template<typename
Real = double, typename Index = int>
class TNL::Solvers::IterativeSolverMonitor< Real, Index >
Object for monitoring convergence of iterative solvers.
- Template Parameters
-
Real | is a type of the floating-point arithmetics. |
Index | is an indexing type. |
The following example shows how to use the iterative solver monitor for monitoring convergence of linear iterative solver:
1#include <iostream>
2#include <memory>
3#include <chrono>
4#include <thread>
5#include <TNL/Matrices/SparseMatrix.h>
6#include <TNL/Devices/Sequential.h>
7#include <TNL/Devices/Cuda.h>
8#include <TNL/Solvers/Linear/Jacobi.h>
9
10template< typename Device >
11void
12iterativeLinearSolverExample()
13{
14
15
16
17
18
19
20
21
22
25 const int size( 5 );
27 matrix_ptr->setDimensions( size, size );
28 matrix_ptr->setRowCapacities( Vector( { 2, 3, 3, 3, 2 } ) );
29
31 {
32 const int rowIdx = row.getRowIndex();
33 if( rowIdx == 0 ) {
34 row.setElement( 0, rowIdx, 2.5 );
35 row.setElement( 1, rowIdx + 1, -1 );
36 }
37 else if( rowIdx == size - 1 ) {
38 row.setElement( 0, rowIdx - 1, -1.0 );
39 row.setElement( 1, rowIdx, 2.5 );
40 }
41 else {
42 row.setElement( 0, rowIdx - 1, -1.0 );
43 row.setElement( 1, rowIdx, 2.5 );
44 row.setElement( 2, rowIdx + 1, -1.0 );
45 }
46 };
47
48
49
50
51 matrix_ptr->forAllRows( f );
53
54
55
56
57 Vector x( size, 1.0 );
58 Vector b( size );
59 matrix_ptr->vectorProduct( x, b );
60 x = 0.0;
62
63
64
65
67 LinearSolver solver;
69 solver.setOmega( 0.0005 );
70
71
72
73
75 IterativeSolverMonitorType monitor;
77 monitor.setRefreshRate( 10 );
78 monitor.setVerbose( 1 );
79 monitor.setStage( "Jacobi stage:" );
80 solver.setSolverMonitor( monitor );
81 solver.setConvergenceResidue( 1.0e-6 );
82 solver.solve( b, x );
83 monitor.stopMainLoop();
85}
86
87int
88main( int argc, char* argv[] )
89{
91 iterativeLinearSolverExample< TNL::Devices::Sequential >();
92
93#ifdef __CUDACC__
95 iterativeLinearSolverExample< TNL::Devices::Cuda >();
96#endif
97}
#define __cuda_callable__
Definition Macros.h:49
Vector extends Array with algebraic operations.
Definition Vector.h:36
Implementation of sparse matrix, i.e. matrix storing only non-zero elements.
Definition SparseMatrix.h:55
Iterative solver of linear systems based on the Jacobi method.
Definition Jacobi.h:21
void setMatrix(const MatrixPointer &matrix)
Set the matrix of the linear system.
Definition LinearSolver.h:120
A RAII wrapper for launching the SolverMonitor's main loop in a separate thread.
Definition SolverMonitor.h:133
The result looks as follows:
Solving linear system on host:
Row: 0 -> 0:2.5 1:-1
Row: 1 -> 0:-1 1:2.5 2:-1
Row: 2 -> 1:-1 2:2.5 3:-1
Row: 3 -> 2:-1 3:2.5 4:-1
Row: 4 -> 3:-1 4:2.5
Vector b = [ 1.5, 0.5, 0.5, 0.5, 1.5 ]
Jacobi stage: ITER: 33709 RES: 0.0040741
Jacobi stage: ITER: 68265 RES: 2.0177e-05
Vector x = [ 0.999999, 0.999999, 0.999998, 0.999999, 0.999999 ]
Solving linear system on CUDA device:
Row: 0 -> 0:2.5 1:-1
Row: 1 -> 0:-1 1:2.5 2:-1
Row: 2 -> 1:-1 2:2.5 3:-1
Row: 3 -> 2:-1 3:2.5 4:-1
Row: 4 -> 3:-1 4:2.5
Vector b = [ 1.5, 0.5, 0.5, 0.5, 1.5 ]
Jacobi stage: ITER: 1443 RES: 0.66045
Jacobi stage: ITER: 1843 RES: 0.60246
Jacobi stage: ITER: 2175 RES: 0.56113
Jacobi stage: ITER: 2507 RES: 0.52465
Jacobi stage: ITER: 2839 RES: 0.4921
Jacobi stage: ITER: 3171 RES: 0.46275
Jacobi stage: ITER: 3503 RES: 0.43606
Jacobi stage: ITER: 3835 RES: 0.4116
Jacobi stage: ITER: 4167 RES: 0.38904
Jacobi stage: ITER: 4499 RES: 0.36812
Jacobi stage: ITER: 4835 RES: 0.3484
Jacobi stage: ITER: 5159 RES: 0.3306
Jacobi stage: ITER: 5499 RES: 0.31308
Jacobi stage: ITER: 5839 RES: 0.29663
Jacobi stage: ITER: 6147 RES: 0.28256
Jacobi stage: ITER: 6487 RES: 0.26788
Jacobi stage: ITER: 6827 RES: 0.25403
Jacobi stage: ITER: 7167 RES: 0.24093
Jacobi stage: ITER: 7509 RES: 0.2284
Jacobi stage: ITER: 7779 RES: 0.21911
Jacobi stage: ITER: 8079 RES: 0.20918
Jacobi stage: ITER: 8415 RES: 0.1986
Jacobi stage: ITER: 8751 RES: 0.18856
Jacobi stage: ITER: 9091 RES: 0.17894
Jacobi stage: ITER: 9431 RES: 0.16981
Jacobi stage: ITER: 9773 RES: 0.16105
Jacobi stage: ITER: 10063 RES: 0.15407
Jacobi stage: ITER: 10375 RES: 0.14685
Jacobi stage: ITER: 10709 RES: 0.13945
Jacobi stage: ITER: 11045 RES: 0.13243
Jacobi stage: ITER: 11385 RES: 0.12569
Jacobi stage: ITER: 11727 RES: 0.11929
Jacobi stage: ITER: 12067 RES: 0.11322
Jacobi stage: ITER: 12351 RES: 0.10838
Jacobi stage: ITER: 12651 RES: 0.1035
Jacobi stage: ITER: 12991 RES: 0.098232
Jacobi stage: ITER: 13331 RES: 0.093232
Jacobi stage: ITER: 13671 RES: 0.088488
Jacobi stage: ITER: 14011 RES: 0.083985
Jacobi stage: ITER: 14337 RES: 0.079858
Jacobi stage: ITER: 14651 RES: 0.076121
Jacobi stage: ITER: 14951 RES: 0.072692
Jacobi stage: ITER: 15281 RES: 0.069078
Jacobi stage: ITER: 15623 RES: 0.065563
Jacobi stage: ITER: 15961 RES: 0.062227
Jacobi stage: ITER: 16303 RES: 0.05906
Jacobi stage: ITER: 16631 RES: 0.056158
Jacobi stage: ITER: 16949 RES: 0.053465
Jacobi stage: ITER: 17287 RES: 0.050775
Jacobi stage: ITER: 17563 RES: 0.048668
Jacobi stage: ITER: 17883 RES: 0.046334
Jacobi stage: ITER: 18223 RES: 0.043976
Jacobi stage: ITER: 18563 RES: 0.041738
Jacobi stage: ITER: 18903 RES: 0.039614
Jacobi stage: ITER: 19245 RES: 0.037575
Jacobi stage: ITER: 19569 RES: 0.035751
Jacobi stage: ITER: 19907 RES: 0.033953
Jacobi stage: ITER: 20127 RES: 0.032825
Jacobi stage: ITER: 20459 RES: 0.031193
Jacobi stage: ITER: 20799 RES: 0.029606
Jacobi stage: ITER: 21139 RES: 0.028099
Jacobi stage: ITER: 21479 RES: 0.026669
Jacobi stage: ITER: 21773 RES: 0.025484
Jacobi stage: ITER: 22091 RES: 0.024276
Jacobi stage: ITER: 22427 RES: 0.023055
Jacobi stage: ITER: 22763 RES: 0.021896
Jacobi stage: ITER: 23099 RES: 0.020794
Jacobi stage: ITER: 23435 RES: 0.019748
Jacobi stage: ITER: 23771 RES: 0.018755
Jacobi stage: ITER: 24107 RES: 0.017812
Jacobi stage: ITER: 24443 RES: 0.016916
Jacobi stage: ITER: 24779 RES: 0.016065
Jacobi stage: ITER: 25115 RES: 0.015257
Jacobi stage: ITER: 25451 RES: 0.014489
Jacobi stage: ITER: 25789 RES: 0.013752
Jacobi stage: ITER: 26125 RES: 0.01306
Jacobi stage: ITER: 26463 RES: 0.012403
Jacobi stage: ITER: 26799 RES: 0.011779
Jacobi stage: ITER: 27135 RES: 0.011187
Jacobi stage: ITER: 27471 RES: 0.010624
Jacobi stage: ITER: 27807 RES: 0.01009
Jacobi stage: ITER: 28143 RES: 0.0095822
Jacobi stage: ITER: 28479 RES: 0.0091002
Jacobi stage: ITER: 28815 RES: 0.0086425
Jacobi stage: ITER: 29151 RES: 0.0082078
Jacobi stage: ITER: 29487 RES: 0.0077949
Jacobi stage: ITER: 29823 RES: 0.0074028
Jacobi stage: ITER: 30161 RES: 0.0070261
Jacobi stage: ITER: 30497 RES: 0.0066727
Jacobi stage: ITER: 30833 RES: 0.0063371
Jacobi stage: ITER: 31169 RES: 0.0060183
Jacobi stage: ITER: 31505 RES: 0.0057156
Jacobi stage: ITER: 31843 RES: 0.0054281
Jacobi stage: ITER: 32179 RES: 0.005155
Jacobi stage: ITER: 32515 RES: 0.0048957
Jacobi stage: ITER: 32851 RES: 0.0046495
Jacobi stage: ITER: 33187 RES: 0.0044156
Jacobi stage: ITER: 33523 RES: 0.0041935
Jacobi stage: ITER: 33859 RES: 0.0039826
Jacobi stage: ITER: 34197 RES: 0.0037799
Jacobi stage: ITER: 34533 RES: 0.0035898
Jacobi stage: ITER: 34869 RES: 0.0034092
Jacobi stage: ITER: 35205 RES: 0.0032377
Jacobi stage: ITER: 35543 RES: 0.0030749
Jacobi stage: ITER: 35879 RES: 0.0029202
Jacobi stage: ITER: 36215 RES: 0.0027733
Jacobi stage: ITER: 36551 RES: 0.0026338
Jacobi stage: ITER: 36887 RES: 0.0025013
Jacobi stage: ITER: 37223 RES: 0.0023755
Jacobi stage: ITER: 37559 RES: 0.002256
Jacobi stage: ITER: 37895 RES: 0.0021425
Jacobi stage: ITER: 38231 RES: 0.0020348
Jacobi stage: ITER: 38567 RES: 0.0019324
Jacobi stage: ITER: 38903 RES: 0.0018352
Jacobi stage: ITER: 39241 RES: 0.0017418
Jacobi stage: ITER: 39577 RES: 0.0016542
Jacobi stage: ITER: 39913 RES: 0.001571
Jacobi stage: ITER: 40249 RES: 0.001492
Jacobi stage: ITER: 40585 RES: 0.0014169
Jacobi stage: ITER: 40921 RES: 0.0013457
Jacobi stage: ITER: 41259 RES: 0.001278
Jacobi stage: ITER: 41595 RES: 0.0012137
Jacobi stage: ITER: 41931 RES: 0.0011526
Jacobi stage: ITER: 42267 RES: 0.0010947
Jacobi stage: ITER: 42603 RES: 0.0010396
Jacobi stage: ITER: 42939 RES: 0.0009873
Jacobi stage: ITER: 43275 RES: 0.00093764
Jacobi stage: ITER: 43611 RES: 0.00089048
Jacobi stage: ITER: 43947 RES: 0.00084568
Jacobi stage: ITER: 44285 RES: 0.00080265
Jacobi stage: ITER: 44621 RES: 0.00076228
Jacobi stage: ITER: 44957 RES: 0.00072393
Jacobi stage: ITER: 45293 RES: 0.00068752
Jacobi stage: ITER: 45629 RES: 0.00065294
Jacobi stage: ITER: 45965 RES: 0.00062009
Jacobi stage: ITER: 46301 RES: 0.0005889
Jacobi stage: ITER: 46639 RES: 0.00055928
Jacobi stage: ITER: 46975 RES: 0.00053115
Jacobi stage: ITER: 47311 RES: 0.00050443
Jacobi stage: ITER: 47647 RES: 0.00047906
Jacobi stage: ITER: 47983 RES: 0.00045496
Jacobi stage: ITER: 48319 RES: 0.00043208
Jacobi stage: ITER: 48655 RES: 0.00041034
Jacobi stage: ITER: 48991 RES: 0.0003897
Jacobi stage: ITER: 49327 RES: 0.0003701
Jacobi stage: ITER: 49663 RES: 0.00035148
Jacobi stage: ITER: 49999 RES: 0.0003338
Jacobi stage: ITER: 50335 RES: 0.00031701
Jacobi stage: ITER: 50671 RES: 0.00030107
Jacobi stage: ITER: 51007 RES: 0.00028592
Jacobi stage: ITER: 51343 RES: 0.00027154
Jacobi stage: ITER: 51679 RES: 0.00025788
Jacobi stage: ITER: 52015 RES: 0.00024491
Jacobi stage: ITER: 52351 RES: 0.00023259
Jacobi stage: ITER: 52687 RES: 0.00022089
Jacobi stage: ITER: 53025 RES: 0.00020965
Jacobi stage: ITER: 53361 RES: 0.00019911
Jacobi stage: ITER: 53697 RES: 0.00018909
Jacobi stage: ITER: 54033 RES: 0.00017958
Jacobi stage: ITER: 54369 RES: 0.00017055
Jacobi stage: ITER: 54705 RES: 0.00016197
Jacobi stage: ITER: 55043 RES: 0.00015382
Jacobi stage: ITER: 55379 RES: 0.00014608
Jacobi stage: ITER: 55715 RES: 0.00013873
Jacobi stage: ITER: 56051 RES: 0.00013176
Jacobi stage: ITER: 56387 RES: 0.00012513
Jacobi stage: ITER: 56723 RES: 0.00011883
Jacobi stage: ITER: 57059 RES: 0.00011286
Jacobi stage: ITER: 57395 RES: 0.00010718
Jacobi stage: ITER: 57731 RES: 0.00010179
Jacobi stage: ITER: 58067 RES: 9.6669e-05
Jacobi stage: ITER: 58405 RES: 9.175e-05
Jacobi stage: ITER: 58741 RES: 8.7135e-05
Jacobi stage: ITER: 59077 RES: 8.2752e-05
Jacobi stage: ITER: 59413 RES: 7.8589e-05
Jacobi stage: ITER: 59749 RES: 7.4636e-05
Jacobi stage: ITER: 60085 RES: 7.0882e-05
Jacobi stage: ITER: 60423 RES: 6.7317e-05
Jacobi stage: ITER: 60759 RES: 6.393e-05
Jacobi stage: ITER: 61095 RES: 6.0715e-05
Jacobi stage: ITER: 61431 RES: 5.7661e-05
Jacobi stage: ITER: 61767 RES: 5.476e-05
Jacobi stage: ITER: 62103 RES: 5.2006e-05
Jacobi stage: ITER: 62439 RES: 4.939e-05
Jacobi stage: ITER: 62775 RES: 4.6905e-05
Jacobi stage: ITER: 63111 RES: 4.4546e-05
Jacobi stage: ITER: 63447 RES: 4.2305e-05
Jacobi stage: ITER: 63783 RES: 4.0177e-05
Jacobi stage: ITER: 64119 RES: 3.8156e-05
Jacobi stage: ITER: 64455 RES: 3.6237e-05
Jacobi stage: ITER: 64793 RES: 3.4393e-05
Jacobi stage: ITER: 65129 RES: 3.2663e-05
Jacobi stage: ITER: 65465 RES: 3.102e-05
Jacobi stage: ITER: 65801 RES: 2.946e-05
Jacobi stage: ITER: 66139 RES: 2.7978e-05
Jacobi stage: ITER: 66475 RES: 2.6571e-05
Jacobi stage: ITER: 66811 RES: 2.5234e-05
Jacobi stage: ITER: 67147 RES: 2.3965e-05
Jacobi stage: ITER: 67483 RES: 2.2759e-05
Jacobi stage: ITER: 67819 RES: 2.1615e-05
Jacobi stage: ITER: 68155 RES: 2.0527e-05
Jacobi stage: ITER: 68491 RES: 1.9495e-05
Jacobi stage: ITER: 68827 RES: 1.8514e-05
Jacobi stage: ITER: 69163 RES: 1.7583e-05
Jacobi stage: ITER: 69499 RES: 1.6698e-05
Jacobi stage: ITER: 69835 RES: 1.5859e-05
Jacobi stage: ITER: 70173 RES: 1.5052e-05
Jacobi stage: ITER: 70509 RES: 1.4294e-05
Jacobi stage: ITER: 70845 RES: 1.3575e-05
Jacobi stage: ITER: 71181 RES: 1.2893e-05
Jacobi stage: ITER: 71517 RES: 1.2244e-05
Jacobi stage: ITER: 71855 RES: 1.1628e-05
Jacobi stage: ITER: 72191 RES: 1.1043e-05
Jacobi stage: ITER: 72527 RES: 1.0488e-05
Jacobi stage: ITER: 72863 RES: 9.9602e-06
Jacobi stage: ITER: 73199 RES: 9.4592e-06
Jacobi stage: ITER: 73535 RES: 8.9834e-06
Jacobi stage: ITER: 73871 RES: 8.5315e-06
Jacobi stage: ITER: 74207 RES: 8.1024e-06
Jacobi stage: ITER: 74543 RES: 7.6948e-06
Jacobi stage: ITER: 74879 RES: 7.3078e-06
Jacobi stage: ITER: 75215 RES: 6.9402e-06
Jacobi stage: ITER: 75553 RES: 6.5871e-06
Jacobi stage: ITER: 75889 RES: 6.2557e-06
Jacobi stage: ITER: 76225 RES: 5.941e-06
Jacobi stage: ITER: 76563 RES: 5.6422e-06
Jacobi stage: ITER: 76899 RES: 5.3584e-06
Jacobi stage: ITER: 77235 RES: 5.0889e-06
Jacobi stage: ITER: 77571 RES: 4.8329e-06
Jacobi stage: ITER: 77907 RES: 4.5898e-06
Jacobi stage: ITER: 78243 RES: 4.3589e-06
Jacobi stage: ITER: 78579 RES: 4.1397e-06
Jacobi stage: ITER: 78917 RES: 3.929e-06
Jacobi stage: ITER: 79253 RES: 3.7314e-06
Jacobi stage: ITER: 79589 RES: 3.5437e-06
Jacobi stage: ITER: 79925 RES: 3.3654e-06
Jacobi stage: ITER: 80263 RES: 3.1962e-06
Jacobi stage: ITER: 80599 RES: 3.0354e-06
Jacobi stage: ITER: 80935 RES: 2.8827e-06
Jacobi stage: ITER: 81271 RES: 2.7377e-06
Jacobi stage: ITER: 81607 RES: 2.6e-06
Jacobi stage: ITER: 81943 RES: 2.4692e-06
Jacobi stage: ITER: 82279 RES: 2.345e-06
Jacobi stage: ITER: 82615 RES: 2.2271e-06
Jacobi stage: ITER: 82953 RES: 2.1137e-06
Jacobi stage: ITER: 83289 RES: 2.0074e-06
Jacobi stage: ITER: 83625 RES: 1.9064e-06
Jacobi stage: ITER: 83961 RES: 1.8105e-06
Jacobi stage: ITER: 84299 RES: 1.7195e-06
Jacobi stage: ITER: 84635 RES: 1.633e-06
Jacobi stage: ITER: 84971 RES: 1.5508e-06
Jacobi stage: ITER: 85307 RES: 1.4728e-06
Jacobi stage: ITER: 85643 RES: 1.3987e-06
Jacobi stage: ITER: 85979 RES: 1.3284e-06
Jacobi stage: ITER: 86315 RES: 1.2616e-06
Jacobi stage: ITER: 86651 RES: 1.1981e-06
Jacobi stage: ITER: 86989 RES: 1.1371e-06
Jacobi stage: ITER: 87325 RES: 1.0799e-06
Jacobi stage: ITER: 87661 RES: 1.0256e-06
Vector x = [ 0.999999, 0.999999, 0.999998, 0.999999, 0.999999 ]
The following example shows how to employ timer (TNL::Timer) to the monitor of iterative solvers:
1#include <iostream>
2#include <memory>
3#include <chrono>
4#include <thread>
5#include <TNL/Timer.h>
6#include <TNL/Matrices/SparseMatrix.h>
7#include <TNL/Devices/Sequential.h>
8#include <TNL/Devices/Cuda.h>
9#include <TNL/Solvers/Linear/Jacobi.h>
10
11template< typename Device >
12void
13iterativeLinearSolverExample()
14{
15
16
17
18
19
20
21
22
23
26 const int size( 5 );
28 matrix_ptr->setDimensions( size, size );
29 matrix_ptr->setRowCapacities( Vector( { 2, 3, 3, 3, 2 } ) );
30
32 {
33 const int rowIdx = row.getRowIndex();
34 if( rowIdx == 0 ) {
35 row.setElement( 0, rowIdx, 2.5 );
36 row.setElement( 1, rowIdx + 1, -1 );
37 }
38 else if( rowIdx == size - 1 ) {
39 row.setElement( 0, rowIdx - 1, -1.0 );
40 row.setElement( 1, rowIdx, 2.5 );
41 }
42 else {
43 row.setElement( 0, rowIdx - 1, -1.0 );
44 row.setElement( 1, rowIdx, 2.5 );
45 row.setElement( 2, rowIdx + 1, -1.0 );
46 }
47 };
48
49
50
51
52 matrix_ptr->forAllRows( f );
54
55
56
57
58 Vector x( size, 1.0 );
59 Vector b( size );
60 matrix_ptr->vectorProduct( x, b );
61 x = 0.0;
63
64
65
66
68 LinearSolver solver;
70 solver.setOmega( 0.0005 );
71
72
73
74
76 IterativeSolverMonitorType monitor;
78 monitor.setRefreshRate( 10 );
79 monitor.setVerbose( 1 );
80 monitor.setStage( "Jacobi stage:" );
82 monitor.setTimer( timer );
84 solver.setSolverMonitor( monitor );
85 solver.setConvergenceResidue( 1.0e-6 );
86 solver.solve( b, x );
87 monitor.stopMainLoop();
89}
90
91int
92main( int argc, char* argv[] )
93{
95 iterativeLinearSolverExample< TNL::Devices::Sequential >();
96
97#ifdef __CUDACC__
99 iterativeLinearSolverExample< TNL::Devices::Cuda >();
100#endif
101}
Class for real time, CPU time and CPU cycles measuring.
Definition Timer.h:25
void start()
Starts timer.
Definition Timer.hpp:42
The result looks as follows:
Solving linear system on host:
Row: 0 -> 0:2.5 1:-1
Row: 1 -> 0:-1 1:2.5 2:-1
Row: 2 -> 1:-1 2:2.5 3:-1
Row: 3 -> 2:-1 3:2.5 4:-1
Row: 4 -> 3:-1 4:2.5
Vector b = [ 1.5, 0.5, 0.5, 0.5, 1.5 ]
ELA:3.4642e-
ELA: 0.10014 Jacobi stage: ITER: 34949 RES: 0.0033676
ELA: 0.20023 Jacobi stage: ITER: 69855 RES: 1.581e-05
Vector x = [ 0.999999, 0.999999, 0.999998, 0.999999, 0.999999 ]
Solving linear system on CUDA device:
Row: 0 -> 0:2.5 1:-1
Row: 1 -> 0:-1 1:2.5 2:-1
Row: 2 -> 1:-1 2:2.5 3:-1
Row: 3 -> 2:-1 3:2.5 4:-1
Row: 4 -> 3:-1 4:2.5
Vector b = [ 1.5, 0.5, 0.5, 0.5, 1.5 ]
ELA:9.799e-0
ELA: 0.10009 Jacobi stage: ITER: 499 RES: 0.85129
ELA: 0.20018 Jacobi stage: ITER: 857 RES: 0.76724
ELA: 0.30028 Jacobi stage: ITER: 1189 RES: 0.70279
ELA: 0.40037 Jacobi stage: ITER: 1521 RES: 0.64802
ELA: 0.50046 Jacobi stage: ITER: 1853 RES: 0.60087
ELA: 0.60054 Jacobi stage: ITER: 2187 RES: 0.55973
ELA: 0.70063 Jacobi stage: ITER: 2519 RES: 0.52341
ELA: 0.80067 Jacobi stage: ITER: 2851 RES: 0.49098
ELA: 0.90076 Jacobi stage: ITER: 3183 RES: 0.46174
ELA: 1.0009 Jacobi stage: ITER: 3515 RES: 0.43514
ELA: 1.1009 Jacobi stage: ITER: 3851 RES: 0.41048
ELA: 1.2011 Jacobi stage: ITER: 4173 RES: 0.38852
ELA: 1.3012 Jacobi stage: ITER: 4513 RES: 0.36715
ELA: 1.4013 Jacobi stage: ITER: 4845 RES: 0.34772
ELA: 1.5014 Jacobi stage: ITER: 5157 RES: 0.3306
ELA: 1.6015 Jacobi stage: ITER: 5497 RES: 0.31308
ELA: 1.7016 Jacobi stage: ITER: 5835 RES: 0.29682
ELA: 1.8017 Jacobi stage: ITER: 6177 RES: 0.28114
ELA: 1.9019 Jacobi stage: ITER: 6519 RES: 0.26655
ELA: 2.002 Jacobi stage: ITER: 6779 RES: 0.25594
ELA: 2.1021 Jacobi stage: ITER: 7083 RES: 0.2441
ELA: 2.2022 Jacobi stage: ITER: 7415 RES: 0.23183
ELA: 2.3023 Jacobi stage: ITER: 7755 RES: 0.21993
ELA: 2.4024 Jacobi stage: ITER: 8095 RES: 0.20866
ELA: 2.5026 Jacobi stage: ITER: 8435 RES: 0.19799
ELA: 2.6027 Jacobi stage: ITER: 8769 RES: 0.18798
ELA: 2.7028 Jacobi stage: ITER: 9059 RES: 0.17982
ELA: 2.8029 Jacobi stage: ITER: 9373 RES: 0.17128
ELA: 2.903 Jacobi stage: ITER: 9707 RES: 0.16274
ELA: 3.0031 Jacobi stage: ITER: 10041 RES: 0.15454
ELA: 3.1032 Jacobi stage: ITER: 10379 RES: 0.14676
ELA: 3.2033 Jacobi stage: ITER: 10723 RES: 0.1392
ELA: 3.3034 Jacobi stage: ITER: 11051 RES: 0.13235
ELA: 3.4035 Jacobi stage: ITER: 11321 RES: 0.12693
ELA: 3.5036 Jacobi stage: ITER: 11639 RES: 0.12091
ELA: 3.6037 Jacobi stage: ITER: 11979 RES: 0.11476
ELA: 3.7038 Jacobi stage: ITER: 12319 RES: 0.10892
ELA: 3.8039 Jacobi stage: ITER: 12659 RES: 0.10337
ELA: 3.904 Jacobi stage: ITER: 12999 RES: 0.098111
ELA: 4.0041 Jacobi stage: ITER: 13323 RES: 0.093347
ELA: 4.1042 Jacobi stage: ITER: 13603 RES: 0.089417
ELA: 4.2043 Jacobi stage: ITER: 13933 RES: 0.084971
ELA: 4.3044 Jacobi stage: ITER: 14259 RES: 0.080845
ELA: 4.4045 Jacobi stage: ITER: 14599 RES: 0.076731
ELA: 4.5046 Jacobi stage: ITER: 14939 RES: 0.072826
ELA: 4.6047 Jacobi stage: ITER: 15269 RES: 0.069206
ELA: 4.7048 Jacobi stage: ITER: 15607 RES: 0.065724
ELA: 4.8049 Jacobi stage: ITER: 15925 RES: 0.062572
ELA: 4.905 Jacobi stage: ITER: 16253 RES: 0.059497
ELA: 5.0051 Jacobi stage: ITER: 16537 RES: 0.056958
ELA: 5.1052 Jacobi stage: ITER: 16855 RES: 0.054259
ELA: 5.2053 Jacobi stage: ITER: 17191 RES: 0.05153
ELA: 5.3054 Jacobi stage: ITER: 17529 RES: 0.048908
ELA: 5.4054 Jacobi stage: ITER: 17867 RES: 0.046448
ELA: 5.5055 Jacobi stage: ITER: 18211 RES: 0.044057
ELA: 5.6057 Jacobi stage: ITER: 18533 RES: 0.041918
ELA: 5.7058 Jacobi stage: ITER: 18871 RES: 0.03981
ELA: 5.8059 Jacobi stage: ITER: 19091 RES: 0.038487
ELA: 5.906 Jacobi stage: ITER: 19421 RES: 0.036573
ELA: 6.0061 Jacobi stage: ITER: 19757 RES: 0.034734
ELA: 6.1062 Jacobi stage: ITER: 20097 RES: 0.032966
ELA: 6.2063 Jacobi stage: ITER: 20439 RES: 0.031289
ELA: 6.3064 Jacobi stage: ITER: 20721 RES: 0.029953
ELA: 6.4065 Jacobi stage: ITER: 21039 RES: 0.028534
ELA: 6.5066 Jacobi stage: ITER: 21375 RES: 0.027099
ELA: 6.6066 Jacobi stage: ITER: 21711 RES: 0.025736
ELA: 6.7067 Jacobi stage: ITER: 22049 RES: 0.024426
ELA: 6.8068 Jacobi stage: ITER: 22385 RES: 0.023197
ELA: 6.9069 Jacobi stage: ITER: 22721 RES: 0.022031
ELA: 7.007 Jacobi stage: ITER: 23057 RES: 0.020922
ELA: 7.1071 Jacobi stage: ITER: 23393 RES: 0.01987
ELA: 7.2072 Jacobi stage: ITER: 23729 RES: 0.018871
ELA: 7.3073 Jacobi stage: ITER: 24065 RES: 0.017921
ELA: 7.4074 Jacobi stage: ITER: 24401 RES: 0.01702
ELA: 7.5075 Jacobi stage: ITER: 24737 RES: 0.016164
ELA: 7.6077 Jacobi stage: ITER: 25073 RES: 0.015351
ELA: 7.7078 Jacobi stage: ITER: 25411 RES: 0.014579
ELA: 7.8097 Jacobi stage: ITER: 25751 RES: 0.013837
ELA: 7.9098 Jacobi stage: ITER: 26087 RES: 0.013141
ELA: 8.0099 Jacobi stage: ITER: 26425 RES: 0.012472
ELA: 8.1107 Jacobi stage: ITER: 26763 RES: 0.011845
ELA: 8.2108 Jacobi stage: ITER: 27099 RES: 0.011249
ELA: 8.3109 Jacobi stage: ITER: 27435 RES: 0.010683
ELA: 8.4117 Jacobi stage: ITER: 27775 RES: 0.010139
ELA: 8.5118 Jacobi stage: ITER: 28111 RES: 0.0096295
ELA: 8.6119 Jacobi stage: ITER: 28447 RES: 0.0091451
ELA: 8.712 Jacobi stage: ITER: 28783 RES: 0.0086851
ELA: 8.8137 Jacobi stage: ITER: 29125 RES: 0.0082381
ELA: 8.9138 Jacobi stage: ITER: 29461 RES: 0.0078237
ELA: 9.0139 Jacobi stage: ITER: 29797 RES: 0.0074302
ELA: 9.1147 Jacobi stage: ITER: 30135 RES: 0.0070564
ELA: 9.2148 Jacobi stage: ITER: 30471 RES: 0.0067015
ELA: 9.3149 Jacobi stage: ITER: 30809 RES: 0.0063605
ELA: 9.415 Jacobi stage: ITER: 31145 RES: 0.0060405
ELA: 9.5151 Jacobi stage: ITER: 31481 RES: 0.0057367
ELA: 9.6152 Jacobi stage: ITER: 31817 RES: 0.0054481
ELA: 9.7153 Jacobi stage: ITER: 32153 RES: 0.0051741
ELA: 9.8154 Jacobi stage: ITER: 32491 RES: 0.0049138
ELA: 9.9155 Jacobi stage: ITER: 32827 RES: 0.0046666
ELA: 10.016 Jacobi stage: ITER: 33163 RES: 0.0044319
ELA: 10.116 Jacobi stage: ITER: 33499 RES: 0.004209
ELA: 10.216 Jacobi stage: ITER: 33835 RES: 0.0039973
ELA: 10.316 Jacobi stage: ITER: 34171 RES: 0.0037962
ELA: 10.416 Jacobi stage: ITER: 34507 RES: 0.0036052
ELA: 10.516 Jacobi stage: ITER: 34845 RES: 0.0034218
ELA: 10.616 Jacobi stage: ITER: 35181 RES: 0.0032497
ELA: 10.716 Jacobi stage: ITER: 35517 RES: 0.0030862
ELA: 10.816 Jacobi stage: ITER: 35853 RES: 0.002931
ELA: 10.916 Jacobi stage: ITER: 36189 RES: 0.0027835
ELA: 11.017 Jacobi stage: ITER: 36525 RES: 0.0026435
ELA: 11.117 Jacobi stage: ITER: 36863 RES: 0.0025106
ELA: 11.217 Jacobi stage: ITER: 37199 RES: 0.0023843
ELA: 11.317 Jacobi stage: ITER: 37535 RES: 0.0022643
ELA: 11.417 Jacobi stage: ITER: 37871 RES: 0.0021504
ELA: 11.517 Jacobi stage: ITER: 38207 RES: 0.0020423
ELA: 11.617 Jacobi stage: ITER: 38543 RES: 0.0019395
ELA: 11.717 Jacobi stage: ITER: 38879 RES: 0.001842
ELA: 11.817 Jacobi stage: ITER: 39215 RES: 0.0017493
ELA: 11.918 Jacobi stage: ITER: 39551 RES: 0.0016613
ELA: 12.018 Jacobi stage: ITER: 39887 RES: 0.0015778
ELA: 12.118 Jacobi stage: ITER: 40223 RES: 0.0014984
ELA: 12.218 Jacobi stage: ITER: 40561 RES: 0.0014222
ELA: 12.318 Jacobi stage: ITER: 40897 RES: 0.0013506
ELA: 12.418 Jacobi stage: ITER: 41233 RES: 0.0012827
ELA: 12.518 Jacobi stage: ITER: 41569 RES: 0.0012182
ELA: 12.618 Jacobi stage: ITER: 41905 RES: 0.0011569
ELA: 12.719 Jacobi stage: ITER: 42243 RES: 0.0010987
ELA: 12.819 Jacobi stage: ITER: 42579 RES: 0.0010434
ELA: 12.919 Jacobi stage: ITER: 42915 RES: 0.00099095
ELA: 13.019 Jacobi stage: ITER: 43251 RES: 0.0009411
ELA: 13.119 Jacobi stage: ITER: 43587 RES: 0.00089377
ELA: 13.219 Jacobi stage: ITER: 43923 RES: 0.00084881
ELA: 13.319 Jacobi stage: ITER: 44259 RES: 0.00080611
ELA: 13.419 Jacobi stage: ITER: 44595 RES: 0.00076556
ELA: 13.519 Jacobi stage: ITER: 44931 RES: 0.00072706
ELA: 13.62 Jacobi stage: ITER: 45269 RES: 0.00069006
ELA: 13.72 Jacobi stage: ITER: 45605 RES: 0.00065535
ELA: 13.82 Jacobi stage: ITER: 45941 RES: 0.00062238
ELA: 13.92 Jacobi stage: ITER: 46277 RES: 0.00059108
ELA: 14.02 Jacobi stage: ITER: 46613 RES: 0.00056135
ELA: 14.12 Jacobi stage: ITER: 46949 RES: 0.00053311
ELA: 14.22 Jacobi stage: ITER: 47287 RES: 0.00050629
ELA: 14.32 Jacobi stage: ITER: 47623 RES: 0.00048083
ELA: 14.42 Jacobi stage: ITER: 47959 RES: 0.00045664
ELA: 14.521 Jacobi stage: ITER: 48295 RES: 0.00043367
ELA: 14.621 Jacobi stage: ITER: 48631 RES: 0.00041186
ELA: 14.721 Jacobi stage: ITER: 48967 RES: 0.00039114
ELA: 14.821 Jacobi stage: ITER: 49303 RES: 0.00037147
ELA: 14.921 Jacobi stage: ITER: 49639 RES: 0.00035278
ELA: 15.021 Jacobi stage: ITER: 49975 RES: 0.00033504
ELA: 15.121 Jacobi stage: ITER: 50311 RES: 0.00031818
ELA: 15.221 Jacobi stage: ITER: 50647 RES: 0.00030218
ELA: 15.321 Jacobi stage: ITER: 50983 RES: 0.00028698
ELA: 15.421 Jacobi stage: ITER: 51319 RES: 0.00027254
ELA: 15.522 Jacobi stage: ITER: 51655 RES: 0.00025883
ELA: 15.622 Jacobi stage: ITER: 51991 RES: 0.00024581
ELA: 15.722 Jacobi stage: ITER: 52329 RES: 0.00023331
ELA: 15.822 Jacobi stage: ITER: 52665 RES: 0.00022157
ELA: 15.922 Jacobi stage: ITER: 53001 RES: 0.00021043
ELA: 16.022 Jacobi stage: ITER: 53337 RES: 0.00019984
ELA: 16.122 Jacobi stage: ITER: 53673 RES: 0.00018979
ELA: 16.222 Jacobi stage: ITER: 54011 RES: 0.00018024
ELA: 16.322 Jacobi stage: ITER: 54347 RES: 0.00017118
ELA: 16.423 Jacobi stage: ITER: 54683 RES: 0.00016257
ELA: 16.523 Jacobi stage: ITER: 55019 RES: 0.00015439
ELA: 16.623 Jacobi stage: ITER: 55355 RES: 0.00014662
ELA: 16.723 Jacobi stage: ITER: 55691 RES: 0.00013925
ELA: 16.823 Jacobi stage: ITER: 56027 RES: 0.00013224
ELA: 16.923 Jacobi stage: ITER: 56363 RES: 0.00012559
ELA: 17.023 Jacobi stage: ITER: 56699 RES: 0.00011927
ELA: 17.123 Jacobi stage: ITER: 57035 RES: 0.00011327
ELA: 17.223 Jacobi stage: ITER: 57371 RES: 0.00010758
ELA: 17.324 Jacobi stage: ITER: 57707 RES: 0.00010216
ELA: 17.424 Jacobi stage: ITER: 58045 RES: 9.6966e-05
ELA: 17.524 Jacobi stage: ITER: 58381 RES: 9.2089e-05
ELA: 17.624 Jacobi stage: ITER: 58717 RES: 8.7457e-05
ELA: 17.724 Jacobi stage: ITER: 59053 RES: 8.3057e-05
ELA: 17.824 Jacobi stage: ITER: 59389 RES: 7.888e-05
ELA: 17.924 Jacobi stage: ITER: 59725 RES: 7.4912e-05
ELA: 18.024 Jacobi stage: ITER: 60063 RES: 7.1144e-05
ELA: 18.124 Jacobi stage: ITER: 60399 RES: 6.7565e-05
ELA: 18.225 Jacobi stage: ITER: 60735 RES: 6.4167e-05
ELA: 18.325 Jacobi stage: ITER: 61071 RES: 6.0939e-05
ELA: 18.425 Jacobi stage: ITER: 61407 RES: 5.7874e-05
ELA: 18.525 Jacobi stage: ITER: 61743 RES: 5.4963e-05
ELA: 18.625 Jacobi stage: ITER: 62079 RES: 5.2198e-05
ELA: 18.725 Jacobi stage: ITER: 62415 RES: 4.9572e-05
ELA: 18.825 Jacobi stage: ITER: 62751 RES: 4.7079e-05
ELA: 18.925 Jacobi stage: ITER: 63087 RES: 4.4711e-05
ELA: 19.025 Jacobi stage: ITER: 63423 RES: 4.2462e-05
ELA: 19.126 Jacobi stage: ITER: 63759 RES: 4.0326e-05
ELA: 19.226 Jacobi stage: ITER: 64097 RES: 3.8274e-05
ELA: 19.326 Jacobi stage: ITER: 64433 RES: 3.6349e-05
ELA: 19.426 Jacobi stage: ITER: 64769 RES: 3.452e-05
ELA: 19.526 Jacobi stage: ITER: 65107 RES: 3.2784e-05
ELA: 19.626 Jacobi stage: ITER: 65443 RES: 3.1135e-05
ELA: 19.726 Jacobi stage: ITER: 65779 RES: 2.9569e-05
ELA: 19.826 Jacobi stage: ITER: 66115 RES: 2.8081e-05
ELA: 19.927 Jacobi stage: ITER: 66451 RES: 2.6669e-05
ELA: 20.027 Jacobi stage: ITER: 66787 RES: 2.5327e-05
ELA: 20.127 Jacobi stage: ITER: 67123 RES: 2.4053e-05
ELA: 20.227 Jacobi stage: ITER: 67459 RES: 2.2843e-05
ELA: 20.327 Jacobi stage: ITER: 67795 RES: 2.1694e-05
ELA: 20.427 Jacobi stage: ITER: 68131 RES: 2.0603e-05
ELA: 20.527 Jacobi stage: ITER: 68467 RES: 1.9567e-05
ELA: 20.627 Jacobi stage: ITER: 68803 RES: 1.8583e-05
ELA: 20.727 Jacobi stage: ITER: 69141 RES: 1.7637e-05
ELA: 20.827 Jacobi stage: ITER: 69477 RES: 1.675e-05
ELA: 20.928 Jacobi stage: ITER: 69813 RES: 1.5907e-05
ELA: 21.028 Jacobi stage: ITER: 70149 RES: 1.5107e-05
ELA: 21.128 Jacobi stage: ITER: 70485 RES: 1.4347e-05
ELA: 21.228 Jacobi stage: ITER: 70823 RES: 1.3626e-05
ELA: 21.328 Jacobi stage: ITER: 71159 RES: 1.294e-05
ELA: 21.428 Jacobi stage: ITER: 71495 RES: 1.2289e-05
ELA: 21.528 Jacobi stage: ITER: 71831 RES: 1.1671e-05
ELA: 21.628 Jacobi stage: ITER: 72167 RES: 1.1084e-05
ELA: 21.728 Jacobi stage: ITER: 72503 RES: 1.0527e-05
ELA: 21.829 Jacobi stage: ITER: 72839 RES: 9.997e-06
ELA: 21.929 Jacobi stage: ITER: 73175 RES: 9.4942e-06
ELA: 22.029 Jacobi stage: ITER: 73511 RES: 9.0166e-06
ELA: 22.129 Jacobi stage: ITER: 73847 RES: 8.5631e-06
ELA: 22.229 Jacobi stage: ITER: 74183 RES: 8.1323e-06
ELA: 22.329 Jacobi stage: ITER: 74521 RES: 7.7185e-06
ELA: 22.429 Jacobi stage: ITER: 74857 RES: 7.3303e-06
ELA: 22.529 Jacobi stage: ITER: 75195 RES: 6.9616e-06
ELA: 22.629 Jacobi stage: ITER: 75531 RES: 6.6114e-06
ELA: 22.729 Jacobi stage: ITER: 75867 RES: 6.2788e-06
ELA: 22.83 Jacobi stage: ITER: 76203 RES: 5.963e-06
ELA: 22.93 Jacobi stage: ITER: 76539 RES: 5.663e-06
ELA: 23.03 Jacobi stage: ITER: 76875 RES: 5.3782e-06
ELA: 23.13 Jacobi stage: ITER: 77211 RES: 5.1077e-06
ELA: 23.23 Jacobi stage: ITER: 77547 RES: 4.8507e-06
ELA: 23.33 Jacobi stage: ITER: 77885 RES: 4.6039e-06
ELA: 23.43 Jacobi stage: ITER: 78221 RES: 4.3723e-06
ELA: 23.53 Jacobi stage: ITER: 78557 RES: 4.1524e-06
ELA: 23.63 Jacobi stage: ITER: 78893 RES: 3.9435e-06
ELA: 23.731 Jacobi stage: ITER: 79231 RES: 3.7452e-06
ELA: 23.831 Jacobi stage: ITER: 79567 RES: 3.5568e-06
ELA: 23.931 Jacobi stage: ITER: 79903 RES: 3.3779e-06
ELA: 24.031 Jacobi stage: ITER: 80239 RES: 3.208e-06
ELA: 24.131 Jacobi stage: ITER: 80575 RES: 3.0466e-06
ELA: 24.231 Jacobi stage: ITER: 80911 RES: 2.8934e-06
ELA: 24.331 Jacobi stage: ITER: 81247 RES: 2.7478e-06
ELA: 24.431 Jacobi stage: ITER: 81583 RES: 2.6096e-06
ELA: 24.531 Jacobi stage: ITER: 81921 RES: 2.4768e-06
ELA: 24.632 Jacobi stage: ITER: 82257 RES: 2.3522e-06
ELA: 24.732 Jacobi stage: ITER: 82593 RES: 2.2339e-06
ELA: 24.832 Jacobi stage: ITER: 82931 RES: 2.1215e-06
ELA: 24.932 Jacobi stage: ITER: 83267 RES: 2.0148e-06
ELA: 25.032 Jacobi stage: ITER: 83603 RES: 1.9135e-06
ELA: 25.132 Jacobi stage: ITER: 83939 RES: 1.8172e-06
ELA: 25.232 Jacobi stage: ITER: 84275 RES: 1.7258e-06
ELA: 25.332 Jacobi stage: ITER: 84611 RES: 1.639e-06
ELA: 25.432 Jacobi stage: ITER: 84947 RES: 1.5566e-06
ELA: 25.533 Jacobi stage: ITER: 85283 RES: 1.4783e-06
ELA: 25.633 Jacobi stage: ITER: 85619 RES: 1.4039e-06
ELA: 25.733 Jacobi stage: ITER: 85957 RES: 1.3325e-06
ELA: 25.833 Jacobi stage: ITER: 86293 RES: 1.2654e-06
ELA: 25.933 Jacobi stage: ITER: 86629 RES: 1.2018e-06
ELA: 26.033 Jacobi stage: ITER: 87095 RES: 1.1191e-06
ELA: 26.133 Jacobi stage: ITER: 87603 RES: 1.0351e-06
Vector x = [ 0.999999, 0.999999, 0.999998, 0.999999, 0.999999 ]