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 >
11void iterativeLinearSolverExample()
25 auto matrix_ptr = std::make_shared< MatrixType >();
26 matrix_ptr->setDimensions( size, size );
27 matrix_ptr->setRowCapacities( Vector( { 2, 3, 3, 3, 2 } ) );
30 const int rowIdx = row.getRowIndex();
33 row.setElement( 0, rowIdx, 2.5 );
34 row.setElement( 1, rowIdx+1, -1 );
36 else if( rowIdx == size - 1 )
38 row.setElement( 0, rowIdx-1, -1.0 );
39 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:" );
81 solver.setSolverMonitor(monitor);
82 solver.setConvergenceResidue( 1.0e-6 );
84 monitor.stopMainLoop();
88int main(
int argc,
char* argv[] )
91 iterativeLinearSolverExample< TNL::Devices::Sequential >();
95 iterativeLinearSolverExample< TNL::Devices::Cuda >();
#define __cuda_callable__
Definition Macros.h:52
Vector extends Array with algebraic operations.
Definition Vector.h:39
Implementation of sparse matrix, i.e. matrix storing only non-zero elements.
Definition SparseMatrix.h:60
Iterative solver of linear systems based on the Jacobi method.
Definition Jacobi.h:24
void setMatrix(const MatrixPointer &matrix)
Set the matrix of the linear system.
Definition LinearSolver.h:123
A RAII wrapper for launching the SolverMonitor's main loop in a separate thread.
Definition SolverMonitor.h:136
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: 16779 RES: 0.054896
Jacobi stage: ITER: 34955 RES: 0.0033634
Jacobi stage: ITER: 52197 RES: 0.00023808
Jacobi stage: ITER: 69553 RES: 1.6555e-05
Jacobi stage: ITER: 86681 RES: 1.1922e-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: 5793 RES: 0.2987
Jacobi stage: ITER: 10651 RES: 0.14074
Jacobi stage: ITER: 15567 RES: 0.066129
Jacobi stage: ITER: 20319 RES: 0.031871
Jacobi stage: ITER: 23377 RES: 0.019919
Jacobi stage: ITER: 23835 RES: 0.018571
Jacobi stage: ITER: 24307 RES: 0.017273
Jacobi stage: ITER: 24801 RES: 0.016006
Jacobi stage: ITER: 25315 RES: 0.014795
Jacobi stage: ITER: 25809 RES: 0.01371
Jacobi stage: ITER: 26303 RES: 0.012712
Jacobi stage: ITER: 26797 RES: 0.011779
Jacobi stage: ITER: 27291 RES: 0.010922
Jacobi stage: ITER: 27807 RES: 0.01009
Jacobi stage: ITER: 28311 RES: 0.0093381
Jacobi stage: ITER: 28823 RES: 0.0086319
Jacobi stage: ITER: 29339 RES: 0.0079741
Jacobi stage: ITER: 29853 RES: 0.0073665
Jacobi stage: ITER: 30405 RES: 0.0067677
Jacobi stage: ITER: 30917 RES: 0.0062558
Jacobi stage: ITER: 31427 RES: 0.0057862
Jacobi stage: ITER: 31935 RES: 0.0053519
Jacobi stage: ITER: 32451 RES: 0.0049441
Jacobi stage: ITER: 32947 RES: 0.0045814
Jacobi stage: ITER: 33443 RES: 0.0042453
Jacobi stage: ITER: 33937 RES: 0.0039339
Jacobi stage: ITER: 34431 RES: 0.0036476
Jacobi stage: ITER: 34931 RES: 0.0033779
Jacobi stage: ITER: 35425 RES: 0.0031301
Jacobi stage: ITER: 35919 RES: 0.0029023
Jacobi stage: ITER: 36413 RES: 0.0026894
Jacobi stage: ITER: 36907 RES: 0.0024936
Jacobi stage: ITER: 37415 RES: 0.0023065
Jacobi stage: ITER: 37909 RES: 0.0021373
Jacobi stage: ITER: 38403 RES: 0.0019817
Jacobi stage: ITER: 38897 RES: 0.0018363
Jacobi stage: ITER: 39391 RES: 0.0017027
Jacobi stage: ITER: 39903 RES: 0.0015739
Jacobi stage: ITER: 40397 RES: 0.0014584
Jacobi stage: ITER: 40895 RES: 0.0013515
Jacobi stage: ITER: 41391 RES: 0.0012523
Jacobi stage: ITER: 41883 RES: 0.0011612
Jacobi stage: ITER: 42399 RES: 0.0010727
Jacobi stage: ITER: 42893 RES: 0.000994
Jacobi stage: ITER: 43387 RES: 0.00092165
Jacobi stage: ITER: 43883 RES: 0.00085404
Jacobi stage: ITER: 44375 RES: 0.00079188
Jacobi stage: ITER: 44891 RES: 0.00073154
Jacobi stage: ITER: 45383 RES: 0.00067829
Jacobi stage: ITER: 45879 RES: 0.00062853
Jacobi stage: ITER: 46371 RES: 0.00058278
Jacobi stage: ITER: 46867 RES: 0.00054003
Jacobi stage: ITER: 47379 RES: 0.00049919
Jacobi stage: ITER: 47871 RES: 0.00046285
Jacobi stage: ITER: 48369 RES: 0.00042864
Jacobi stage: ITER: 48863 RES: 0.00039744
Jacobi stage: ITER: 49355 RES: 0.00036851
Jacobi stage: ITER: 49879 RES: 0.00033897
Jacobi stage: ITER: 50407 RES: 0.00031353
Jacobi stage: ITER: 51211 RES: 0.0002771
Jacobi stage: ITER: 51705 RES: 0.00025677
Jacobi stage: ITER: 52199 RES: 0.00023808
Jacobi stage: ITER: 52695 RES: 0.00022062
Jacobi stage: ITER: 53187 RES: 0.00020456
Jacobi stage: ITER: 53681 RES: 0.00018956
Jacobi stage: ITER: 54175 RES: 0.00017576
Jacobi stage: ITER: 54671 RES: 0.00016287
Jacobi stage: ITER: 55163 RES: 0.00015101
Jacobi stage: ITER: 55657 RES: 0.00013993
Jacobi stage: ITER: 56151 RES: 0.00012975
Jacobi stage: ITER: 56647 RES: 0.00012023
Jacobi stage: ITER: 57141 RES: 0.00011141
Jacobi stage: ITER: 57635 RES: 0.0001033
Jacobi stage: ITER: 58127 RES: 9.5782e-05
Jacobi stage: ITER: 58621 RES: 8.8756e-05
Jacobi stage: ITER: 59115 RES: 8.2296e-05
Jacobi stage: ITER: 59579 RES: 7.6634e-05
Jacobi stage: ITER: 60073 RES: 7.1013e-05
Jacobi stage: ITER: 60567 RES: 6.5844e-05
Jacobi stage: ITER: 61053 RES: 6.1089e-05
Jacobi stage: ITER: 61547 RES: 5.6642e-05
Jacobi stage: ITER: 62041 RES: 5.2487e-05
Jacobi stage: ITER: 62535 RES: 4.8667e-05
Jacobi stage: ITER: 63029 RES: 4.5097e-05
Jacobi stage: ITER: 63523 RES: 4.1814e-05
Jacobi stage: ITER: 64021 RES: 3.8723e-05
Jacobi stage: ITER: 64515 RES: 3.5905e-05
Jacobi stage: ITER: 65007 RES: 3.3291e-05
Jacobi stage: ITER: 65503 RES: 3.0849e-05
Jacobi stage: ITER: 65997 RES: 2.8586e-05
Jacobi stage: ITER: 66489 RES: 2.6505e-05
Jacobi stage: ITER: 66983 RES: 2.4576e-05
Jacobi stage: ITER: 67477 RES: 2.2773e-05
Jacobi stage: ITER: 67977 RES: 2.109e-05
Jacobi stage: ITER: 68471 RES: 1.9555e-05
Jacobi stage: ITER: 68967 RES: 1.812e-05
Jacobi stage: ITER: 69459 RES: 1.6801e-05
Jacobi stage: ITER: 69951 RES: 1.5578e-05
Jacobi stage: ITER: 70445 RES: 1.4436e-05
Jacobi stage: ITER: 70939 RES: 1.3385e-05
Jacobi stage: ITER: 71433 RES: 1.2403e-05
Jacobi stage: ITER: 71927 RES: 1.15e-05
Jacobi stage: ITER: 72419 RES: 1.0663e-05
Jacobi stage: ITER: 72911 RES: 9.8871e-06
Jacobi stage: ITER: 73347 RES: 9.2466e-06
Jacobi stage: ITER: 73843 RES: 8.5683e-06
Jacobi stage: ITER: 74353 RES: 7.9203e-06
Jacobi stage: ITER: 74859 RES: 7.3303e-06
Jacobi stage: ITER: 75347 RES: 6.8009e-06
Jacobi stage: ITER: 75831 RES: 6.3136e-06
Jacobi stage: ITER: 76301 RES: 5.8721e-06
Jacobi stage: ITER: 76779 RES: 5.4581e-06
Jacobi stage: ITER: 77249 RES: 5.0764e-06
Jacobi stage: ITER: 77723 RES: 4.7214e-06
Jacobi stage: ITER: 78201 RES: 4.3858e-06
Jacobi stage: ITER: 78681 RES: 4.0741e-06
Jacobi stage: ITER: 79153 RES: 3.7891e-06
Jacobi stage: ITER: 79625 RES: 3.5242e-06
Jacobi stage: ITER: 80069 RES: 3.2918e-06
Jacobi stage: ITER: 80573 RES: 3.0466e-06
Jacobi stage: ITER: 81075 RES: 2.8214e-06
Jacobi stage: ITER: 81967 RES: 2.4601e-06
Jacobi stage: ITER: 82503 RES: 2.2657e-06
Jacobi stage: ITER: 83047 RES: 2.0841e-06
Jacobi stage: ITER: 83559 RES: 1.9264e-06
Jacobi stage: ITER: 84069 RES: 1.7807e-06
Jacobi stage: ITER: 84581 RES: 1.6461e-06
Jacobi stage: ITER: 85673 RES: 1.3919e-06
Jacobi stage: ITER: 86185 RES: 1.2866e-06
Jacobi stage: ITER: 86699 RES: 1.1893e-06
Jacobi stage: ITER: 87213 RES: 1.0987e-06
Jacobi stage: ITER: 87725 RES: 1.0156e-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 >
12void iterativeLinearSolverExample()
26 auto matrix_ptr = std::make_shared< MatrixType >();
27 matrix_ptr->setDimensions( size, size );
28 matrix_ptr->setRowCapacities( Vector( { 2, 3, 3, 3, 2 } ) );
31 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 )
39 row.setElement( 0, rowIdx-1, -1.0 );
40 row.setElement( 1, rowIdx, 2.5 );
44 row.setElement( 0, rowIdx-1, -1.0 );
45 row.setElement( 1, rowIdx, 2.5 );
46 row.setElement( 2, rowIdx+1, -1.0 );
53 matrix_ptr->forAllRows( f );
59 Vector x( size, 1.0 );
61 matrix_ptr->vectorProduct( x, b );
71 solver.setOmega( 0.0005 );
77 IterativeSolverMonitorType monitor;
79 monitor.setRefreshRate(10);
80 monitor.setVerbose(1);
81 monitor.setStage(
"Jacobi stage:" );
83 monitor.setTimer( timer );
85 solver.setSolverMonitor(monitor);
86 solver.setConvergenceResidue( 1.0e-6 );
88 monitor.stopMainLoop();
92int main(
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:28
void start()
Starts timer.
Definition Timer.hpp:48
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:0.007991
ELA: 0.10813 Jacobi stage: ITER: 20333 RES: 0.031793
ELA: 0.20825 Jacobi stage: ITER: 38959 RES: 0.0018195
ELA: 0.30837 Jacobi stage: ITER: 59781 RES: 7.427e-05
ELA: 0.4085 Jacobi stage: ITER: 79415 RES: 3.6408e-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:0.012548
ELA: 0.11266 Jacobi stage: ITER: 511 RES: 0.8482
ELA: 0.21278 Jacobi stage: ITER: 973 RES: 0.74346
ELA: 0.31289 Jacobi stage: ITER: 1471 RES: 0.65605
ELA: 0.41301 Jacobi stage: ITER: 1971 RES: 0.58588
ELA: 0.51313 Jacobi stage: ITER: 2465 RES: 0.52882
ELA: 0.61325 Jacobi stage: ITER: 2963 RES: 0.48079
ELA: 0.71336 Jacobi stage: ITER: 3455 RES: 0.43977
ELA: 0.81348 Jacobi stage: ITER: 3951 RES: 0.40352
ELA: 0.9136 Jacobi stage: ITER: 4441 RES: 0.37154
ELA: 1.0137 Jacobi stage: ITER: 4935 RES: 0.34278
ELA: 1.1139 Jacobi stage: ITER: 5429 RES: 0.3165
ELA: 1.2141 Jacobi stage: ITER: 5923 RES: 0.29272
ELA: 1.3142 Jacobi stage: ITER: 6417 RES: 0.27075
ELA: 1.4143 Jacobi stage: ITER: 6909 RES: 0.25072
ELA: 1.5144 Jacobi stage: ITER: 7403 RES: 0.23226
ELA: 1.6146 Jacobi stage: ITER: 7895 RES: 0.21522
ELA: 1.7147 Jacobi stage: ITER: 8391 RES: 0.19933
ELA: 1.8148 Jacobi stage: ITER: 8885 RES: 0.18465
ELA: 1.9149 Jacobi stage: ITER: 9375 RES: 0.17128
ELA: 2.015 Jacobi stage: ITER: 9871 RES: 0.15869
ELA: 2.1152 Jacobi stage: ITER: 10365 RES: 0.14703
ELA: 2.2153 Jacobi stage: ITER: 10859 RES: 0.13631
ELA: 2.3154 Jacobi stage: ITER: 11351 RES: 0.12639
ELA: 2.4155 Jacobi stage: ITER: 11847 RES: 0.11711
ELA: 2.5156 Jacobi stage: ITER: 12339 RES: 0.10858
ELA: 2.6158 Jacobi stage: ITER: 12835 RES: 0.10061
ELA: 2.7159 Jacobi stage: ITER: 13327 RES: 0.09329
ELA: 2.816 Jacobi stage: ITER: 13821 RES: 0.086445
ELA: 2.9161 Jacobi stage: ITER: 14313 RES: 0.080153
ELA: 3.0162 Jacobi stage: ITER: 14807 RES: 0.074318
ELA: 3.1163 Jacobi stage: ITER: 15301 RES: 0.068866
ELA: 3.2164 Jacobi stage: ITER: 15795 RES: 0.063853
ELA: 3.3165 Jacobi stage: ITER: 16287 RES: 0.059206
ELA: 3.4167 Jacobi stage: ITER: 16779 RES: 0.054896
ELA: 3.5168 Jacobi stage: ITER: 17271 RES: 0.0509
ELA: 3.6169 Jacobi stage: ITER: 17765 RES: 0.047166
ELA: 3.717 Jacobi stage: ITER: 18259 RES: 0.043733
ELA: 3.8171 Jacobi stage: ITER: 18751 RES: 0.04055
ELA: 3.9173 Jacobi stage: ITER: 19243 RES: 0.037599
ELA: 4.0174 Jacobi stage: ITER: 19737 RES: 0.03484
ELA: 4.1175 Jacobi stage: ITER: 20231 RES: 0.032305
ELA: 4.2176 Jacobi stage: ITER: 20723 RES: 0.029953
ELA: 4.3177 Jacobi stage: ITER: 21217 RES: 0.027756
ELA: 4.4178 Jacobi stage: ITER: 21711 RES: 0.025736
ELA: 4.518 Jacobi stage: ITER: 22203 RES: 0.023862
ELA: 4.6181 Jacobi stage: ITER: 22699 RES: 0.022112
ELA: 4.7182 Jacobi stage: ITER: 23193 RES: 0.02049
ELA: 4.8183 Jacobi stage: ITER: 23687 RES: 0.018999
ELA: 4.9184 Jacobi stage: ITER: 24179 RES: 0.017616
ELA: 5.0185 Jacobi stage: ITER: 24671 RES: 0.016333
ELA: 5.1186 Jacobi stage: ITER: 25165 RES: 0.015135
ELA: 5.2188 Jacobi stage: ITER: 25659 RES: 0.014034
ELA: 5.3189 Jacobi stage: ITER: 26153 RES: 0.013004
ELA: 5.419 Jacobi stage: ITER: 26645 RES: 0.012058
ELA: 5.5385 Jacobi stage: ITER: 27411 RES: 0.010723
ELA: 5.6394 Jacobi stage: ITER: 28031 RES: 0.0097485
ELA: 5.7395 Jacobi stage: ITER: 28527 RES: 0.0090334
ELA: 5.8396 Jacobi stage: ITER: 29019 RES: 0.0083759
ELA: 5.9397 Jacobi stage: ITER: 29513 RES: 0.0077615
ELA: 6.0398 Jacobi stage: ITER: 30007 RES: 0.0071965
ELA: 6.1399 Jacobi stage: ITER: 30499 RES: 0.0066727
ELA: 6.2401 Jacobi stage: ITER: 30995 RES: 0.0061832
ELA: 6.3402 Jacobi stage: ITER: 31487 RES: 0.0057332
ELA: 6.4403 Jacobi stage: ITER: 31981 RES: 0.0053126
ELA: 6.5404 Jacobi stage: ITER: 32475 RES: 0.0049259
ELA: 6.6405 Jacobi stage: ITER: 32967 RES: 0.0045674
ELA: 6.7406 Jacobi stage: ITER: 33461 RES: 0.0042323
ELA: 6.8408 Jacobi stage: ITER: 33955 RES: 0.0039243
ELA: 6.9409 Jacobi stage: ITER: 34451 RES: 0.0036364
ELA: 7.041 Jacobi stage: ITER: 34945 RES: 0.0033696
ELA: 7.1411 Jacobi stage: ITER: 35441 RES: 0.0031225
ELA: 7.2412 Jacobi stage: ITER: 35939 RES: 0.0028934
ELA: 7.3414 Jacobi stage: ITER: 36685 RES: 0.0025794
ELA: 7.4415 Jacobi stage: ITER: 37179 RES: 0.0023916
ELA: 7.5416 Jacobi stage: ITER: 37725 RES: 0.0021985
ELA: 7.6417 Jacobi stage: ITER: 38219 RES: 0.0020385
ELA: 7.7418 Jacobi stage: ITER: 38715 RES: 0.001889
ELA: 7.8419 Jacobi stage: ITER: 39207 RES: 0.0017515
ELA: 7.9421 Jacobi stage: ITER: 39701 RES: 0.001623
ELA: 8.0422 Jacobi stage: ITER: 40195 RES: 0.0015049
ELA: 8.1423 Jacobi stage: ITER: 40693 RES: 0.0013936
ELA: 8.2424 Jacobi stage: ITER: 41189 RES: 0.0012914
ELA: 8.3425 Jacobi stage: ITER: 41683 RES: 0.0011974
ELA: 8.4427 Jacobi stage: ITER: 42175 RES: 0.0011102
ELA: 8.5428 Jacobi stage: ITER: 42671 RES: 0.0010288
ELA: 8.6429 Jacobi stage: ITER: 43171 RES: 0.00095274
ELA: 8.743 Jacobi stage: ITER: 43663 RES: 0.00088339
ELA: 8.8431 Jacobi stage: ITER: 44157 RES: 0.00081859
ELA: 8.9432 Jacobi stage: ITER: 44651 RES: 0.00075901
ELA: 9.0434 Jacobi stage: ITER: 45143 RES: 0.00070376
ELA: 9.1435 Jacobi stage: ITER: 45639 RES: 0.00065214
ELA: 9.2436 Jacobi stage: ITER: 46135 RES: 0.0006043
ELA: 9.3437 Jacobi stage: ITER: 46633 RES: 0.00055962
ELA: 9.4438 Jacobi stage: ITER: 47127 RES: 0.00051889
ELA: 9.5439 Jacobi stage: ITER: 47621 RES: 0.00048083
ELA: 9.644 Jacobi stage: ITER: 48117 RES: 0.00044555
ELA: 9.7442 Jacobi stage: ITER: 48615 RES: 0.00041287
ELA: 9.8443 Jacobi stage: ITER: 49107 RES: 0.00038282
ELA: 9.9444 Jacobi stage: ITER: 49607 RES: 0.00035452
ELA: 10.044 Jacobi stage: ITER: 50959 RES: 0.00028804
ELA: 10.146 Jacobi stage: ITER: 51519 RES: 0.0002643
ELA: 10.249 Jacobi stage: ITER: 52039 RES: 0.00024401
ELA: 10.356 Jacobi stage: ITER: 52591 RES: 0.00022417
ELA: 10.456 Jacobi stage: ITER: 53091 RES: 0.0002076
ELA: 10.556 Jacobi stage: ITER: 53565 RES: 0.00019296
ELA: 10.656 Jacobi stage: ITER: 54035 RES: 0.00017958
ELA: 10.756 Jacobi stage: ITER: 54521 RES: 0.00016661
ELA: 10.856 Jacobi stage: ITER: 55003 RES: 0.00015477
ELA: 10.957 Jacobi stage: ITER: 55475 RES: 0.00014394
ELA: 11.057 Jacobi stage: ITER: 55951 RES: 0.0001338
ELA: 11.157 Jacobi stage: ITER: 56415 RES: 0.00012459
ELA: 11.257 Jacobi stage: ITER: 56887 RES: 0.00011588
ELA: 11.357 Jacobi stage: ITER: 57387 RES: 0.00010731
ELA: 11.457 Jacobi stage: ITER: 58157 RES: 9.5312e-05
ELA: 11.557 Jacobi stage: ITER: 58631 RES: 8.8647e-05
ELA: 11.657 Jacobi stage: ITER: 59113 RES: 8.2296e-05
ELA: 11.758 Jacobi stage: ITER: 59591 RES: 7.6493e-05
ELA: 11.858 Jacobi stage: ITER: 60029 RES: 7.1494e-05
ELA: 11.958 Jacobi stage: ITER: 60507 RES: 6.6454e-05
ELA: 12.058 Jacobi stage: ITER: 60999 RES: 6.1617e-05
ELA: 12.158 Jacobi stage: ITER: 61495 RES: 5.7097e-05
ELA: 12.258 Jacobi stage: ITER: 61993 RES: 5.2876e-05
ELA: 12.358 Jacobi stage: ITER: 62507 RES: 4.8877e-05
ELA: 12.458 Jacobi stage: ITER: 62933 RES: 4.5767e-05
ELA: 12.559 Jacobi stage: ITER: 63429 RES: 4.2409e-05
ELA: 12.659 Jacobi stage: ITER: 63923 RES: 3.9323e-05
ELA: 12.759 Jacobi stage: ITER: 64419 RES: 3.6438e-05
ELA: 12.859 Jacobi stage: ITER: 64935 RES: 3.3662e-05
ELA: 12.959 Jacobi stage: ITER: 69107 RES: 1.7735e-05
ELA: 13.059 Jacobi stage: ITER: 73617 RES: 8.8683e-06
ELA: 13.159 Jacobi stage: ITER: 78193 RES: 4.3912e-06
ELA: 13.259 Jacobi stage: ITER: 82763 RES: 2.177e-06
ELA: 13.36 Jacobi stage: ITER: 86239 RES: 1.2764e-06
Vector x = [ 0.999999, 0.999999, 0.999998, 0.999999, 0.999999 ]