455913106 " "
Order of pole = 0.9045814982351228 " "
x[1] = -0.6219999999999997 " "
y[1] (analytic) = 2.182575369821668 " "
y[1] (numeric) = 2.1825753698216683 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.03470274607904100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1752943143281485 " "
Order of pole = 0.9045142864173936 " "
x[1] = -0.6209999999999997 " "
y[1] (analytic) = 2.182019291347202 " "
y[1] (numeric) = 2.1820192913472023 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.035221281549152700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1747643807229986 " "
Order of pole = 0.9044489602623944 " "
x[1] = -0.6199999999999997 " "
y[1] (analytic) = 2.1814639345603974 " "
y[1] (numeric) = 2.181463934560398 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.03573940790157610000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.174235149147497 " "
Order of pole = 0.9043855963446781 " "
x[1] = -0.6189999999999997 " "
y[1] (analytic) = 2.1809093001081883 " "
y[1] (numeric) = 2.1809093001081887 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.036257123705386100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1737066238807405 " "
Order of pole = 0.9043242692763886 " "
x[1] = -0.6179999999999997 " "
y[1] (analytic) = 2.1803553886376226 " "
y[1] (numeric) = 2.180355388637623 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.036774427528294800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1731788091052278 " "
Order of pole = 0.9042650516181094 " "
x[1] = -0.6169999999999997 " "
y[1] (analytic) = 2.179802200795862 " "
y[1] (numeric) = 2.179802200795862 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1726517089022357 " "
Order of pole = 0.9042080137772608 " "
x[1] = -0.6159999999999997 " "
y[1] (analytic) = 2.179249737230178 " "
y[1] (numeric) = 2.1792497372301782 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.037807793495476600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1721253272479626 " "
Order of pole = 0.9041532239227958 " "
x[1] = -0.6149999999999997 " "
y[1] (analytic) = 2.178697998587951 " "
y[1] (numeric) = 2.1786979985879515 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.038323852768414400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1715996680092102 " "
Order of pole = 0.9041007478900678 " "
x[1] = -0.6139999999999997 " "
y[1] (analytic) = 2.178146985516667 " "
y[1] (numeric) = 2.178146985516667 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1710747349395563 " "
Order of pole = 0.9040506490959181 " "
x[1] = -0.6129999999999997 " "
y[1] (analytic) = 2.1775966986639124 " "
y[1] (numeric) = 2.177596698663913 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.03935471670460500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1705505316751792 " "
Order of pole = 0.9040029884461429 " "
x[1] = -0.6119999999999997 " "
y[1] (analytic) = 2.177047138677377 " "
y[1] (numeric) = 2.1770471386773775 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.039869518488517700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1700270617315058 " "
Order of pole = 0.9039578242609689 " "
x[1] = -0.6109999999999997 " "
y[1] (analytic) = 2.1764983062048473 " "
y[1] (numeric) = 2.1764983062048477 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.040383898227880700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1695043284992175 " "
Order of pole = 0.9039152121859431 " "
x[1] = -0.6099999999999997 " "
y[1] (analytic) = 2.175950201894204 " "
y[1] (numeric) = 2.1759502018942047 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.08179570895946900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1689823352407294 " "
Order of pole = 0.9038752051134988 " "
x[1] = -0.6089999999999997 " "
y[1] (analytic) = 2.1754028263934218 " "
y[1] (numeric) = 2.1754028263934226 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.08282277159962700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1684610850870383 " "
Order of pole = 0.9038378531120763 " "
x[1] = -0.6079999999999997 " "
y[1] (analytic) = 2.174856180350565 " "
y[1] (numeric) = 2.1748561803505657 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.08384898148511100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1679405810342487 " "
Order of pole = 0.9038032033482644 " "
x[1] = -0.6069999999999997 " "
y[1] (analytic) = 2.174310264413785 " "
y[1] (numeric) = 2.1743102644137857 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.084874335722214500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1674208259404784 " "
Order of pole = 0.9037713000170484 " "
x[1] = -0.6059999999999997 " "
y[1] (analytic) = 2.173765079231319 " "
y[1] (numeric) = 2.1737650792313192 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.042949415707332700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.166901822522807 " "
Order of pole = 0.9037421842728559 " "
x[1] = -0.6049999999999996 " "
y[1] (analytic) = 2.173220625451484 " "
y[1] (numeric) = 2.1732206254514845 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.04346123283181890000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1663835733545829 " "
Order of pole = 0.9037158941683554 " "
x[1] = -0.6039999999999996 " "
y[1] (analytic) = 2.17267690372268 " "
y[1] (numeric) = 2.1726769037226803 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.043972617783882400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1658660808626844 " "
Order of pole = 0.9036924645921065 " "
x[1] = -0.6029999999999996 " "
y[1] (analytic) = 2.172133914693381 " "
y[1] (numeric) = 2.1721339146933816 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.044483569111577300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1653493473247734 " "
Order of pole = 0.903671927205906 " "
x[1] = -0.6019999999999996 " "
y[1] (analytic) = 2.1715916590121376 " "
y[1] (numeric) = 2.171591659012138 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.044994085361701600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.16483337486736 " "
Order of pole = 0.903654310399876 " "
x[1] = -0.6009999999999996 " "
y[1] (analytic) = 2.171050137327571 " "
y[1] (numeric) = 2.171050137327571 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1643181654630774 " "
Order of pole = 0.9036396392299206 " "
x[1] = -0.5999999999999996 " "
y[1] (analytic) = 2.17050935028837 " "
y[1] (numeric) = 2.1705093502883703 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.04601380681019300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1638037209291203 " "
Order of pole = 0.9036279353809888 " "
x[1] = -0.5989999999999996 " "
y[1] (analytic) = 2.1699692985432923 " "
y[1] (numeric) = 2.169969298543293 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.046523009095940500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1632900429249753 " "
Order of pole = 0.9036192171141746 " "
x[1] = -0.5979999999999996 " "
y[1] (analytic) = 2.169429982741158 " "
y[1] (numeric) = 2.1694299827411583 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.047031770478893000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1627771329510386 " "
Order of pole = 0.9036134992336429 " "
x[1] = -0.5969999999999996 " "
y[1] (analytic) = 2.1688914035308473 " "
y[1] (numeric) = 2.1688914035308478 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.047540089499674800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1622649923470634 " "
Order of pole = 0.9036107930494683 " "
x[1] = -0.5959999999999996 " "
y[1] (analytic) = 2.1683535615612994 " "
y[1] (numeric) = 2.1683535615613003 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.09609592939539800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1617536222905664 " "
Order of pole = 0.903611106339639 " "
x[1] = -0.5949999999999996 " "
y[1] (analytic) = 2.1678164574815098 " "
y[1] (numeric) = 2.1678164574815106 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.09711078922234300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.161243023795971 " "
Order of pole = 0.9036144433279727 " "
x[1] = -0.5939999999999996 " "
y[1] (analytic) = 2.167280091940525 " "
y[1] (numeric) = 2.167280091940526 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.14718713333130300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1607331977135242 " "
Order of pole = 0.9036208046572156 " "
x[1] = -0.5929999999999996 " "
y[1] (analytic) = 2.1667444655874433 " "
y[1] (numeric) = 2.166744465587444 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.099137825462607600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1602241447287385 " "
Order of pole = 0.9036301873734267 " "
x[1] = -0.5919999999999996 " "
y[1] (analytic) = 2.166209579071408 " "
y[1] (numeric) = 2.1662095790714093 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.15022499402524500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1597158653615367 " "
Order of pole = 0.9036425849038832 " "
x[1] = -0.5909999999999996 " "
y[1] (analytic) = 2.1656754330416095 " "
y[1] (numeric) = 2.165675433041611 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.15174189642567200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1592083599659888 " "
Order of pole = 0.9036579870478256 " "
x[1] = -0.5899999999999996 " "
y[1] (analytic) = 2.165142028147278 " "
y[1] (numeric) = 2.1651420281472795 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.1532574409920590000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.158701628730162 " "
Order of pole = 0.903676379969788 " "
x[1] = -0.5889999999999996 " "
y[1] (analytic) = 2.164609365037684 " "
y[1] (numeric) = 2.1646093650376854 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.1547716233177900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1581956716763298 " "
Order of pole = 0.9036977462006455 " "
x[1] = -0.5879999999999996 " "
y[1] (analytic) = 2.164077444362133 " "
y[1] (numeric) = 2.1640774443621345 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.15628443899278700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1576904886609671 " "
Order of pole = 0.9037220646340547 " "
x[1] = -0.5869999999999996 " "
y[1] (analytic) = 2.1635462667699645 " "
y[1] (numeric) = 2.163546266769966 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.15779588360353300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1571860793752864 " "
Order of pole = 0.9037493105345877 " "
x[1] = -0.5859999999999996 " "
y[1] (analytic) = 2.163015832910548 " "
y[1] (numeric) = 2.1630158329105496 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.15930595273309700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1566824433457683 " "
Order of pole = 0.9037794555459335 " "
x[1] = -0.5849999999999996 " "
y[1] (analytic) = 2.1624861434332816 " "
y[1] (numeric) = 2.1624861434332834 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.21441952261487800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.156179579935034 " "
Order of pole = 0.9038124677064605 " "
x[1] = -0.5839999999999996 " "
y[1] (analytic) = 2.161957198987588 " "
y[1] (numeric) = 2.1619571989875896 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.21642926248536200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1556774883431167 " "
Order of pole = 0.903848311473558 " "
x[1] = -0.5829999999999996 " "
y[1] (analytic) = 2.161429000222911 " "
y[1] (numeric) = 2.161429000222913 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.21843715068620100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1551761676087122 " "
Order of pole = 0.9038869477476812 " "
x[1] = -0.5819999999999996 " "
y[1] (analytic) = 2.1609015477887157 " "
y[1] (numeric) = 2.160901547788717 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.16533238598268400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1546756166101355 " "
Order of pole = 0.9039283338896773 " "
x[1] = -0.5809999999999996 " "
y[1] (analytic) = 2.1603748423344813 " "
y[1] (numeric) = 2.1603748423344826 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.16683551133446600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1541758340677277 " "
Order of pole = 0.9039724237703108 " "
x[1] = -0.5799999999999996 " "
y[1] (analytic) = 2.1598488845097013 " "
y[1] (numeric) = 2.159848884509703 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.22444964617741700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1536768185450796 " "
Order of pole = 0.9040191677935745 " "
x[1] = -0.5789999999999996 " "
y[1] (analytic) = 2.159323674963881 " "
y[1] (numeric) = 2.1593236749638822 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.16983755143828900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1531785684517495 " "
Order of pole = 0.9040685129531276 " "
x[1] = -0.5779999999999996 " "
y[1] (analytic) = 2.1587992143465313 " "
y[1] (numeric) = 2.1587992143465327 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.17133645730673200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.152681082044663 " "
Order of pole = 0.9041204028593945 " "
x[1] = -0.5769999999999996 " "
y[1] (analytic) = 2.1582755033071694 " "
y[1] (numeric) = 2.1582755033071708 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.17283394779177700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1521843574318151 " "
Order of pole = 0.9041747778180085 " "
x[1] = -0.5759999999999996 " "
y[1] (analytic) = 2.1577525424953135 " "
y[1] (numeric) = 2.1577525424953152 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.23244002459150600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1516883925742587 " "
Order of pole = 0.9042315748701881 " "
x[1] = -0.5749999999999996 " "
y[1] (analytic) = 2.1572303325604825 " "
y[1] (numeric) = 2.157230332560484 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.17582466480933700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.151193185288414 " "
Order of pole = 0.9042907278397276 " "
x[1] = -0.5739999999999996 " "
y[1] (analytic) = 2.1567088741521885 " "
y[1] (numeric) = 2.1567088741521903 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.23642384324376600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.150698733250391 " "
Order of pole = 0.9043521674258201 " "
x[1] = -0.5729999999999996 " "
y[1] (analytic) = 2.1561881679199395 " "
y[1] (numeric) = 2.156188167919941 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.178809666854900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1502050339984395 " "
Order of pole = 0.9044158212532913 " "
x[1] = -0.5719999999999996 " "
y[1] (analytic) = 2.155668214513231 " "
y[1] (numeric) = 2.155668214513233 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.24040001815106500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1497120849369924 " "
Order of pole = 0.9044816139589233 " "
x[1] = -0.5709999999999996 " "
y[1] (analytic) = 2.155149014581549 " "
y[1] (numeric) = 2.1551490145815504 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.18178891824269300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1492198833397322 " "
Order of pole = 0.9045494672557943 " "
x[1] = -0.5699999999999996 " "
y[1] (analytic) = 2.1546305687743605 " "
y[1] (numeric) = 2.154630568774362 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.18327637627472400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1487284263539888 " "
Order of pole = 0.9046193000275711 " "
x[1] = -0.5689999999999996 " "
y[1] (analytic) = 2.1541128777411154 " "
y[1] (numeric) = 2.1541128777411167 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.18476238323803300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1482377110044442 " "
Order of pole = 0.9046910284070986 " "
x[1] = -0.5679999999999996 " "
y[1] (analytic) = 2.153595942131241 " "
y[1] (numeric) = 2.153595942131243 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.24832924621102600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1477477341974975 " "
Order of pole = 0.9047645658702539 " "
x[1] = -0.5669999999999996 " "
y[1] (analytic) = 2.1530797625941416 " "
y[1] (numeric) = 2.1530797625941434 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.25030670141083900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1472584927256422 " "
Order of pole = 0.9048398233296933 " "
x[1] = -0.5659999999999996 " "
y[1] (analytic) = 2.1525643397791914 " "
y[1] (numeric) = 2.152564339779193 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.25228220394317200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1467699832722684 " "
Order of pole = 0.9049167092384423 " "
x[1] = -0.5649999999999996 " "
y[1] (analytic) = 2.152049674335735 " "
y[1] (numeric) = 2.152049674335737 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.25425574783050300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1462822024158814 " "
Order of pole = 0.9049951296805592 " "
x[1] = -0.5639999999999996 " "
y[1] (analytic) = 2.1515357669130837 " "
y[1] (numeric) = 2.151535766913085 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.19217049531860200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.14579514663559 " "
Order of pole = 0.9050749884900302 " "
x[1] = -0.5629999999999996 " "
y[1] (analytic) = 2.15102261816051 " "
y[1] (numeric) = 2.151022618160512 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.25819693574090500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1453088123157298 " "
Order of pole = 0.9051561873508138 " "
x[1] = -0.5619999999999996 " "
y[1] (analytic) = 2.1505102287272493 " "
y[1] (numeric) = 2.1505102287272506 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.195123425842400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1448231957514299 " "
Order of pole = 0.9052386259177378 " "
x[1] = -0.5609999999999996 " "
y[1] (analytic) = 2.1499985992624913 " "
y[1] (numeric) = 2.1499985992624926 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.19659766293425700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1443382931537276 " "
Order of pole = 0.9053222019276088 " "
x[1] = -0.5599999999999996 " "
y[1] (analytic) = 2.1494877304153808 " "
y[1] (numeric) = 2.1494877304153825 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.26409387811195200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1438541006552077 " "
Order of pole = 0.9054068113221962 " "
x[1] = -0.5589999999999996 " "
y[1] (analytic) = 2.148977622835014 " "
y[1] (numeric) = 2.148977622835016 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.26605554438864700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1433706143156501 " "
Order of pole = 0.9054923483714195 " "
x[1] = -0.5579999999999996 " "
y[1] (analytic) = 2.1484682771704344 " "
y[1] (numeric) = 2.148468277170436 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.26801521007207800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1428878301277028 " "
Order of pole = 0.9055787057974101 " "
x[1] = -0.5569999999999996 " "
y[1] (analytic) = 2.1479596940706296 " "
y[1] (numeric) = 2.1479596940706314 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.26997286915496600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1424057440228261 " "
Order of pole = 0.9056657749045947 " "
x[1] = -0.5559999999999996 " "
y[1] (analytic) = 2.1474518741845294 " "
y[1] (numeric) = 2.147451874184531 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.27192851562646400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.141924351877532 " "
Order of pole = 0.9057534457167513 " "
x[1] = -0.5549999999999996 " "
y[1] (analytic) = 2.1469448181610025 " "
y[1] (numeric) = 2.146944818161004 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.20541160760415700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1414436495189466 " "
Order of pole = 0.9058416070989512 " "
x[1] = -0.5539999999999996 " "
y[1] (analytic) = 2.146438526648851 " "
y[1] (numeric) = 2.1464385266488524 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.20687531000575300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1409636327319257 " "
Order of pole = 0.9059301469143737 " "
x[1] = -0.5529999999999996 " "
y[1] (analytic) = 2.145933000296811 " "
y[1] (numeric) = 2.1459330002968127 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.27778331921153600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.140484297264387 " "
Order of pole = 0.9060189521417286 " "
x[1] = -0.5519999999999996 " "
y[1] (analytic) = 2.1454282397535467 " "
y[1] (numeric) = 2.145428239753549 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.03496635688238340000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1400056388343085 " "
Order of pole = 0.9061079090296325 " "
x[1] = -0.5509999999999996 " "
y[1] (analytic) = 2.1449242456676494 " "
y[1] (numeric) = 2.144924245667651 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.28167634818881300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.139527653136229 " "
Order of pole = 0.9061969032404118 " "
x[1] = -0.5499999999999996 " "
y[1] (analytic) = 2.144421018687631 " "
y[1] (numeric) = 2.1444210186876327 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.28361979256931100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1390503358476738 " "
Order of pole = 0.9062858199922896 " "
x[1] = -0.5489999999999996 " "
y[1] (analytic) = 2.1439185594619237 " "
y[1] (numeric) = 2.143918559461926 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.03569514777072320000000000000E-13 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1385736826354431 " "
Order of pole = 0.906374544198842 " "
x[1] = -0.5479999999999996 " "
y[1] (analytic) = 2.1434168686388775 " "
y[1] (numeric) = 2.1434168686388793 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.28750051094018300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1380976891631436 " "
Order of pole = 0.9064629606360288 " "
x[1] = -0.5469999999999996 " "
y[1] (analytic) = 2.1429159468667534 " "
y[1] (numeric) = 2.1429159468667547 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.21707832963841600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1376223510969998 " "
Order of pole = 0.906550954071685 " "
x[1] = -0.5459999999999996 " "
y[1] (analytic) = 2.1424157947937226 " "
y[1] (numeric) = 2.142415794793724 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.2185297213908100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1371476641132436 " "
Order of pole = 0.9066384094296929 " "
x[1] = -0.5449999999999996 " "
y[1] (analytic) = 2.1419164130678636 " "
y[1] (numeric) = 2.1419164130678654 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.29330607190211100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1366736239045179 " "
Order of pole = 0.9067252119330007 " "
x[1] = -0.5439999999999996 " "
y[1] (analytic) = 2.141417802337159 " "
y[1] (numeric) = 2.1414178023371604 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.22142782270765400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1362002261869746 " "
Order of pole = 0.906811247261933 " "
x[1] = -0.5429999999999996 " "
y[1] (analytic) = 2.1409199632494893 " "
y[1] (numeric) = 2.140919963249491 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.29716603092483300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1357274667070005 " "
Order of pole = 0.9068964017046532 " "
x[1] = -0.5419999999999996 " "
y[1] (analytic) = 2.140422896452634 " "
y[1] (numeric) = 2.1404228964526357 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.29909286778908300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1352553412478703 " "
Order of pole = 0.9069805623060123 " "
x[1] = -0.5409999999999996 " "
y[1] (analytic) = 2.139926602594266 " "
y[1] (numeric) = 2.139926602594267 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.15050880073817850000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1347838456368842 " "
Order of pole = 0.9070636170276423 " "
x[1] = -0.5399999999999996 " "
y[1] (analytic) = 2.1394310823219467 " "
y[1] (numeric) = 2.1394310823219476 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.15147011296188140000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.134312975751873 " "
Order of pole = 0.9071454548939659 " "
x[1] = -0.5389999999999996 " "
y[1] (analytic) = 2.1389363362831264 " "
y[1] (numeric) = 2.1389363362831273 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.152430367532729500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1338427275282517 " "
Order of pole = 0.9072259661507402 " "
x[1] = -0.5379999999999996 " "
y[1] (analytic) = 2.138442365125139 " "
y[1] (numeric) = 2.13844236512514 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.15338956141635400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1333730969655305 " "
Order of pole = 0.9073050424116857 " "
x[1] = -0.5369999999999996 " "
y[1] (analytic) = 2.1379491694951986 " "
y[1] (numeric) = 2.137949169495199 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.077173845788479000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1329040801340289 " "
Order of pole = 0.9073825768098889 " "
x[1] = -0.5359999999999996 " "
y[1] (analytic) = 2.1374567500403963 " "
y[1] (numeric) = 2.1374567500403967 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.07765237748866600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1324356731817489 " "
Order of pole = 0.9074584641528727 " "
x[1] = -0.5349999999999996 " "
y[1] (analytic) = 2.1369651074076965 " "
y[1] (numeric) = 2.1369651074076974 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.15626074857887660000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1319678723407365 " "
Order of pole = 0.9075326010665972 " "
x[1] = -0.5339999999999996 " "
y[1] (analytic) = 2.1364742422439362 " "
y[1] (numeric) = 2.1364742422439367 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.078607834670809200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.131500673933639 " "
Order of pole = 0.9076048861438348 " "
x[1] = -0.5329999999999996 " "
y[1] (analytic) = 2.135984155195817 " "
y[1] (numeric) = 2.1359841551958176 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.07908475711211680000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1310340743801202 " "
Order of pole = 0.9076752200897253 " "
x[1] = -0.5319999999999996 " "
y[1] (analytic) = 2.135494846909906 " "
y[1] (numeric) = 2.1354948469099067 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.07956114009203300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1305680702032523 " "
Order of pole = 0.907743505866998 " "
x[1] = -0.5309999999999996 " "
y[1] (analytic) = 2.13500631803263 " "
y[1] (numeric) = 2.135006318032631 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.16007396417714400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.130102658035725 " "
Order of pole = 0.9078096488371532 " "
x[1] = -0.5299999999999996 " "
y[1] (analytic) = 2.134518569210274 " "
y[1] (numeric) = 2.134518569210275 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.161024563158202700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.129637834625882 " "
Order of pole = 0.9078735568981511 " "
x[1] = -0.5289999999999996 " "
y[1] (analytic) = 2.134031601088975 " "
y[1] (numeric) = 2.1340316010889753 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.08098703704035300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.129173596843803 " "
Order of pole = 0.9079351406231471 " "
x[1] = -0.5279999999999996 " "
y[1] (analytic) = 2.13354541431472 " "
y[1] (numeric) = 2.133545414314721 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.162922493896863400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1287099416872175 " "
Order of pole = 0.9079943133957844 " "
x[1] = -0.5269999999999996 " "
y[1] (analytic) = 2.133060009533346 " "
y[1] (numeric) = 2.133060009533347 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.1638698195576496000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1282468662870413 " "
Order of pole = 0.9080509915370545 " "
x[1] = -0.5259999999999996 " "
y[1] (analytic) = 2.132575387390531 " "
y[1] (numeric) = 2.1325753873905318 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.164816048012826600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1277843679132618 " "
Order of pole = 0.9081050944402786 " "
x[1] = -0.5249999999999996 " "
y[1] (analytic) = 2.1320915485317933 " "
y[1] (numeric) = 2.1320915485317937 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.082880588105480400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1273224439800456 " "
Order of pole = 0.9081565446886533 " "
x[1] = -0.5239999999999996 " "
y[1] (analytic) = 2.1316084936024877 " "
y[1] (numeric) = 2.131608493602488 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.083352600549725800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1268610920512838 " "
Order of pole = 0.908205268183039 " "
x[1] = -0.5229999999999996 " "
y[1] (analytic) = 2.131126223247803 " "
y[1] (numeric) = 2.1311262232478034 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.083824059812269800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1264003098452644 " "
Order of pole = 0.9082511942500222 " "
x[1] = -0.5219999999999996 " "
y[1] (analytic) = 2.130644738112757 " "
y[1] (numeric) = 2.130644738112758 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.168589928731335500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1259400952402396 " "
Order of pole = 0.908294255770274 " "
x[1] = -0.5209999999999996 " "
y[1] (analytic) = 2.1301640388421945 " "
y[1] (numeric) = 2.1301640388421954 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.16953062536383700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1254804462784664 " "
Order of pole = 0.908334389273044 " "
x[1] = -0.5199999999999996 " "
y[1] (analytic) = 2.1296841260807824 " "
y[1] (numeric) = 2.1296841260807833 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.170470206464952400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1250213611709878 " "
Order of pole = 0.9083715350470261 " "
x[1] = -0.5189999999999996 " "
y[1] (analytic) = 2.1292050004730076 " "
y[1] (numeric) = 2.1292050004730085 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.171408668976517000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1245628383021518 " "
Order of pole = 0.9084056372455596 " "
x[1] = -0.5179999999999996 " "
y[1] (analytic) = 2.1287266626631722 " "
y[1] (numeric) = 2.128726662663173 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.17234600983931670000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.124104876233349 " "
Order of pole = 0.9084366439747313 " "
x[1] = -0.5169999999999996 " "
y[1] (analytic) = 2.128249113295391 " "
y[1] (numeric) = 2.1282491132953916 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.08664111299655500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1236474737068836 " "
Order of pole = 0.9084645073840925 " "
x[1] = -0.5159999999999996 " "
y[1] (analytic) = 2.127772353013587 " "
y[1] (numeric) = 2.127772353013588 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.17421731437664600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1231906296501815 " "
Order of pole = 0.9084891837652478 " "
x[1] = -0.5149999999999996 " "
y[1] (analytic) = 2.1272963824614894 " "
y[1] (numeric) = 2.1272963824614903 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.17515127192768560000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.122734343178474 " "
Order of pole = 0.9085106336164355 " "
x[1] = -0.5139999999999996 " "
y[1] (analytic) = 2.1268212022826294 " "
y[1] (numeric) = 2.12682120228263 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.088042047791511500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.122278613598356 " "
Order of pole = 0.9085288217265433 " "
x[1] = -0.5129999999999996 " "
y[1] (analytic) = 2.126346813120334 " "
y[1] (numeric) = 2.126346813120335 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.177015782278511400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1218234404105658 " "
Order of pole = 0.9085437172420416 " "
x[1] = -0.5119999999999996 " "
y[1] (analytic) = 2.125873215617729 " "
y[1] (numeric) = 2.1258732156177294 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.088973164474536600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1213688233125476 " "
Order of pole = 0.9085552937286678 " "
x[1] = -0.5109999999999996 " "
y[1] (analytic) = 2.1254004104177278 " "
y[1] (numeric) = 2.1254004104177278 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1209147622014177 " "
Order of pole = 0.9085635292425511 " "
x[1] = -0.5099999999999996 " "
y[1] (analytic) = 2.124928398163032 " "
y[1] (numeric) = 2.124928398163032 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1204612571751673 " "
Order of pole = 0.9085684063616526 " "
x[1] = -0.5089999999999996 " "
y[1] (analytic) = 2.1244571794961282 " "
y[1] (numeric) = 2.1244571794961287 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.090365549073529600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1200083085353671 " "
Order of pole = 0.9085699122510338 " "
x[1] = -0.5079999999999996 " "
y[1] (analytic) = 2.1239867550592835 " "
y[1] (numeric) = 2.123986755059284 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.090828527024724500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1195559167882916 " "
Order of pole = 0.9085680386923602 " "
x[1] = -0.5069999999999996 " "
y[1] (analytic) = 2.123517125494541 " "
y[1] (numeric) = 2.1235171254945415 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.091290927294215700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1191040826464191 " "
Order of pole = 0.9085627821222939 " "
x[1] = -0.5059999999999996 " "
y[1] (analytic) = 2.123048291443717 " "
y[1] (numeric) = 2.1230482914437174 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.091752748346919500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1186528070290784 " "
Order of pole = 0.9085541436512283 " "
x[1] = -0.5049999999999996 " "
y[1] (analytic) = 2.122580253548398 " "
y[1] (numeric) = 2.122580253548398 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1182020910640325 " "
Order of pole = 0.908542129103493 " "
x[1] = -0.5039999999999996 " "
y[1] (analytic) = 2.1221130124499354 " "
y[1] (numeric) = 2.1221130124499354 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1177519360869146 " "
Order of pole = 0.9085267490087663 " "
x[1] = -0.5029999999999996 " "
y[1] (analytic) = 2.1216465687894437 " "
y[1] (numeric) = 2.121646568789444 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.093134720847725200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1173023436421152 " "
Order of pole = 0.9085080186266659 " "
x[1] = -0.5019999999999996 " "
y[1] (analytic) = 2.1211809232077967 " "
y[1] (numeric) = 2.1211809232077967 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1168533154822045 " "
Order of pole = 0.90848595793776 " "
x[1] = -0.5009999999999996 " "
y[1] (analytic) = 2.120716076345621 " "
y[1] (numeric) = 2.1207160763456216 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.094053111604213300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1164048535678655 " "
Order of pole = 0.9084605916463939 " "
x[1] = -0.49999999999999956 " "
y[1] (analytic) = 2.1202520288432978 " "
y[1] (numeric) = 2.120252028843298 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.094511425098530600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1159569600668684 " "
Order of pole = 0.9084319491617148 " "
x[1] = -0.49899999999999956 " "
y[1] (analytic) = 2.119788781340953 " "
y[1] (numeric) = 2.1197887813409535 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.094969148620255700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1155096373530466 " "
Order of pole = 0.9084000645786876 " "
x[1] = -0.49799999999999955 " "
y[1] (analytic) = 2.1193263344784583 " "
y[1] (numeric) = 2.1193263344784583 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.115062888005254 " "
Order of pole = 0.9083649766585999 " "
x[1] = -0.49699999999999955 " "
y[1] (analytic) = 2.118864688895424 " "
y[1] (numeric) = 2.1188646888954246 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.095882819594151500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1146167148053332 " "
Order of pole = 0.9083267287871664 " "
x[1] = -0.49599999999999955 " "
y[1] (analytic) = 2.118403845231199 " "
y[1] (numeric) = 2.1184038452311995 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.096338763969697600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1141711207365672 " "
Order of pole = 0.9082853689434334 " "
x[1] = -0.49499999999999955 " "
y[1] (analytic) = 2.1179438041248644 " "
y[1] (numeric) = 2.117943804124865 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.096794112219424700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1137261089809807 " "
Order of pole = 0.908240949642666 " "
x[1] = -0.49399999999999955 " "
y[1] (analytic) = 2.1174845662152295 " "
y[1] (numeric) = 2.11748456621523 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.097248862804337600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1132816829174126 " "
Order of pole = 0.9081935278964739 " "
x[1] = -0.49299999999999955 " "
y[1] (analytic) = 2.1170261321408304 " "
y[1] (numeric) = 2.117026132140831 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.09770301418518600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1128378461181174 " "
Order of pole = 0.9081431651396201 " "
x[1] = -0.49199999999999955 " "
y[1] (analytic) = 2.116568502539924 " "
y[1] (numeric) = 2.1165685025399243 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.098156564822479500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1123946023459743 " "
Order of pole = 0.9080899271703995 " "
x[1] = -0.49099999999999955 " "
y[1] (analytic) = 2.1161116780504856 " "
y[1] (numeric) = 2.116111678050486 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.098609513176495000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1119519555510522 " "
Order of pole = 0.908033884076314 " "
x[1] = -0.48999999999999955 " "
y[1] (analytic) = 2.115655659310205 " "
y[1] (numeric) = 2.1156556593102054 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.099061857707292800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1115099098667216 " "
Order of pole = 0.9079751101494651 " "
x[1] = -0.48899999999999955 " "
y[1] (analytic) = 2.1152004469564814 " "
y[1] (numeric) = 2.115200446956482 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.09951359687472420000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1110684696058637 " "
Order of pole = 0.9079136838038231 " "
x[1] = -0.48799999999999955 " "
y[1] (analytic) = 2.1147460416264217 " "
y[1] (numeric) = 2.114746041626422 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.099964729138444600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.110627639256601 " "
Order of pole = 0.9078496874816384 " "
x[1] = -0.48699999999999954 " "
y[1] (analytic) = 2.114292443956835 " "
y[1] (numeric) = 2.1142924439568356 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.100415252957925400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1101874234775662 " "
Order of pole = 0.9077832075491514 " "
x[1] = -0.48599999999999954 " "
y[1] (analytic) = 2.1138396545842304 " "
y[1] (numeric) = 2.113839654584231 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.10086516679246500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.10974782709331 " "
Order of pole = 0.9077143341953331 " "
x[1] = -0.48499999999999954 " "
y[1] (analytic) = 2.1133876741448105 " "
y[1] (numeric) = 2.1133876741448114 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.202628938202403500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1093088550890753 " "
Order of pole = 0.9076431613161464 " "
x[1] = -0.48399999999999954 " "
y[1] (analytic) = 2.1129365032744727 " "
y[1] (numeric) = 2.112936503274473 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.101763158343121200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1088705126055258 " "
Order of pole = 0.9075697863973478 " "
x[1] = -0.48299999999999954 " "
y[1] (analytic) = 2.1124861426087977 " "
y[1] (numeric) = 2.112486142608798 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.102211232977075400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1084328049331622 " "
Order of pole = 0.9074943103903461 " "
x[1] = -0.48199999999999954 " "
y[1] (analytic) = 2.112036592783053 " "
y[1] (numeric) = 2.112036592783054 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.205317382923574600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1079957375063418 " "
Order of pole = 0.9074168375785838 " "
x[1] = -0.48099999999999954 " "
y[1] (analytic) = 2.1115878544321864 " "
y[1] (numeric) = 2.1115878544321873 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.206211064511733000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1075593158974535 " "
Order of pole = 0.9073374754474415 " "
x[1] = -0.47999999999999954 " "
y[1] (analytic) = 2.11113992819082 " "
y[1] (numeric) = 2.1111399281908207 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.207103507635640600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1071235458103306 " "
Order of pole = 0.9072563345365428 " "
x[1] = -0.47899999999999954 " "
y[1] (analytic) = 2.110692814693249 " "
y[1] (numeric) = 2.1106928146932495 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.103997354606065300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1066884330738407 " "
Order of pole = 0.9071735282958411 " "
x[1] = -0.47799999999999954 " "
y[1] (analytic) = 2.1102465145734373 " "
y[1] (numeric) = 2.1102465145734377 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.104442333078940200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1062539836351262 " "
Order of pole = 0.9070891729336452 " "
x[1] = -0.47699999999999954 " "
y[1] (analytic) = 2.1098010284650126 " "
y[1] (numeric) = 2.109801028465013 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.104886687694716400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1058202035526252 " "
Order of pole = 0.907003387259385 " "
x[1] = -0.47599999999999953 " "
y[1] (analytic) = 2.1093563570012646 " "
y[1] (numeric) = 2.109356357001265 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.105330416911609700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1053870989888808 " "
Order of pole = 0.9069162925213252 " "
x[1] = -0.47499999999999953 " "
y[1] (analytic) = 2.108912500815139 " "
y[1] (numeric) = 2.108912500815139 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.104954676203172 " "
Order of pole = 0.9068280122399948 " "
x[1] = -0.47399999999999953 " "
y[1] (analytic) = 2.1084694605392333 " "
y[1] (numeric) = 2.1084694605392333 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.104522941544024 " "
Order of pole = 0.9067386720387258 " "
x[1] = -0.47299999999999953 " "
y[1] (analytic) = 2.108027236805796 " "
y[1] (numeric) = 2.108027236805796 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.104091901441443 " "
Order of pole = 0.9066483994675867 " "
x[1] = -0.47199999999999953 " "
y[1] (analytic) = 2.107585830246719 " "
y[1] (numeric) = 2.1075858302467196 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.107099048953448600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1036615623990393 " "
Order of pole = 0.9065573238245968 " "
x[1] = -0.47099999999999953 " "
y[1] (analytic) = 2.1071452414935377 " "
y[1] (numeric) = 2.1071452414935377 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.103231930986124 " "
Order of pole = 0.9064655759760303 " "
x[1] = -0.46999999999999953 " "
y[1] (analytic) = 2.1067054711774214 " "
y[1] (numeric) = 2.1067054711774214 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1028030138293259 " "
Order of pole = 0.9063732881657369 " "
x[1] = -0.46899999999999953 " "
y[1] (analytic) = 2.1062665199291746 " "
y[1] (numeric) = 2.106266519929175 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.108418880745422400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1023748176045323 " "
Order of pole = 0.9062805938312852 " "
x[1] = -0.4679999999999995 " "
y[1] (analytic) = 2.1058283883792317 " "
y[1] (numeric) = 2.105828388379232 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.108857551264467200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1019473490283185 " "
Order of pole = 0.9061876274085385 " "
x[1] = -0.4669999999999995 " "
y[1] (analytic) = 2.1053910771576514 " "
y[1] (numeric) = 2.1053910771576514 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.101520614849584 " "
Order of pole = 0.9060945241404923 " "
x[1] = -0.4659999999999995 " "
y[1] (analytic) = 2.1049545868941135 " "
y[1] (numeric) = 2.1049545868941135 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1010946218407787 " "
Order of pole = 0.9060014198766186 " "
x[1] = -0.4649999999999995 " "
y[1] (analytic) = 2.104518918217915 " "
y[1] (numeric) = 2.1045189182179156 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.110169721002616300000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1006693767894038 " "
Order of pole = 0.9059084508780852 " "
x[1] = -0.4639999999999995 " "
y[1] (analytic) = 2.104084071757969 " "
y[1] (numeric) = 2.104084071757969 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.1002448864891266 " "
Order of pole = 0.9058157536141493 " "
x[1] = -0.4629999999999995 " "
y[1] (analytic) = 2.1036500481427947 " "
y[1] (numeric) = 2.103650048142795 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.111041283896655200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.09982115773106 " "
Order of pole = 0.9057234645619108 " "
x[1] = -0.4619999999999995 " "
y[1] (analytic) = 2.103216848000519 " "
y[1] (numeric) = 2.103216848000519 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0993981972949138 " "
Order of pole = 0.9056317200028658 " "
x[1] = -0.4609999999999995 " "
y[1] (analytic) = 2.1027844719588678 " "
y[1] (numeric) = 2.102784471958868 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.111910258859612500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0989760119400331 " "
Order of pole = 0.905540655816738 " "
x[1] = -0.4599999999999995 " "
y[1] (analytic) = 2.102352920645167 " "
y[1] (numeric) = 2.1023529206451674 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.112343772014173600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0985546083966922 " "
Order of pole = 0.9054504072809006 " "
x[1] = -0.4589999999999995 " "
y[1] (analytic) = 2.1019221946863347 " "
y[1] (numeric) = 2.101922194686335 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.112776633562942500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0981339933570402 " "
Order of pole = 0.9053611088615359 " "
x[1] = -0.4579999999999995 " "
y[1] (analytic) = 2.101492294708878 " "
y[1] (numeric) = 2.1014922947088785 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.113208841965241400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0977141734662461 " "
Order of pole = 0.9052728940090891 " "
x[1] = -0.4569999999999995 " "
y[1] (analytic) = 2.1010632213388907 " "
y[1] (numeric) = 2.1010632213388907 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0972951553138053 " "
Order of pole = 0.905185894957425 " "
x[1] = -0.4559999999999995 " "
y[1] (analytic) = 2.1006349752020457 " "
y[1] (numeric) = 2.1006349752020457 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0968769454244913 " "
Order of pole = 0.9051002425142336 " "
x[1] = -0.4549999999999995 " "
y[1] (analytic) = 2.1002075569235945 " "
y[1] (numeric) = 2.100207556923595 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.11450153288929700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0964595502497752 " "
Order of pole = 0.9050160658622399 " "
x[1] = -0.4539999999999995 " "
y[1] (analytic) = 2.099780967128362 " "
y[1] (numeric) = 2.0997809671283623 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.114931113302709600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.096042976159084 " "
Order of pole = 0.9049334923564825 " "
x[1] = -0.4529999999999995 " "
y[1] (analytic) = 2.0993552064407415 " "
y[1] (numeric) = 2.0993552064407415 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.09562722943116 " "
Order of pole = 0.9048526473233984 " "
x[1] = -0.4519999999999995 " "
y[1] (analytic) = 2.098930275484691 " "
y[1] (numeric) = 2.098930275484691 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0952123162455052 " "
Order of pole = 0.904773653862021 " "
x[1] = -0.4509999999999995 " "
y[1] (analytic) = 2.0985061748837297 " "
y[1] (numeric) = 2.0985061748837297 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0947982426741123 " "
Order of pole = 0.9046966326512944 " "
x[1] = -0.4499999999999995 " "
y[1] (analytic) = 2.0980829052609336 " "
y[1] (numeric) = 2.0980829052609336 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0943850146729983 " "
Order of pole = 0.9046217017526974 " "
x[1] = -0.4489999999999995 " "
y[1] (analytic) = 2.0976604672389314 " "
y[1] (numeric) = 2.0976604672389314 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.093972638074156 " "
Order of pole = 0.9045489764223404 " "
x[1] = -0.4479999999999995 " "
y[1] (analytic) = 2.0972388614399007 " "
y[1] (numeric) = 2.0972388614399007 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0935611185774576 " "
Order of pole = 0.9044785689216326 " "
x[1] = -0.4469999999999995 " "
y[1] (analytic) = 2.0968180884855623 " "
y[1] (numeric) = 2.0968180884855627 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.11791958629471920000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0931504617429324 " "
Order of pole = 0.9044105883364715 " "
x[1] = -0.4459999999999995 " "
y[1] (analytic) = 2.0963981489971792 " "
y[1] (numeric) = 2.0963981489971792 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.092740672982914 " "
Order of pole = 0.9043451403932306 " "
x[1] = -0.4449999999999995 " "
y[1] (analytic) = 2.0959790435955488 " "
y[1] (numeric) = 2.0959790435955488 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.092331757554663 " "
Order of pole = 0.9042823272853955 " "
x[1] = -0.4439999999999995 " "
y[1] (analytic) = 2.095560772901001 " "
y[1] (numeric) = 2.095560772901001 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0919237205530388 " "
Order of pole = 0.9042222475012469 " "
x[1] = -0.4429999999999995 " "
y[1] (analytic) = 2.095143337533394 " "
y[1] (numeric) = 2.095143337533394 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0915165669034839 " "
Order of pole = 0.9041649956586717 " "
x[1] = -0.4419999999999995 " "
y[1] (analytic) = 2.094726738112109 " "
y[1] (numeric) = 2.094726738112109 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0911103013549355 " "
Order of pole = 0.9041106623378319 " "
x[1] = -0.4409999999999995 " "
y[1] (analytic) = 2.0943109752560476 " "
y[1] (numeric) = 2.0943109752560476 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0907049284735137 " "
Order of pole = 0.9040593339319418 " "
x[1] = -0.4399999999999995 " "
y[1] (analytic) = 2.093896049583626 " "
y[1] (numeric) = 2.093896049583626 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.090300452635949 " "
Order of pole = 0.9040110924915847 " "
x[1] = -0.4389999999999995 " "
y[1] (analytic) = 2.093481961712772 " "
y[1] (numeric) = 2.0934819617127722 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.121294656328126500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0898968780234461 " "
Order of pole = 0.9039660155791545 " "
x[1] = -0.4379999999999995 " "
y[1] (analytic) = 2.0930687122609197 " "
y[1] (numeric) = 2.09306871226092 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.121713478628994600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.089494208615954 " "
Order of pole = 0.9039241761323993 " "
x[1] = -0.4369999999999995 " "
y[1] (analytic) = 2.092656301845007 " "
y[1] (numeric) = 2.0926563018450075 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.12213161549045510000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0890924481865292 " "
Order of pole = 0.9038856423301436 " "
x[1] = -0.4359999999999995 " "
y[1] (analytic) = 2.09224473108147 " "
y[1] (numeric) = 2.0922447310814705 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.122549065378768200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0886916002960632 " "
Order of pole = 0.903850477466074 " "
x[1] = -0.4349999999999995 " "
y[1] (analytic) = 2.0918340005862386 " "
y[1] (numeric) = 2.091834000586239 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.122965826760661600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0882916682882475 " "
Order of pole = 0.9038187398282052 " "
x[1] = -0.4339999999999995 " "
y[1] (analytic) = 2.0914241109747334 " "
y[1] (numeric) = 2.0914241109747334 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0878926552849846 " "
Order of pole = 0.9037904825882475 " "
x[1] = -0.4329999999999995 " "
y[1] (analytic) = 2.09101506286186 " "
y[1] (numeric) = 2.0910150628618602 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.12379727787451500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0874945641821532 " "
Order of pole = 0.9037657536993677 " "
x[1] = -0.4319999999999995 " "
y[1] (analytic) = 2.090606856862007 " "
y[1] (numeric) = 2.0906068568620073 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.12421196454238600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0870973976452805 " "
Order of pole = 0.9037445957914265 " "
x[1] = -0.4309999999999995 " "
y[1] (analytic) = 2.090199493589039 " "
y[1] (numeric) = 2.09019949358904 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.249251913151371000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0867011581061374 " "
Order of pole = 0.9037270460877647 " "
x[1] = -0.4299999999999995 " "
y[1] (analytic) = 2.089792973656296 " "
y[1] (numeric) = 2.0897929736562966 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.125039252443678000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0863058477593468 " "
Order of pole = 0.9037131363220041 " "
x[1] = -0.4289999999999995 " "
y[1] (analytic) = 2.089387297676584 " "
y[1] (numeric) = 2.089387297676585 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.25090370123235140000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0859114685593503 " "
Order of pole = 0.9037028926633397 " "
x[1] = -0.4279999999999995 " "
y[1] (analytic) = 2.088982466262176 " "
y[1] (numeric) = 2.088982466262177 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.25172749912710400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0855180222177054 " "
Order of pole = 0.9036963356491672 " "
x[1] = -0.4269999999999995 " "
y[1] (analytic) = 2.0885784800248044 " "
y[1] (numeric) = 2.0885784800248053 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.252549895513512700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.085125510201132 " "
Order of pole = 0.9036934801352903 " "
x[1] = -0.4259999999999995 " "
y[1] (analytic) = 2.088175339575657 " "
y[1] (numeric) = 2.0881753395756584 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3800563310019800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0847339337292996 " "
Order of pole = 0.9036943352399778 " "
x[1] = -0.4249999999999995 " "
y[1] (analytic) = 2.0877730455253753 " "
y[1] (numeric) = 2.0877730455253762 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.25419047153480500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0843432937734363 " "
Order of pole = 0.9036989043069976 " "
x[1] = -0.4239999999999995 " "
y[1] (analytic) = 2.0873715984840464 " "
y[1] (numeric) = 2.0873715984840473 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.255008645059485000000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0839535910554075 " "
Order of pole = 0.9037071848797531 " "
x[1] = -0.4229999999999995 " "
y[1] (analytic) = 2.0869709990612018 " "
y[1] (numeric) = 2.0869709990612026 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.255825404855464500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.083564826046652 " "
Order of pole = 0.9037191686719659 " "
x[1] = -0.4219999999999995 " "
y[1] (analytic) = 2.0865712478658116 " "
y[1] (numeric) = 2.0865712478658125 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.25664074787080740000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.083176998968033 " "
Order of pole = 0.9037348415596078 " "
x[1] = -0.4209999999999995 " "
y[1] (analytic) = 2.08617234550628 " "
y[1] (numeric) = 2.0861723455062813 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.38618200658233800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0827901097899635 " "
Order of pole = 0.9037541835793252 " "
x[1] = -0.4199999999999995 " "
y[1] (analytic) = 2.0857742925904423 " "
y[1] (numeric) = 2.0857742925904437 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.38740075703765900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0824041582325352 " "
Order of pole = 0.9037771689270429 " "
x[1] = -0.4189999999999995 " "
y[1] (analytic) = 2.0853770897255597 " "
y[1] (numeric) = 2.085377089725561 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3886173686003100000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0820191437668345 " "
Order of pole = 0.9038037659839606 " "
x[1] = -0.4179999999999995 " "
y[1] (analytic) = 2.084980737518315 " "
y[1] (numeric) = 2.084980737518316 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.25988789113368570000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.081635065615782 " "
Order of pole = 0.9038339373317967 " "
x[1] = -0.4169999999999995 " "
y[1] (analytic) = 2.084585236574807 " "
y[1] (numeric) = 2.0845852365748083 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.39104415677069700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0812519227559347 " "
Order of pole = 0.9038676397904961 " "
x[1] = -0.4159999999999995 " "
y[1] (analytic) = 2.084190587500549 " "
y[1] (numeric) = 2.0841905875005504 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.39225432424536800000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0808697139196455 " "
Order of pole = 0.9039048244640497 " "
x[1] = -0.4149999999999995 " "
y[1] (analytic) = 2.0837967909004633 " "
y[1] (numeric) = 2.083796790900464 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.26230822304088540000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.080488437597332 " "
Order of pole = 0.903945436789348 " "
x[1] = -0.4139999999999995 " "
y[1] (analytic) = 2.083403847378874 " "
y[1] (numeric) = 2.083403847378875 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.39466818315762900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0801080920400465 " "
Order of pole = 0.9039894165916955 " "
x[1] = -0.4129999999999995 " "
y[1] (analytic) = 2.083011757539508 " "
y[1] (numeric) = 2.083011757539509 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.263914576983751600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0797286752643573 " "
Order of pole = 0.9040366981954904 " "
x[1] = -0.4119999999999995 " "
y[1] (analytic) = 2.0826205219854854 " "
y[1] (numeric) = 2.0826205219854863 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.26471558463935700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0793501850529619 " "
Order of pole = 0.9040872104329054 " "
x[1] = -0.4109999999999995 " "
y[1] (analytic) = 2.082230141319319 " "
y[1] (numeric) = 2.08223014131932 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.2655151420359700000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0789726189613624 " "
Order of pole = 0.9041408767974719 " "
x[1] = -0.4099999999999995 " "
y[1] (analytic) = 2.081840616142907 " "
y[1] (numeric) = 2.0818406161429084 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.39946986920892600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0785959743215037 " "
Order of pole = 0.9041976155244953 " "
x[1] = -0.4089999999999995 " "
y[1] (analytic) = 2.0814519470575323 " "
y[1] (numeric) = 2.0814519470575332 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.26710989391664130000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0782202482461716 " "
Order of pole = 0.9042573396903286 " "
x[1] = -0.4079999999999995 " "
y[1] (analytic) = 2.081064134663852 " "
y[1] (numeric) = 2.0810641346638534 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.40185762350560600000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.07784543763453 " "
Order of pole = 0.904319957338144 " "
x[1] = -0.4069999999999995 " "
y[1] (analytic) = 2.080677179561901 " "
y[1] (numeric) = 2.080677179561902 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.26869880837130400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.077471539177475 " "
Order of pole = 0.9043853715998527 " "
x[1] = -0.4059999999999995 " "
y[1] (analytic) = 2.08029108235108 " "
y[1] (numeric) = 2.080291082351081 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.26949106899181530000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0770985493639071 " "
Order of pole = 0.9044534808394324 " "
x[1] = -0.40499999999999947 " "
y[1] (analytic) = 2.079905843630156 " "
y[1] (numeric) = 2.0799058436301574 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.40542279175926200000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0767264644865817 " "
Order of pole = 0.9045241787866747 " "
x[1] = -0.40399999999999947 " "
y[1] (analytic) = 2.079521463997257 " "
y[1] (numeric) = 2.079521463997258 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.40660677283562400000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0763552806489232 " "
Order of pole = 0.9045973546937454 " "
x[1] = -0.40299999999999947 " "
y[1] (analytic) = 2.0791379440498647 " "
y[1] (numeric) = 2.079137944049866 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.40778854218359500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0759849937720913 " "
Order of pole = 0.9046728934977786 " "
x[1] = -0.40199999999999947 " "
y[1] (analytic) = 2.078755284384815 " "
y[1] (numeric) = 2.078755284384816 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.27264539684848900000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0756155996020131 " "
Order of pole = 0.9047506759829336 " "
x[1] = -0.40099999999999947 " "
y[1] (analytic) = 2.0783734855982883 " "
y[1] (numeric) = 2.078373485598289 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.273430285050287500000000000000E-14 "%"
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 1.0752470937172307 " "
Order of pole = 0.9048305789616364 " "
x[1] = -0.39999999999999947 " "
y[1] (analytic) = 2.0779925482858093 " "
y[1] (numeric) = 2.07799254828581 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.27421368971128870000000000000E-14 "%"
h = 1.000E-3 " "
"Finished!"
"Maximum Time Reached before Solution Completed!"
"diff ( y , x , 1 ) = arctan ( x ) ;"
Iterations = 600
"Total Elapsed Time "= 15 Minutes 3 Seconds
"Elapsed Time(since restart) "= 15 Minutes 2 Seconds
"Expected Time Remaining "= 2 Hours 15 Minutes 18 Seconds
"Optimized Time Remaining "= 2 Hours 15 Minutes 11 Seconds
"Time to Timeout " Unknown
Percent Done = 10.016666666666675 "%"
(%o49) true
(%o49) diffeq.max