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: CudaCallable.h:22
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:56
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:125
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: 32159 RES: 0.0051677
Jacobi stage: ITER: 64107 RES: 3.8203e-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: 6459 RES: 0.26906
Jacobi stage: ITER: 12919 RES: 0.099324
Jacobi stage: ITER: 17599 RES: 0.048399
Jacobi stage: ITER: 18061 RES: 0.04507
Jacobi stage: ITER: 18531 RES: 0.041944
Jacobi stage: ITER: 19031 RES: 0.038843
Jacobi stage: ITER: 19533 RES: 0.035949
Jacobi stage: ITER: 20035 RES: 0.033292
Jacobi stage: ITER: 20537 RES: 0.030812
Jacobi stage: ITER: 21039 RES: 0.028534
Jacobi stage: ITER: 21541 RES: 0.026408
Jacobi stage: ITER: 22043 RES: 0.024456
Jacobi stage: ITER: 22543 RES: 0.022648
Jacobi stage: ITER: 23047 RES: 0.020961
Jacobi stage: ITER: 23547 RES: 0.019411
Jacobi stage: ITER: 24051 RES: 0.017965
Jacobi stage: ITER: 24551 RES: 0.016637
Jacobi stage: ITER: 25055 RES: 0.015398
Jacobi stage: ITER: 25555 RES: 0.01426
Jacobi stage: ITER: 26059 RES: 0.013197
Jacobi stage: ITER: 26559 RES: 0.012222
Jacobi stage: ITER: 27061 RES: 0.011311
Jacobi stage: ITER: 27563 RES: 0.010475
Jacobi stage: ITER: 28065 RES: 0.0096948
Jacobi stage: ITER: 28567 RES: 0.0089781
Jacobi stage: ITER: 29069 RES: 0.0083092
Jacobi stage: ITER: 29569 RES: 0.007695
Jacobi stage: ITER: 30067 RES: 0.0071305
Jacobi stage: ITER: 30567 RES: 0.0066034
Jacobi stage: ITER: 31061 RES: 0.006119
Jacobi stage: ITER: 31541 RES: 0.0056841
Jacobi stage: ITER: 32003 RES: 0.0052963
Jacobi stage: ITER: 32475 RES: 0.0049259
Jacobi stage: ITER: 32915 RES: 0.004604
Jacobi stage: ITER: 33383 RES: 0.0042846
Jacobi stage: ITER: 33845 RES: 0.0039899
Jacobi stage: ITER: 34323 RES: 0.0037086
Jacobi stage: ITER: 34823 RES: 0.0034344
Jacobi stage: ITER: 35323 RES: 0.0031805
Jacobi stage: ITER: 35823 RES: 0.0029454
Jacobi stage: ITER: 36323 RES: 0.0027277
Jacobi stage: ITER: 36823 RES: 0.002526
Jacobi stage: ITER: 37323 RES: 0.0023393
Jacobi stage: ITER: 37825 RES: 0.002165
Jacobi stage: ITER: 38325 RES: 0.002005
Jacobi stage: ITER: 38825 RES: 0.0018568
Jacobi stage: ITER: 39325 RES: 0.0017195
Jacobi stage: ITER: 39827 RES: 0.0015924
Jacobi stage: ITER: 40327 RES: 0.0014747
Jacobi stage: ITER: 40827 RES: 0.0013656
Jacobi stage: ITER: 41327 RES: 0.0012647
Jacobi stage: ITER: 41827 RES: 0.0011712
Jacobi stage: ITER: 42327 RES: 0.0010846
Jacobi stage: ITER: 42827 RES: 0.0010044
Jacobi stage: ITER: 43327 RES: 0.00093018
Jacobi stage: ITER: 43829 RES: 0.00086089
Jacobi stage: ITER: 44329 RES: 0.00079725
Jacobi stage: ITER: 44829 RES: 0.00073831
Jacobi stage: ITER: 45329 RES: 0.00068373
Jacobi stage: ITER: 45829 RES: 0.00063318
Jacobi stage: ITER: 46331 RES: 0.00058638
Jacobi stage: ITER: 46831 RES: 0.00054303
Jacobi stage: ITER: 47331 RES: 0.00050288
Jacobi stage: ITER: 47831 RES: 0.00046571
Jacobi stage: ITER: 48331 RES: 0.00043128
Jacobi stage: ITER: 48831 RES: 0.0003994
Jacobi stage: ITER: 49331 RES: 0.00036987
Jacobi stage: ITER: 49831 RES: 0.00034253
Jacobi stage: ITER: 50331 RES: 0.00031721
Jacobi stage: ITER: 50833 RES: 0.00029358
Jacobi stage: ITER: 51333 RES: 0.00027187
Jacobi stage: ITER: 51833 RES: 0.00025178
Jacobi stage: ITER: 52333 RES: 0.00023316
Jacobi stage: ITER: 52835 RES: 0.00021593
Jacobi stage: ITER: 53335 RES: 0.00019996
Jacobi stage: ITER: 53835 RES: 0.00018518
Jacobi stage: ITER: 54335 RES: 0.00017149
Jacobi stage: ITER: 54835 RES: 0.00015881
Jacobi stage: ITER: 55335 RES: 0.00014707
Jacobi stage: ITER: 55835 RES: 0.0001362
Jacobi stage: ITER: 56333 RES: 0.00012613
Jacobi stage: ITER: 56833 RES: 0.00011681
Jacobi stage: ITER: 57333 RES: 0.00010817
Jacobi stage: ITER: 57833 RES: 0.00010018
Jacobi stage: ITER: 58335 RES: 9.277e-05
Jacobi stage: ITER: 58835 RES: 8.5912e-05
Jacobi stage: ITER: 59335 RES: 7.9561e-05
Jacobi stage: ITER: 59835 RES: 7.3679e-05
Jacobi stage: ITER: 60335 RES: 6.8233e-05
Jacobi stage: ITER: 60835 RES: 6.3188e-05
Jacobi stage: ITER: 61335 RES: 5.8517e-05
Jacobi stage: ITER: 61835 RES: 5.4191e-05
Jacobi stage: ITER: 62337 RES: 5.0154e-05
Jacobi stage: ITER: 62837 RES: 4.6447e-05
Jacobi stage: ITER: 63337 RES: 4.3013e-05
Jacobi stage: ITER: 63837 RES: 3.9833e-05
Jacobi stage: ITER: 64339 RES: 3.6889e-05
Jacobi stage: ITER: 64839 RES: 3.4162e-05
Jacobi stage: ITER: 65339 RES: 3.1636e-05
Jacobi stage: ITER: 65839 RES: 2.9297e-05
Jacobi stage: ITER: 66339 RES: 2.7132e-05
Jacobi stage: ITER: 66839 RES: 2.5126e-05
Jacobi stage: ITER: 67339 RES: 2.3268e-05
Jacobi stage: ITER: 67839 RES: 2.1548e-05
Jacobi stage: ITER: 68339 RES: 1.9955e-05
Jacobi stage: ITER: 68839 RES: 1.848e-05
Jacobi stage: ITER: 69341 RES: 1.7103e-05
Jacobi stage: ITER: 69841 RES: 1.5839e-05
Jacobi stage: ITER: 70341 RES: 1.4668e-05
Jacobi stage: ITER: 70841 RES: 1.3584e-05
Jacobi stage: ITER: 71343 RES: 1.258e-05
Jacobi stage: ITER: 71843 RES: 1.165e-05
Jacobi stage: ITER: 72343 RES: 1.0788e-05
Jacobi stage: ITER: 72843 RES: 9.9909e-06
Jacobi stage: ITER: 73343 RES: 9.2523e-06
Jacobi stage: ITER: 73843 RES: 8.5683e-06
Jacobi stage: ITER: 74343 RES: 7.9349e-06
Jacobi stage: ITER: 74845 RES: 7.3438e-06
Jacobi stage: ITER: 75345 RES: 6.8009e-06
Jacobi stage: ITER: 75845 RES: 6.2981e-06
Jacobi stage: ITER: 76345 RES: 5.8325e-06
Jacobi stage: ITER: 76839 RES: 5.408e-06
Jacobi stage: ITER: 77339 RES: 5.0082e-06
Jacobi stage: ITER: 77839 RES: 4.638e-06
Jacobi stage: ITER: 78341 RES: 4.2925e-06
Jacobi stage: ITER: 78841 RES: 3.9752e-06
Jacobi stage: ITER: 79341 RES: 3.6813e-06
Jacobi stage: ITER: 79843 RES: 3.4091e-06
Jacobi stage: ITER: 80343 RES: 3.1571e-06
Jacobi stage: ITER: 80843 RES: 2.9237e-06
Jacobi stage: ITER: 81343 RES: 2.7076e-06
Jacobi stage: ITER: 81807 RES: 2.5213e-06
Jacobi stage: ITER: 82279 RES: 2.345e-06
Jacobi stage: ITER: 82745 RES: 2.1824e-06
Jacobi stage: ITER: 83245 RES: 2.021e-06
Jacobi stage: ITER: 83745 RES: 1.8716e-06
Jacobi stage: ITER: 84245 RES: 1.7333e-06
Jacobi stage: ITER: 84745 RES: 1.6051e-06
Jacobi stage: ITER: 85247 RES: 1.4865e-06
Jacobi stage: ITER: 85747 RES: 1.3766e-06
Jacobi stage: ITER: 86247 RES: 1.2748e-06
Jacobi stage: ITER: 86747 RES: 1.1806e-06
Jacobi stage: ITER: 87247 RES: 1.0933e-06
Jacobi stage: ITER: 87747 RES: 1.0125e-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
ELA: 0.10009 Jacobi stage: ITER: 32115 RES: 0.0052028
ELA: 0.2002 Jacobi stage: ITER: 64491 RES: 3.6037e-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:3.4779e-
ELA: 0.10016 Jacobi stage: ITER: 461 RES: 0.86067
ELA: 0.20026 Jacobi stage: ITER: 927 RES: 0.75312
ELA: 0.30035 Jacobi stage: ITER: 1427 RES: 0.66299
ELA: 0.40044 Jacobi stage: ITER: 1929 RES: 0.59097
ELA: 0.50053 Jacobi stage: ITER: 2431 RES: 0.53262
ELA: 0.60063 Jacobi stage: ITER: 2933 RES: 0.48331
ELA: 0.70073 Jacobi stage: ITER: 3435 RES: 0.44133
ELA: 0.80083 Jacobi stage: ITER: 3937 RES: 0.40435
ELA: 0.90094 Jacobi stage: ITER: 4439 RES: 0.37179
ELA: 1.001 Jacobi stage: ITER: 4941 RES: 0.34234
ELA: 1.1012 Jacobi stage: ITER: 5443 RES: 0.31589
ELA: 1.2012 Jacobi stage: ITER: 5945 RES: 0.29161
ELA: 1.3014 Jacobi stage: ITER: 6447 RES: 0.26957
ELA: 1.4015 Jacobi stage: ITER: 6947 RES: 0.24932
ELA: 1.5016 Jacobi stage: ITER: 7451 RES: 0.23054
ELA: 1.6017 Jacobi stage: ITER: 7951 RES: 0.21336
ELA: 1.7018 Jacobi stage: ITER: 8455 RES: 0.19738
ELA: 1.8019 Jacobi stage: ITER: 8955 RES: 0.18273
ELA: 1.902 Jacobi stage: ITER: 9459 RES: 0.16908
ELA: 2.0021 Jacobi stage: ITER: 9959 RES: 0.15655
ELA: 2.1022 Jacobi stage: ITER: 10461 RES: 0.14487
ELA: 2.2023 Jacobi stage: ITER: 10963 RES: 0.13415
ELA: 2.3024 Jacobi stage: ITER: 11465 RES: 0.12415
ELA: 2.4024 Jacobi stage: ITER: 11965 RES: 0.11497
ELA: 2.5025 Jacobi stage: ITER: 12465 RES: 0.10647
ELA: 2.6026 Jacobi stage: ITER: 12965 RES: 0.098595
ELA: 2.7027 Jacobi stage: ITER: 13463 RES: 0.091361
ELA: 2.8028 Jacobi stage: ITER: 13935 RES: 0.084971
ELA: 2.9029 Jacobi stage: ITER: 14387 RES: 0.079271
ELA: 3.003 Jacobi stage: ITER: 14855 RES: 0.073772
ELA: 3.1031 Jacobi stage: ITER: 15307 RES: 0.068824
ELA: 3.2032 Jacobi stage: ITER: 15755 RES: 0.064247
ELA: 3.3033 Jacobi stage: ITER: 16221 RES: 0.059791
ELA: 3.4034 Jacobi stage: ITER: 16687 RES: 0.055677
ELA: 3.5035 Jacobi stage: ITER: 17187 RES: 0.051561
ELA: 3.6036 Jacobi stage: ITER: 17687 RES: 0.04775
ELA: 3.7037 Jacobi stage: ITER: 18187 RES: 0.04422
ELA: 3.8038 Jacobi stage: ITER: 18689 RES: 0.040926
ELA: 3.9039 Jacobi stage: ITER: 19189 RES: 0.0379
ELA: 4.004 Jacobi stage: ITER: 19689 RES: 0.035098
ELA: 4.1041 Jacobi stage: ITER: 20189 RES: 0.032504
ELA: 4.2042 Jacobi stage: ITER: 20691 RES: 0.030101
ELA: 4.3043 Jacobi stage: ITER: 21191 RES: 0.027876
ELA: 4.4044 Jacobi stage: ITER: 21691 RES: 0.025815
ELA: 4.5045 Jacobi stage: ITER: 22191 RES: 0.023906
ELA: 4.6046 Jacobi stage: ITER: 22691 RES: 0.022139
ELA: 4.7047 Jacobi stage: ITER: 23191 RES: 0.020502
ELA: 4.8048 Jacobi stage: ITER: 23691 RES: 0.018987
ELA: 4.9049 Jacobi stage: ITER: 24191 RES: 0.017583
ELA: 5.005 Jacobi stage: ITER: 24693 RES: 0.016273
ELA: 5.1051 Jacobi stage: ITER: 25193 RES: 0.01507
ELA: 5.2052 Jacobi stage: ITER: 25693 RES: 0.013956
ELA: 5.3053 Jacobi stage: ITER: 26193 RES: 0.012925
ELA: 5.4054 Jacobi stage: ITER: 26695 RES: 0.011969
ELA: 5.5056 Jacobi stage: ITER: 27195 RES: 0.011084
ELA: 5.6057 Jacobi stage: ITER: 27695 RES: 0.010265
ELA: 5.7058 Jacobi stage: ITER: 28195 RES: 0.009506
ELA: 5.8059 Jacobi stage: ITER: 28695 RES: 0.0088033
ELA: 5.906 Jacobi stage: ITER: 29195 RES: 0.0081525
ELA: 6.006 Jacobi stage: ITER: 29695 RES: 0.0075498
ELA: 6.1061 Jacobi stage: ITER: 30195 RES: 0.0069917
ELA: 6.2062 Jacobi stage: ITER: 30695 RES: 0.0064748
ELA: 6.3063 Jacobi stage: ITER: 31195 RES: 0.0059962
ELA: 6.4064 Jacobi stage: ITER: 31697 RES: 0.0055495
ELA: 6.5066 Jacobi stage: ITER: 32197 RES: 0.0051392
ELA: 6.6067 Jacobi stage: ITER: 32697 RES: 0.0047593
ELA: 6.7067 Jacobi stage: ITER: 33199 RES: 0.0044075
ELA: 6.8068 Jacobi stage: ITER: 33699 RES: 0.0040816
ELA: 6.9069 Jacobi stage: ITER: 34199 RES: 0.0037799
ELA: 7.007 Jacobi stage: ITER: 34699 RES: 0.0035005
ELA: 7.1071 Jacobi stage: ITER: 35199 RES: 0.0032417
ELA: 7.2072 Jacobi stage: ITER: 35699 RES: 0.0030021
ELA: 7.3073 Jacobi stage: ITER: 36199 RES: 0.0027801
ELA: 7.4074 Jacobi stage: ITER: 36699 RES: 0.0025746
ELA: 7.5075 Jacobi stage: ITER: 37201 RES: 0.0023828
ELA: 7.6076 Jacobi stage: ITER: 37701 RES: 0.0022067
ELA: 7.7077 Jacobi stage: ITER: 38201 RES: 0.0020435
ELA: 7.8078 Jacobi stage: ITER: 38733 RES: 0.0018832
ELA: 7.9079 Jacobi stage: ITER: 39233 RES: 0.001744
ELA: 8.0081 Jacobi stage: ITER: 39735 RES: 0.001615
ELA: 8.1082 Jacobi stage: ITER: 40235 RES: 0.0014956
ELA: 8.2083 Jacobi stage: ITER: 40735 RES: 0.0013851
ELA: 8.3084 Jacobi stage: ITER: 41235 RES: 0.0012827
ELA: 8.4085 Jacobi stage: ITER: 41735 RES: 0.0011879
ELA: 8.5086 Jacobi stage: ITER: 42235 RES: 0.0011001
ELA: 8.6087 Jacobi stage: ITER: 42735 RES: 0.0010187
ELA: 8.7088 Jacobi stage: ITER: 43237 RES: 0.00094284
ELA: 8.8089 Jacobi stage: ITER: 43737 RES: 0.00087314
ELA: 8.909 Jacobi stage: ITER: 44237 RES: 0.00080859
ELA: 9.0091 Jacobi stage: ITER: 44737 RES: 0.00074882
ELA: 9.1092 Jacobi stage: ITER: 45239 RES: 0.00069346
ELA: 9.2093 Jacobi stage: ITER: 45739 RES: 0.0006422
ELA: 9.3094 Jacobi stage: ITER: 46239 RES: 0.00059472
ELA: 9.4095 Jacobi stage: ITER: 46739 RES: 0.00055076
ELA: 9.5096 Jacobi stage: ITER: 47239 RES: 0.00051004
ELA: 9.6097 Jacobi stage: ITER: 47739 RES: 0.00047234
ELA: 9.7098 Jacobi stage: ITER: 48239 RES: 0.00043742
ELA: 9.8099 Jacobi stage: ITER: 48739 RES: 0.00040508
ELA: 9.91 Jacobi stage: ITER: 49241 RES: 0.0003749
ELA: 10.01 Jacobi stage: ITER: 49743 RES: 0.00034719
ELA: 10.11 Jacobi stage: ITER: 50243 RES: 0.00032152
ELA: 10.21 Jacobi stage: ITER: 50743 RES: 0.00029775
ELA: 10.31 Jacobi stage: ITER: 51243 RES: 0.00027574
ELA: 10.41 Jacobi stage: ITER: 51743 RES: 0.0002552
ELA: 10.511 Jacobi stage: ITER: 52245 RES: 0.00023634
ELA: 10.611 Jacobi stage: ITER: 52745 RES: 0.00021886
ELA: 10.711 Jacobi stage: ITER: 53245 RES: 0.00020268
ELA: 10.811 Jacobi stage: ITER: 53747 RES: 0.0001877
ELA: 10.911 Jacobi stage: ITER: 54247 RES: 0.00017383
ELA: 11.011 Jacobi stage: ITER: 54747 RES: 0.00016097
ELA: 11.111 Jacobi stage: ITER: 55247 RES: 0.00014907
ELA: 11.211 Jacobi stage: ITER: 55747 RES: 0.00013805
ELA: 11.311 Jacobi stage: ITER: 56247 RES: 0.00012785
ELA: 11.411 Jacobi stage: ITER: 56747 RES: 0.0001184
ELA: 11.512 Jacobi stage: ITER: 57247 RES: 0.00010964
ELA: 11.612 Jacobi stage: ITER: 57749 RES: 0.00010148
ELA: 11.712 Jacobi stage: ITER: 58249 RES: 9.3975e-05
ELA: 11.812 Jacobi stage: ITER: 58749 RES: 8.7028e-05
ELA: 11.912 Jacobi stage: ITER: 59311 RES: 7.9855e-05
ELA: 12.012 Jacobi stage: ITER: 59811 RES: 7.3952e-05
ELA: 12.112 Jacobi stage: ITER: 60311 RES: 6.8485e-05
ELA: 12.212 Jacobi stage: ITER: 60811 RES: 6.3422e-05
ELA: 12.312 Jacobi stage: ITER: 61311 RES: 5.8733e-05
ELA: 12.412 Jacobi stage: ITER: 61811 RES: 5.4391e-05
ELA: 12.513 Jacobi stage: ITER: 62313 RES: 5.034e-05
ELA: 12.613 Jacobi stage: ITER: 62813 RES: 4.6618e-05
ELA: 12.713 Jacobi stage: ITER: 63313 RES: 4.3172e-05
ELA: 12.813 Jacobi stage: ITER: 63815 RES: 3.998e-05
ELA: 12.913 Jacobi stage: ITER: 64273 RES: 3.7253e-05
ELA: 13.013 Jacobi stage: ITER: 64743 RES: 3.4669e-05
ELA: 13.113 Jacobi stage: ITER: 65211 RES: 3.2264e-05
ELA: 13.213 Jacobi stage: ITER: 65703 RES: 2.9916e-05
ELA: 13.313 Jacobi stage: ITER: 66203 RES: 2.7704e-05
ELA: 13.413 Jacobi stage: ITER: 66703 RES: 2.5656e-05
ELA: 13.513 Jacobi stage: ITER: 67203 RES: 2.376e-05
ELA: 13.614 Jacobi stage: ITER: 67703 RES: 2.2003e-05
ELA: 13.714 Jacobi stage: ITER: 68203 RES: 2.0377e-05
ELA: 13.814 Jacobi stage: ITER: 68705 RES: 1.8859e-05
ELA: 13.914 Jacobi stage: ITER: 69205 RES: 1.7464e-05
ELA: 14.014 Jacobi stage: ITER: 69705 RES: 1.6173e-05
ELA: 14.114 Jacobi stage: ITER: 70205 RES: 1.4978e-05
ELA: 14.214 Jacobi stage: ITER: 75207 RES: 6.9487e-06
ELA: 14.314 Jacobi stage: ITER: 81789 RES: 2.5275e-06
Vector x = [ 0.999999, 0.999999, 0.999998, 0.999999, 0.999999 ]