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:
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>
10template<
typename Device >
12iterativeLinearSolverExample()
27 matrix_ptr->setDimensions( size, size );
28 matrix_ptr->setRowCapacities( Vector( { 2, 3, 3, 3, 2 } ) );
32 const int rowIdx = row.getRowIndex();
34 row.setElement( 0, rowIdx, 2.5 );
35 row.setElement( 1, rowIdx + 1, -1 );
37 else if( rowIdx == size - 1 ) {
38 row.setElement( 0, rowIdx - 1, -1.0 );
39 row.setElement( 1, rowIdx, 2.5 );
42 row.setElement( 0, rowIdx - 1, -1.0 );
43 row.setElement( 1, rowIdx, 2.5 );
44 row.setElement( 2, rowIdx + 1, -1.0 );
51 matrix_ptr->forAllRows( f );
57 Vector x( size, 1.0 );
59 matrix_ptr->vectorProduct( x, b );
69 solver.setOmega( 0.0005 );
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 );
83 monitor.stopMainLoop();
88main(
int argc,
char* argv[] )
91 iterativeLinearSolverExample< TNL::Devices::Sequential >();
95 iterativeLinearSolverExample< TNL::Devices::Cuda >();
#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:57
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: 40067 RES: 0.0015338
Jacobi stage: ITER: 81289 RES: 2.7293e-06
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: 4255 RES: 0.38335
Jacobi stage: ITER: 8953 RES: 0.18273
Jacobi stage: ITER: 10329 RES: 0.14784
Jacobi stage: ITER: 11123 RES: 0.13089
Jacobi stage: ITER: 11707 RES: 0.11966
Jacobi stage: ITER: 12317 RES: 0.10892
Jacobi stage: ITER: 12939 RES: 0.09902
Jacobi stage: ITER: 13555 RES: 0.090079
Jacobi stage: ITER: 14189 RES: 0.081694
Jacobi stage: ITER: 14813 RES: 0.074227
Jacobi stage: ITER: 15429 RES: 0.067525
Jacobi stage: ITER: 16055 RES: 0.061354
Jacobi stage: ITER: 16689 RES: 0.055643
Jacobi stage: ITER: 17303 RES: 0.050651
Jacobi stage: ITER: 17933 RES: 0.045965
Jacobi stage: ITER: 18565 RES: 0.041713
Jacobi stage: ITER: 19165 RES: 0.03804
Jacobi stage: ITER: 19809 RES: 0.034457
Jacobi stage: ITER: 20443 RES: 0.03127
Jacobi stage: ITER: 21075 RES: 0.028377
Jacobi stage: ITER: 21669 RES: 0.025894
Jacobi stage: ITER: 22273 RES: 0.0236
Jacobi stage: ITER: 22923 RES: 0.021364
Jacobi stage: ITER: 23575 RES: 0.019328
Jacobi stage: ITER: 24227 RES: 0.017486
Jacobi stage: ITER: 24879 RES: 0.01582
Jacobi stage: ITER: 25529 RES: 0.014312
Jacobi stage: ITER: 26179 RES: 0.012948
Jacobi stage: ITER: 26831 RES: 0.011722
Jacobi stage: ITER: 27483 RES: 0.010605
Jacobi stage: ITER: 28133 RES: 0.009594
Jacobi stage: ITER: 28785 RES: 0.0086797
Jacobi stage: ITER: 29435 RES: 0.0078574
Jacobi stage: ITER: 30087 RES: 0.0071086
Jacobi stage: ITER: 30739 RES: 0.0064312
Jacobi stage: ITER: 31391 RES: 0.0058183
Jacobi stage: ITER: 32041 RES: 0.0052639
Jacobi stage: ITER: 32691 RES: 0.0047652
Jacobi stage: ITER: 33337 RES: 0.0043137
Jacobi stage: ITER: 33983 RES: 0.0039074
Jacobi stage: ITER: 34629 RES: 0.0035372
Jacobi stage: ITER: 35275 RES: 0.0032041
Jacobi stage: ITER: 35921 RES: 0.0029005
Jacobi stage: ITER: 36567 RES: 0.0026273
Jacobi stage: ITER: 37215 RES: 0.0023784
Jacobi stage: ITER: 37861 RES: 0.0021531
Jacobi stage: ITER: 38507 RES: 0.0019503
Jacobi stage: ITER: 39155 RES: 0.0017655
Jacobi stage: ITER: 39801 RES: 0.0015983
Jacobi stage: ITER: 40447 RES: 0.0014477
Jacobi stage: ITER: 41095 RES: 0.0013106
Jacobi stage: ITER: 41741 RES: 0.0011864
Jacobi stage: ITER: 42387 RES: 0.0010747
Jacobi stage: ITER: 43035 RES: 0.00097285
Jacobi stage: ITER: 43681 RES: 0.00088068
Jacobi stage: ITER: 44327 RES: 0.00079774
Jacobi stage: ITER: 44973 RES: 0.00072216
Jacobi stage: ITER: 45619 RES: 0.00065414
Jacobi stage: ITER: 46265 RES: 0.00059217
Jacobi stage: ITER: 46911 RES: 0.0005364
Jacobi stage: ITER: 47561 RES: 0.00048528
Jacobi stage: ITER: 48213 RES: 0.00043903
Jacobi stage: ITER: 48865 RES: 0.00039719
Jacobi stage: ITER: 49515 RES: 0.00035956
Jacobi stage: ITER: 50167 RES: 0.0003253
Jacobi stage: ITER: 50819 RES: 0.0002943
Jacobi stage: ITER: 51471 RES: 0.00026625
Jacobi stage: ITER: 52123 RES: 0.00024088
Jacobi stage: ITER: 52775 RES: 0.00021793
Jacobi stage: ITER: 53425 RES: 0.00019716
Jacobi stage: ITER: 54079 RES: 0.00017837
Jacobi stage: ITER: 54729 RES: 0.00016137
Jacobi stage: ITER: 55381 RES: 0.00014599
Jacobi stage: ITER: 56031 RES: 0.00013216
Jacobi stage: ITER: 56683 RES: 0.00011957
Jacobi stage: ITER: 57335 RES: 0.00010817
Jacobi stage: ITER: 57987 RES: 9.7864e-05
Jacobi stage: ITER: 58639 RES: 8.8538e-05
Jacobi stage: ITER: 59293 RES: 8.0051e-05
Jacobi stage: ITER: 59945 RES: 7.2423e-05
Jacobi stage: ITER: 60597 RES: 6.5521e-05
Jacobi stage: ITER: 61249 RES: 5.9277e-05
Jacobi stage: ITER: 61899 RES: 5.3661e-05
Jacobi stage: ITER: 62551 RES: 4.8547e-05
Jacobi stage: ITER: 63203 RES: 4.3921e-05
Jacobi stage: ITER: 63855 RES: 3.9736e-05
Jacobi stage: ITER: 64509 RES: 3.5927e-05
Jacobi stage: ITER: 65161 RES: 3.2503e-05
Jacobi stage: ITER: 65813 RES: 2.9406e-05
Jacobi stage: ITER: 66465 RES: 2.6603e-05
Jacobi stage: ITER: 67117 RES: 2.4068e-05
Jacobi stage: ITER: 67769 RES: 2.1775e-05
Jacobi stage: ITER: 68421 RES: 1.9699e-05
Jacobi stage: ITER: 69075 RES: 1.7822e-05
Jacobi stage: ITER: 69727 RES: 1.6124e-05
Jacobi stage: ITER: 70373 RES: 1.4596e-05
Jacobi stage: ITER: 71019 RES: 1.3221e-05
Jacobi stage: ITER: 71667 RES: 1.1969e-05
Jacobi stage: ITER: 72313 RES: 1.0835e-05
Jacobi stage: ITER: 72959 RES: 9.8144e-06
Jacobi stage: ITER: 73605 RES: 8.8846e-06
Jacobi stage: ITER: 74251 RES: 8.0478e-06
Jacobi stage: ITER: 74899 RES: 7.2854e-06
Jacobi stage: ITER: 75547 RES: 6.5952e-06
Jacobi stage: ITER: 76193 RES: 5.9703e-06
Jacobi stage: ITER: 76839 RES: 5.408e-06
Jacobi stage: ITER: 77489 RES: 4.8926e-06
Jacobi stage: ITER: 78141 RES: 4.4264e-06
Jacobi stage: ITER: 78795 RES: 4.0046e-06
Jacobi stage: ITER: 79445 RES: 3.6229e-06
Jacobi stage: ITER: 80099 RES: 3.2777e-06
Jacobi stage: ITER: 80751 RES: 2.9653e-06
Jacobi stage: ITER: 81403 RES: 2.6828e-06
Jacobi stage: ITER: 82055 RES: 2.4271e-06
Jacobi stage: ITER: 82707 RES: 2.1958e-06
Jacobi stage: ITER: 83359 RES: 1.9865e-06
Jacobi stage: ITER: 84011 RES: 1.7972e-06
Jacobi stage: ITER: 84663 RES: 1.626e-06
Jacobi stage: ITER: 85315 RES: 1.471e-06
Jacobi stage: ITER: 85967 RES: 1.3308e-06
Jacobi stage: ITER: 86619 RES: 1.204e-06
Jacobi stage: ITER: 87271 RES: 1.0893e-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:
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>
11template<
typename Device >
13iterativeLinearSolverExample()
28 matrix_ptr->setDimensions( size, size );
29 matrix_ptr->setRowCapacities( Vector( { 2, 3, 3, 3, 2 } ) );
33 const int rowIdx = row.getRowIndex();
35 row.setElement( 0, rowIdx, 2.5 );
36 row.setElement( 1, rowIdx + 1, -1 );
38 else if( rowIdx == size - 1 ) {
39 row.setElement( 0, rowIdx - 1, -1.0 );
40 row.setElement( 1, rowIdx, 2.5 );
43 row.setElement( 0, rowIdx - 1, -1.0 );
44 row.setElement( 1, rowIdx, 2.5 );
45 row.setElement( 2, rowIdx + 1, -1.0 );
52 matrix_ptr->forAllRows( f );
58 Vector x( size, 1.0 );
60 matrix_ptr->vectorProduct( x, b );
70 solver.setOmega( 0.0005 );
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 );
87 monitor.stopMainLoop();
92main(
int argc,
char* argv[] )
95 iterativeLinearSolverExample< TNL::Devices::Sequential >();
99 iterativeLinearSolverExample< TNL::Devices::Cuda >();
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:4.651e-0
ELA: 0.1001 Jacobi stage: ITER: 41375 RES: 0.0012546
ELA: 0.20022 Jacobi stage: ITER: 81273 RES: 2.736e-06
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:2.8301e-
ELA: 0.10013 Jacobi stage: ITER: 735 RES: 0.79433
ELA: 0.20023 Jacobi stage: ITER: 1511 RES: 0.64986
ELA: 0.30034 Jacobi stage: ITER: 2097 RES: 0.57012
ELA: 0.40045 Jacobi stage: ITER: 2711 RES: 0.50423
ELA: 0.50056 Jacobi stage: ITER: 3345 RES: 0.4483
ELA: 0.60069 Jacobi stage: ITER: 3965 RES: 0.40242
ELA: 0.70081 Jacobi stage: ITER: 4603 RES: 0.36187
ELA: 0.801 Jacobi stage: ITER: 5223 RES: 0.32722
ELA: 0.90117 Jacobi stage: ITER: 5851 RES: 0.29607
ELA: 1.0013 Jacobi stage: ITER: 6487 RES: 0.26788
ELA: 1.1014 Jacobi stage: ITER: 7119 RES: 0.24274
ELA: 1.2016 Jacobi stage: ITER: 7741 RES: 0.22034
ELA: 1.3017 Jacobi stage: ITER: 8379 RES: 0.1997
ELA: 1.4019 Jacobi stage: ITER: 9013 RES: 0.18104
ELA: 1.502 Jacobi stage: ITER: 9623 RES: 0.16486
ELA: 1.6022 Jacobi stage: ITER: 10269 RES: 0.14922
ELA: 1.7023 Jacobi stage: ITER: 10907 RES: 0.13531
ELA: 1.8024 Jacobi stage: ITER: 11535 RES: 0.12286
ELA: 1.9025 Jacobi stage: ITER: 12119 RES: 0.11232
ELA: 2.0026 Jacobi stage: ITER: 12757 RES: 0.1018
ELA: 2.1027 Jacobi stage: ITER: 13409 RES: 0.092094
ELA: 2.2028 Jacobi stage: ITER: 14059 RES: 0.083368
ELA: 2.3029 Jacobi stage: ITER: 14711 RES: 0.075422
ELA: 2.403 Jacobi stage: ITER: 15363 RES: 0.068234
ELA: 2.5031 Jacobi stage: ITER: 16013 RES: 0.061732
ELA: 2.6032 Jacobi stage: ITER: 16665 RES: 0.055849
ELA: 2.7033 Jacobi stage: ITER: 17315 RES: 0.050558
ELA: 2.8034 Jacobi stage: ITER: 17967 RES: 0.04574
ELA: 2.9035 Jacobi stage: ITER: 18619 RES: 0.041381
ELA: 3.0036 Jacobi stage: ITER: 19271 RES: 0.037437
ELA: 3.1037 Jacobi stage: ITER: 19921 RES: 0.03387
ELA: 3.2038 Jacobi stage: ITER: 20571 RES: 0.030661
ELA: 3.3039 Jacobi stage: ITER: 21223 RES: 0.027739
ELA: 3.404 Jacobi stage: ITER: 21875 RES: 0.025095
ELA: 3.5041 Jacobi stage: ITER: 22525 RES: 0.022704
ELA: 3.6042 Jacobi stage: ITER: 23175 RES: 0.020553
ELA: 3.7043 Jacobi stage: ITER: 23821 RES: 0.018606
ELA: 3.8045 Jacobi stage: ITER: 24467 RES: 0.016853
ELA: 3.9045 Jacobi stage: ITER: 25111 RES: 0.015266
ELA: 4.0046 Jacobi stage: ITER: 25759 RES: 0.01382
ELA: 4.1047 Jacobi stage: ITER: 26405 RES: 0.01251
ELA: 4.2048 Jacobi stage: ITER: 27051 RES: 0.011332
ELA: 4.3049 Jacobi stage: ITER: 27697 RES: 0.010259
ELA: 4.405 Jacobi stage: ITER: 28343 RES: 0.0092923
ELA: 4.5051 Jacobi stage: ITER: 28991 RES: 0.008412
ELA: 4.6052 Jacobi stage: ITER: 29639 RES: 0.007615
ELA: 4.7053 Jacobi stage: ITER: 30283 RES: 0.0068978
ELA: 4.8054 Jacobi stage: ITER: 30931 RES: 0.0062443
ELA: 4.9055 Jacobi stage: ITER: 31579 RES: 0.0056527
ELA: 5.0056 Jacobi stage: ITER: 32225 RES: 0.0051172
ELA: 5.1057 Jacobi stage: ITER: 32871 RES: 0.0046352
ELA: 5.2058 Jacobi stage: ITER: 33519 RES: 0.0041961
ELA: 5.3059 Jacobi stage: ITER: 34165 RES: 0.0037985
ELA: 5.406 Jacobi stage: ITER: 34811 RES: 0.0034408
ELA: 5.5061 Jacobi stage: ITER: 35457 RES: 0.0031148
ELA: 5.6062 Jacobi stage: ITER: 36103 RES: 0.0028214
ELA: 5.7063 Jacobi stage: ITER: 36749 RES: 0.0025541
ELA: 5.8064 Jacobi stage: ITER: 37395 RES: 0.0023136
ELA: 5.9065 Jacobi stage: ITER: 38047 RES: 0.0020931
ELA: 6.0066 Jacobi stage: ITER: 38699 RES: 0.0018936
ELA: 6.1067 Jacobi stage: ITER: 39351 RES: 0.0017132
ELA: 6.2068 Jacobi stage: ITER: 40001 RES: 0.0015499
ELA: 6.3069 Jacobi stage: ITER: 40653 RES: 0.0014022
ELA: 6.407 Jacobi stage: ITER: 41305 RES: 0.0012686
ELA: 6.507 Jacobi stage: ITER: 41957 RES: 0.0011477
ELA: 6.6071 Jacobi stage: ITER: 42607 RES: 0.001039
ELA: 6.7072 Jacobi stage: ITER: 43259 RES: 0.00093995
ELA: 6.8073 Jacobi stage: ITER: 43911 RES: 0.00085037
ELA: 6.9074 Jacobi stage: ITER: 44563 RES: 0.00076934
ELA: 7.0075 Jacobi stage: ITER: 45215 RES: 0.00069602
ELA: 7.1076 Jacobi stage: ITER: 45867 RES: 0.00062969
ELA: 7.2077 Jacobi stage: ITER: 46519 RES: 0.00056968
ELA: 7.3078 Jacobi stage: ITER: 47171 RES: 0.0005154
ELA: 7.4079 Jacobi stage: ITER: 47823 RES: 0.00046628
ELA: 7.508 Jacobi stage: ITER: 48475 RES: 0.00042185
ELA: 7.6081 Jacobi stage: ITER: 49127 RES: 0.00038164
ELA: 7.7082 Jacobi stage: ITER: 49779 RES: 0.00034528
ELA: 7.8082 Jacobi stage: ITER: 50431 RES: 0.00031237
ELA: 7.9083 Jacobi stage: ITER: 51083 RES: 0.0002826
ELA: 8.0084 Jacobi stage: ITER: 51735 RES: 0.00025567
ELA: 8.1085 Jacobi stage: ITER: 52387 RES: 0.00023131
ELA: 8.2086 Jacobi stage: ITER: 53039 RES: 0.00020926
ELA: 8.3087 Jacobi stage: ITER: 53691 RES: 0.00018932
ELA: 8.4088 Jacobi stage: ITER: 54343 RES: 0.00017128
ELA: 8.5089 Jacobi stage: ITER: 54995 RES: 0.00015496
ELA: 8.609 Jacobi stage: ITER: 55647 RES: 0.00014019
ELA: 8.709 Jacobi stage: ITER: 56299 RES: 0.00012683
ELA: 8.8092 Jacobi stage: ITER: 56951 RES: 0.00011474
ELA: 8.9093 Jacobi stage: ITER: 57603 RES: 0.00010381
ELA: 9.0094 Jacobi stage: ITER: 58255 RES: 9.3917e-05
ELA: 9.1095 Jacobi stage: ITER: 58907 RES: 8.4967e-05
ELA: 9.2096 Jacobi stage: ITER: 59559 RES: 7.687e-05
ELA: 9.3097 Jacobi stage: ITER: 60211 RES: 6.9545e-05
ELA: 9.4098 Jacobi stage: ITER: 60859 RES: 6.2956e-05
ELA: 9.5099 Jacobi stage: ITER: 61505 RES: 5.6991e-05
ELA: 9.61 Jacobi stage: ITER: 62151 RES: 5.1624e-05
ELA: 9.7101 Jacobi stage: ITER: 62799 RES: 4.6733e-05
ELA: 9.8102 Jacobi stage: ITER: 63445 RES: 4.2305e-05
ELA: 9.9103 Jacobi stage: ITER: 64091 RES: 3.8321e-05
ELA: 10.01 Jacobi stage: ITER: 64735 RES: 3.4712e-05
ELA: 10.111 Jacobi stage: ITER: 65383 RES: 3.1423e-05
ELA: 10.211 Jacobi stage: ITER: 66031 RES: 2.8446e-05
ELA: 10.311 Jacobi stage: ITER: 66677 RES: 2.5751e-05
ELA: 10.411 Jacobi stage: ITER: 67323 RES: 2.3326e-05
ELA: 10.511 Jacobi stage: ITER: 67975 RES: 2.1103e-05
ELA: 10.611 Jacobi stage: ITER: 68627 RES: 1.9092e-05
ELA: 10.711 Jacobi stage: ITER: 69279 RES: 1.7272e-05
ELA: 10.811 Jacobi stage: ITER: 69931 RES: 1.5626e-05
ELA: 10.911 Jacobi stage: ITER: 70583 RES: 1.4137e-05
ELA: 11.011 Jacobi stage: ITER: 71235 RES: 1.279e-05
ELA: 11.111 Jacobi stage: ITER: 71887 RES: 1.1571e-05
ELA: 11.212 Jacobi stage: ITER: 72539 RES: 1.0468e-05
ELA: 11.312 Jacobi stage: ITER: 73191 RES: 9.4709e-06
ELA: 11.412 Jacobi stage: ITER: 73843 RES: 8.5683e-06
ELA: 11.512 Jacobi stage: ITER: 74495 RES: 7.7518e-06
ELA: 11.612 Jacobi stage: ITER: 75147 RES: 7.0131e-06
ELA: 11.712 Jacobi stage: ITER: 75799 RES: 6.3447e-06
ELA: 11.812 Jacobi stage: ITER: 76453 RES: 5.7366e-06
ELA: 11.912 Jacobi stage: ITER: 77103 RES: 5.1931e-06
ELA: 12.012 Jacobi stage: ITER: 77757 RES: 4.6953e-06
ELA: 12.112 Jacobi stage: ITER: 78505 RES: 4.1857e-06
ELA: 12.212 Jacobi stage: ITER: 79497 RES: 3.5941e-06
ELA: 12.313 Jacobi stage: ITER: 80491 RES: 3.0862e-06
ELA: 12.413 Jacobi stage: ITER: 81485 RES: 2.6484e-06
ELA: 12.513 Jacobi stage: ITER: 82479 RES: 2.2741e-06
ELA: 12.613 Jacobi stage: ITER: 83475 RES: 1.9515e-06
ELA: 12.713 Jacobi stage: ITER: 84471 RES: 1.6746e-06
ELA: 12.813 Jacobi stage: ITER: 85467 RES: 1.4371e-06
ELA: 12.913 Jacobi stage: ITER: 86461 RES: 1.2332e-06
ELA: 13.013 Jacobi stage: ITER: 87481 RES: 1.0544e-06
Vector x = [ 0.999999, 0.999999, 0.999998, 0.999999, 0.999999 ]