template<typename
Real = double>
class TNL::Solvers::IterativeSolverMonitor< Real >
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 <TNL/Matrices/SparseMatrix.h>
4#include <TNL/Devices/Sequential.h>
5#include <TNL/Devices/Cuda.h>
6#include <TNL/Solvers/Linear/Jacobi.h>
7
8template< typename Device >
9void
10iterativeLinearSolverExample()
11{
12
13
14
15
16
17
18
19
20
23 const int size( 5 );
25 matrix_ptr->setDimensions( size, size );
26 matrix_ptr->setRowCapacities( Vector( { 2, 3, 3, 3, 2 } ) );
27
29 {
30 const int rowIdx = row.getRowIndex();
31 if( rowIdx == 0 ) {
32 row.setElement( 0, rowIdx, 2.5 );
33 row.setElement( 1, rowIdx + 1, -1 );
34 }
35 else if( rowIdx == size - 1 ) {
36 row.setElement( 0, rowIdx - 1, -1.0 );
37 row.setElement( 1, rowIdx, 2.5 );
38 }
39 else {
40 row.setElement( 0, rowIdx - 1, -1.0 );
41 row.setElement( 1, rowIdx, 2.5 );
42 row.setElement( 2, rowIdx + 1, -1.0 );
43 }
44 };
45
46
47
48
49 matrix_ptr->forAllRows( f );
51
52
53
54
55 Vector x( size, 1.0 );
56 Vector b( size );
57 matrix_ptr->vectorProduct( x, b );
58 x = 0.0;
60
61
62
63
65 LinearSolver solver;
67 solver.setOmega( 0.0005 );
68
69
70
71
73 IterativeSolverMonitorType monitor;
75 monitor.setRefreshRate( 10 );
76 monitor.setVerbose( 1 );
77 monitor.setStage( "Jacobi stage:" );
78 solver.setSolverMonitor( monitor );
79 solver.setConvergenceResidue( 1.0e-6 );
80 solver.solve( b, x );
81 monitor.stopMainLoop();
83}
84
85int
86main( int argc, char* argv[] )
87{
88 std::cout <<
"Solving linear system on host:\n";
89 iterativeLinearSolverExample< TNL::Devices::Sequential >();
90
91#ifdef __CUDACC__
92 std::cout <<
"Solving linear system on CUDA device:\n";
93 iterativeLinearSolverExample< TNL::Devices::Cuda >();
94#endif
95}
#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
virtual 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:142
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: 20939 RES: 0.028976
Jacobi stage: ITER: 42255 RES: 0.001096
Jacobi stage: ITER: 62719 RES: 4.7311e-05
Jacobi stage: ITER: 83919 RES: 1.8228e-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: 3355 RES: 0.44766
Jacobi stage: ITER: 3843 RES: 0.41104
Jacobi stage: ITER: 4211 RES: 0.38618
Jacobi stage: ITER: 4535 RES: 0.36594
Jacobi stage: ITER: 4859 RES: 0.34704
Jacobi stage: ITER: 5185 RES: 0.32912
Jacobi stage: ITER: 5511 RES: 0.31248
Jacobi stage: ITER: 5835 RES: 0.29682
Jacobi stage: ITER: 6175 RES: 0.28132
Jacobi stage: ITER: 6527 RES: 0.26621
Jacobi stage: ITER: 6893 RES: 0.25135
Jacobi stage: ITER: 7249 RES: 0.23781
Jacobi stage: ITER: 7603 RES: 0.22517
Jacobi stage: ITER: 7915 RES: 0.21455
Jacobi stage: ITER: 8089 RES: 0.20879
Jacobi stage: ITER: 8287 RES: 0.20256
Jacobi stage: ITER: 8487 RES: 0.1964
Jacobi stage: ITER: 8635 RES: 0.19197
Jacobi stage: ITER: 8779 RES: 0.18775
Jacobi stage: ITER: 8969 RES: 0.18228
Jacobi stage: ITER: 9213 RES: 0.17555
Jacobi stage: ITER: 9635 RES: 0.16456
Jacobi stage: ITER: 9935 RES: 0.15713
Jacobi stage: ITER: 10247 RES: 0.14977
Jacobi stage: ITER: 10527 RES: 0.14345
Jacobi stage: ITER: 10919 RES: 0.13506
Jacobi stage: ITER: 11283 RES: 0.12771
Jacobi stage: ITER: 11607 RES: 0.12151
Jacobi stage: ITER: 11885 RES: 0.11639
Jacobi stage: ITER: 12187 RES: 0.11115
Jacobi stage: ITER: 12433 RES: 0.10699
Jacobi stage: ITER: 12667 RES: 0.10325
Jacobi stage: ITER: 12911 RES: 0.099447
Jacobi stage: ITER: 13237 RES: 0.09456
Jacobi stage: ITER: 13555 RES: 0.090079
Jacobi stage: ITER: 13893 RES: 0.085495
Jacobi stage: ITER: 14231 RES: 0.081194
Jacobi stage: ITER: 14555 RES: 0.077251
Jacobi stage: ITER: 14887 RES: 0.073411
Jacobi stage: ITER: 15187 RES: 0.070104
Jacobi stage: ITER: 15511 RES: 0.066701
Jacobi stage: ITER: 15845 RES: 0.063345
Jacobi stage: ITER: 16177 RES: 0.060196
Jacobi stage: ITER: 16481 RES: 0.05745
Jacobi stage: ITER: 16807 RES: 0.054661
Jacobi stage: ITER: 17139 RES: 0.051943
Jacobi stage: ITER: 17463 RES: 0.049421
Jacobi stage: ITER: 17789 RES: 0.046993
Jacobi stage: ITER: 18105 RES: 0.044766
Jacobi stage: ITER: 18431 RES: 0.042593
Jacobi stage: ITER: 18733 RES: 0.04065
Jacobi stage: ITER: 19045 RES: 0.038748
Jacobi stage: ITER: 19375 RES: 0.036844
Jacobi stage: ITER: 19707 RES: 0.035012
Jacobi stage: ITER: 20023 RES: 0.033353
Jacobi stage: ITER: 20347 RES: 0.031734
Jacobi stage: ITER: 20659 RES: 0.030249
Jacobi stage: ITER: 20987 RES: 0.028763
Jacobi stage: ITER: 21289 RES: 0.027451
Jacobi stage: ITER: 21611 RES: 0.026134
Jacobi stage: ITER: 21941 RES: 0.024835
Jacobi stage: ITER: 22273 RES: 0.0236
Jacobi stage: ITER: 22591 RES: 0.022482
Jacobi stage: ITER: 22911 RES: 0.021404
Jacobi stage: ITER: 23239 RES: 0.020352
Jacobi stage: ITER: 23547 RES: 0.019411
Jacobi stage: ITER: 23871 RES: 0.018469
Jacobi stage: ITER: 24187 RES: 0.017594
Jacobi stage: ITER: 24517 RES: 0.016719
Jacobi stage: ITER: 24853 RES: 0.015878
Jacobi stage: ITER: 25163 RES: 0.015145
Jacobi stage: ITER: 25483 RES: 0.014418
Jacobi stage: ITER: 25811 RES: 0.01371
Jacobi stage: ITER: 26143 RES: 0.013028
Jacobi stage: ITER: 26467 RES: 0.012396
Jacobi stage: ITER: 26779 RES: 0.011816
Jacobi stage: ITER: 27107 RES: 0.011235
Jacobi stage: ITER: 27431 RES: 0.01069
Jacobi stage: ITER: 27761 RES: 0.010158
Jacobi stage: ITER: 28071 RES: 0.0096888
Jacobi stage: ITER: 28399 RES: 0.0092128
Jacobi stage: ITER: 28719 RES: 0.0087709
Jacobi stage: ITER: 29043 RES: 0.0083451
Jacobi stage: ITER: 29377 RES: 0.0079253
Jacobi stage: ITER: 29699 RES: 0.0075452
Jacobi stage: ITER: 30001 RES: 0.0072009
Jacobi stage: ITER: 30331 RES: 0.0068471
Jacobi stage: ITER: 30641 RES: 0.0065267
Jacobi stage: ITER: 30969 RES: 0.0062061
Jacobi stage: ITER: 31301 RES: 0.0058975
Jacobi stage: ITER: 31637 RES: 0.0056009
Jacobi stage: ITER: 31955 RES: 0.0053355
Jacobi stage: ITER: 32281 RES: 0.0050733
Jacobi stage: ITER: 32599 RES: 0.004833
Jacobi stage: ITER: 32943 RES: 0.0045842
Jacobi stage: ITER: 33301 RES: 0.0043376
Jacobi stage: ITER: 33651 RES: 0.0041119
Jacobi stage: ITER: 33971 RES: 0.0039146
Jacobi stage: ITER: 34263 RES: 0.0037429
Jacobi stage: ITER: 34593 RES: 0.0035568
Jacobi stage: ITER: 34921 RES: 0.0033821
Jacobi stage: ITER: 35249 RES: 0.0032159
Jacobi stage: ITER: 35577 RES: 0.0030579
Jacobi stage: ITER: 35905 RES: 0.0029077
Jacobi stage: ITER: 36233 RES: 0.0027648
Jacobi stage: ITER: 36559 RES: 0.0026306
Jacobi stage: ITER: 36887 RES: 0.0025013
Jacobi stage: ITER: 37215 RES: 0.0023784
Jacobi stage: ITER: 37543 RES: 0.0022616
Jacobi stage: ITER: 37871 RES: 0.0021504
Jacobi stage: ITER: 38199 RES: 0.0020448
Jacobi stage: ITER: 38527 RES: 0.0019443
Jacobi stage: ITER: 38855 RES: 0.0018488
Jacobi stage: ITER: 39183 RES: 0.001758
Jacobi stage: ITER: 39509 RES: 0.0016716
Jacobi stage: ITER: 39837 RES: 0.0015894
Jacobi stage: ITER: 40163 RES: 0.0015123
Jacobi stage: ITER: 40491 RES: 0.001438
Jacobi stage: ITER: 40819 RES: 0.0013673
Jacobi stage: ITER: 41163 RES: 0.001297
Jacobi stage: ITER: 41499 RES: 0.0012317
Jacobi stage: ITER: 41827 RES: 0.0011712
Jacobi stage: ITER: 42155 RES: 0.0011137
Jacobi stage: ITER: 42483 RES: 0.0010589
Jacobi stage: ITER: 42811 RES: 0.0010069
Jacobi stage: ITER: 43139 RES: 0.00095743
Jacobi stage: ITER: 43467 RES: 0.00091039
Jacobi stage: ITER: 43795 RES: 0.00086566
Jacobi stage: ITER: 44123 RES: 0.00082313
Jacobi stage: ITER: 44451 RES: 0.00078269
Jacobi stage: ITER: 44779 RES: 0.00074423
Jacobi stage: ITER: 45105 RES: 0.00070766
Jacobi stage: ITER: 45433 RES: 0.00067289
Jacobi stage: ITER: 45761 RES: 0.00063983
Jacobi stage: ITER: 46089 RES: 0.0006084
Jacobi stage: ITER: 46417 RES: 0.0005785
Jacobi stage: ITER: 46743 RES: 0.00055042
Jacobi stage: ITER: 47071 RES: 0.00052337
Jacobi stage: ITER: 47399 RES: 0.00049766
Jacobi stage: ITER: 47727 RES: 0.00047321
Jacobi stage: ITER: 48055 RES: 0.00044996
Jacobi stage: ITER: 48383 RES: 0.00042785
Jacobi stage: ITER: 48711 RES: 0.00040683
Jacobi stage: ITER: 49037 RES: 0.00038684
Jacobi stage: ITER: 49365 RES: 0.00036783
Jacobi stage: ITER: 49755 RES: 0.00034655
Jacobi stage: ITER: 50083 RES: 0.00032952
Jacobi stage: ITER: 50411 RES: 0.00031333
Jacobi stage: ITER: 50737 RES: 0.00029794
Jacobi stage: ITER: 51065 RES: 0.0002833
Jacobi stage: ITER: 51393 RES: 0.00026938
Jacobi stage: ITER: 51719 RES: 0.00025614
Jacobi stage: ITER: 52047 RES: 0.00024371
Jacobi stage: ITER: 52375 RES: 0.00023173
Jacobi stage: ITER: 52703 RES: 0.00022035
Jacobi stage: ITER: 53031 RES: 0.00020952
Jacobi stage: ITER: 53359 RES: 0.00019923
Jacobi stage: ITER: 53687 RES: 0.00018944
Jacobi stage: ITER: 54013 RES: 0.00018013
Jacobi stage: ITER: 54341 RES: 0.00017128
Jacobi stage: ITER: 54669 RES: 0.00016287
Jacobi stage: ITER: 54995 RES: 0.00015496
Jacobi stage: ITER: 55325 RES: 0.00014725
Jacobi stage: ITER: 55651 RES: 0.00014011
Jacobi stage: ITER: 55979 RES: 0.00013322
Jacobi stage: ITER: 56307 RES: 0.00012668
Jacobi stage: ITER: 56635 RES: 0.00012045
Jacobi stage: ITER: 56963 RES: 0.00011453
Jacobi stage: ITER: 57291 RES: 0.00010891
Jacobi stage: ITER: 57619 RES: 0.00010356
Jacobi stage: ITER: 57947 RES: 9.8467e-05
Jacobi stage: ITER: 58273 RES: 9.3629e-05
Jacobi stage: ITER: 58601 RES: 8.9029e-05
Jacobi stage: ITER: 58927 RES: 8.4707e-05
Jacobi stage: ITER: 59255 RES: 8.0545e-05
Jacobi stage: ITER: 59583 RES: 7.6587e-05
Jacobi stage: ITER: 59911 RES: 7.2824e-05
Jacobi stage: ITER: 60239 RES: 6.9246e-05
Jacobi stage: ITER: 60567 RES: 6.5844e-05
Jacobi stage: ITER: 60893 RES: 6.2609e-05
Jacobi stage: ITER: 61221 RES: 5.9533e-05
Jacobi stage: ITER: 61549 RES: 5.6608e-05
Jacobi stage: ITER: 61875 RES: 5.3859e-05
Jacobi stage: ITER: 62203 RES: 5.1213e-05
Jacobi stage: ITER: 62531 RES: 4.8697e-05
Jacobi stage: ITER: 62859 RES: 4.6304e-05
Jacobi stage: ITER: 63187 RES: 4.4029e-05
Jacobi stage: ITER: 63515 RES: 4.1866e-05
Jacobi stage: ITER: 63841 RES: 3.9809e-05
Jacobi stage: ITER: 64169 RES: 3.7853e-05
Jacobi stage: ITER: 64497 RES: 3.5993e-05
Jacobi stage: ITER: 64823 RES: 3.4246e-05
Jacobi stage: ITER: 65151 RES: 3.2563e-05
Jacobi stage: ITER: 65479 RES: 3.0963e-05
Jacobi stage: ITER: 65807 RES: 2.9442e-05
Jacobi stage: ITER: 66135 RES: 2.7995e-05
Jacobi stage: ITER: 66463 RES: 2.662e-05
Jacobi stage: ITER: 66789 RES: 2.5312e-05
Jacobi stage: ITER: 67117 RES: 2.4068e-05
Jacobi stage: ITER: 67445 RES: 2.2886e-05
Jacobi stage: ITER: 67773 RES: 2.1761e-05
Jacobi stage: ITER: 68099 RES: 2.0705e-05
Jacobi stage: ITER: 68427 RES: 1.9687e-05
Jacobi stage: ITER: 68755 RES: 1.872e-05
Jacobi stage: ITER: 69083 RES: 1.78e-05
Jacobi stage: ITER: 69411 RES: 1.6926e-05
Jacobi stage: ITER: 69739 RES: 1.6094e-05
Jacobi stage: ITER: 70065 RES: 1.5303e-05
Jacobi stage: ITER: 70393 RES: 1.4551e-05
Jacobi stage: ITER: 70721 RES: 1.3836e-05
Jacobi stage: ITER: 71047 RES: 1.3165e-05
Jacobi stage: ITER: 71375 RES: 1.2518e-05
Jacobi stage: ITER: 71703 RES: 1.1903e-05
Jacobi stage: ITER: 72031 RES: 1.1318e-05
Jacobi stage: ITER: 72359 RES: 1.0762e-05
Jacobi stage: ITER: 72687 RES: 1.0233e-05
Jacobi stage: ITER: 73015 RES: 9.7304e-06
Jacobi stage: ITER: 73341 RES: 9.2523e-06
Jacobi stage: ITER: 73669 RES: 8.7977e-06
Jacobi stage: ITER: 73995 RES: 8.3706e-06
Jacobi stage: ITER: 74323 RES: 7.9593e-06
Jacobi stage: ITER: 74651 RES: 7.5682e-06
Jacobi stage: ITER: 74979 RES: 7.1964e-06
Jacobi stage: ITER: 75307 RES: 6.8428e-06
Jacobi stage: ITER: 75633 RES: 6.5066e-06
Jacobi stage: ITER: 75961 RES: 6.1869e-06
Jacobi stage: ITER: 76289 RES: 5.8829e-06
Jacobi stage: ITER: 76615 RES: 5.5973e-06
Jacobi stage: ITER: 76943 RES: 5.3223e-06
Jacobi stage: ITER: 77271 RES: 5.0608e-06
Jacobi stage: ITER: 77599 RES: 4.8122e-06
Jacobi stage: ITER: 77927 RES: 4.5757e-06
Jacobi stage: ITER: 78255 RES: 4.3509e-06
Jacobi stage: ITER: 78581 RES: 4.1371e-06
Jacobi stage: ITER: 78909 RES: 3.9339e-06
Jacobi stage: ITER: 79235 RES: 3.7429e-06
Jacobi stage: ITER: 79563 RES: 3.559e-06
Jacobi stage: ITER: 79891 RES: 3.3841e-06
Jacobi stage: ITER: 80219 RES: 3.2178e-06
Jacobi stage: ITER: 80547 RES: 3.0597e-06
Jacobi stage: ITER: 80875 RES: 2.9094e-06
Jacobi stage: ITER: 81201 RES: 2.7664e-06
Jacobi stage: ITER: 81529 RES: 2.6305e-06
Jacobi stage: ITER: 81857 RES: 2.5013e-06
Jacobi stage: ITER: 82183 RES: 2.3798e-06
Jacobi stage: ITER: 82511 RES: 2.2629e-06
Jacobi stage: ITER: 82839 RES: 2.1517e-06
Jacobi stage: ITER: 83167 RES: 2.046e-06
Jacobi stage: ITER: 83495 RES: 1.9455e-06
Jacobi stage: ITER: 83823 RES: 1.8499e-06
Jacobi stage: ITER: 84149 RES: 1.759e-06
Jacobi stage: ITER: 84477 RES: 1.6726e-06
Jacobi stage: ITER: 84803 RES: 1.5914e-06
Jacobi stage: ITER: 85131 RES: 1.5132e-06
Jacobi stage: ITER: 85459 RES: 1.4388e-06
Jacobi stage: ITER: 85787 RES: 1.3681e-06
Jacobi stage: ITER: 86115 RES: 1.3009e-06
Jacobi stage: ITER: 86443 RES: 1.237e-06
Jacobi stage: ITER: 86771 RES: 1.1762e-06
Jacobi stage: ITER: 87097 RES: 1.1184e-06
Jacobi stage: ITER: 87425 RES: 1.0635e-06
Jacobi stage: ITER: 87753 RES: 1.0112e-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 <TNL/Timer.h>
4#include <TNL/Matrices/SparseMatrix.h>
5#include <TNL/Devices/Sequential.h>
6#include <TNL/Devices/Cuda.h>
7#include <TNL/Solvers/Linear/Jacobi.h>
8
9template< typename Device >
10void
11iterativeLinearSolverExample()
12{
13
14
15
16
17
18
19
20
21
24 const int size( 5 );
26 matrix_ptr->setDimensions( size, size );
27 matrix_ptr->setRowCapacities( Vector( { 2, 3, 3, 3, 2 } ) );
28
30 {
31 const int rowIdx = row.getRowIndex();
32 if( rowIdx == 0 ) {
33 row.setElement( 0, rowIdx, 2.5 );
34 row.setElement( 1, rowIdx + 1, -1 );
35 }
36 else if( rowIdx == size - 1 ) {
37 row.setElement( 0, rowIdx - 1, -1.0 );
38 row.setElement( 1, rowIdx, 2.5 );
39 }
40 else {
41 row.setElement( 0, rowIdx - 1, -1.0 );
42 row.setElement( 1, rowIdx, 2.5 );
43 row.setElement( 2, rowIdx + 1, -1.0 );
44 }
45 };
46
47
48
49
50 matrix_ptr->forAllRows( f );
52
53
54
55
56 Vector x( size, 1.0 );
57 Vector b( size );
58 matrix_ptr->vectorProduct( x, b );
59 x = 0.0;
61
62
63
64
66 LinearSolver solver;
68 solver.setOmega( 0.0005 );
69
70
71
72
74 IterativeSolverMonitorType monitor;
76 monitor.setRefreshRate( 10 );
77 monitor.setVerbose( 1 );
78 monitor.setStage( "Jacobi stage:" );
80 monitor.setTimer( timer );
82 solver.setSolverMonitor( monitor );
83 solver.setConvergenceResidue( 1.0e-6 );
84 solver.solve( b, x );
85 monitor.stopMainLoop();
87}
88
89int
90main( int argc, char* argv[] )
91{
92 std::cout <<
"Solving linear system on host:\n";
93 iterativeLinearSolverExample< TNL::Devices::Sequential >();
94
95#ifdef __CUDACC__
96 std::cout <<
"Solving linear system on CUDA device:\n";
97 iterativeLinearSolverExample< TNL::Devices::Cuda >();
98#endif
99}
Class for real time, CPU time and CPU cycles measuring.
Definition Timer.h:25
void start()
Starts timer.
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:1.602e-0
ELA: 0.10013 Jacobi stage: ITER: 19321 RES: 0.037139
ELA: 0.20027 Jacobi stage: ITER: 40639 RES: 0.0014048
ELA: 0.30038 Jacobi stage: ITER: 61907 RES: 5.3562e-05
ELA: 0.4005 Jacobi stage: ITER: 83047 RES: 2.0828e-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:3.0027e-
ELA: 0.10015 Jacobi stage: ITER: 491 RES: 0.85335
ELA: 0.20027 Jacobi stage: ITER: 895 RES: 0.7597
ELA: 0.30116 Jacobi stage: ITER: 1223 RES: 0.69712
ELA: 0.40127 Jacobi stage: ITER: 1547 RES: 0.64438
ELA: 0.50138 Jacobi stage: ITER: 1873 RES: 0.59823
ELA: 0.6015 Jacobi stage: ITER: 2197 RES: 0.55834
ELA: 0.70161 Jacobi stage: ITER: 2523 RES: 0.523
ELA: 0.80172 Jacobi stage: ITER: 2827 RES: 0.49321
ELA: 0.90184 Jacobi stage: ITER: 3117 RES: 0.46716
ELA: 1.0019 Jacobi stage: ITER: 3363 RES: 0.44702
ELA: 1.1021 Jacobi stage: ITER: 3629 RES: 0.42639
ELA: 1.2022 Jacobi stage: ITER: 3869 RES: 0.40907
ELA: 1.3023 Jacobi stage: ITER: 4187 RES: 0.38774
ELA: 1.4024 Jacobi stage: ITER: 4541 RES: 0.36546
ELA: 1.5025 Jacobi stage: ITER: 4927 RES: 0.34323
ELA: 1.6026 Jacobi stage: ITER: 5247 RES: 0.32596
ELA: 1.7027 Jacobi stage: ITER: 5495 RES: 0.31328
ELA: 1.8032 Jacobi stage: ITER: 5797 RES: 0.29851
ELA: 1.9033 Jacobi stage: ITER: 5975 RES: 0.29032
ELA: 2.0034 Jacobi stage: ITER: 6155 RES: 0.28221
ELA: 2.1035 Jacobi stage: ITER: 6297 RES: 0.27589
ELA: 2.2036 Jacobi stage: ITER: 6487 RES: 0.26788
ELA: 2.3037 Jacobi stage: ITER: 6687 RES: 0.25964
ELA: 2.4042 Jacobi stage: ITER: 6931 RES: 0.24994
ELA: 2.5043 Jacobi stage: ITER: 7053 RES: 0.24516
ELA: 2.6072 Jacobi stage: ITER: 7209 RES: 0.23929
ELA: 2.7073 Jacobi stage: ITER: 7311 RES: 0.2356
ELA: 2.8074 Jacobi stage: ITER: 7445 RES: 0.23068
ELA: 2.9075 Jacobi stage: ITER: 7747 RES: 0.2202
ELA: 3.0076 Jacobi stage: ITER: 8113 RES: 0.20802
ELA: 3.1077 Jacobi stage: ITER: 8351 RES: 0.20057
ELA: 3.2079 Jacobi stage: ITER: 8785 RES: 0.18752
ELA: 3.308 Jacobi stage: ITER: 9525 RES: 0.16731
ELA: 3.4081 Jacobi stage: ITER: 9849 RES: 0.15918
ELA: 3.5082 Jacobi stage: ITER: 10163 RES: 0.15171
ELA: 3.6084 Jacobi stage: ITER: 10513 RES: 0.14372
ELA: 3.7085 Jacobi stage: ITER: 10837 RES: 0.13673
ELA: 3.8086 Jacobi stage: ITER: 11169 RES: 0.12993
ELA: 3.9092 Jacobi stage: ITER: 11487 RES: 0.12377
ELA: 4.0093 Jacobi stage: ITER: 11791 RES: 0.11812
ELA: 4.1094 Jacobi stage: ITER: 12119 RES: 0.11232
ELA: 4.2095 Jacobi stage: ITER: 12451 RES: 0.10673
ELA: 4.3096 Jacobi stage: ITER: 12773 RES: 0.10155
ELA: 4.4098 Jacobi stage: ITER: 13067 RES: 0.097092
ELA: 4.5099 Jacobi stage: ITER: 13391 RES: 0.092377
ELA: 4.61 Jacobi stage: ITER: 13723 RES: 0.087784
ELA: 4.7101 Jacobi stage: ITER: 14041 RES: 0.083573
ELA: 4.8102 Jacobi stage: ITER: 14367 RES: 0.079515
ELA: 4.9104 Jacobi stage: ITER: 14683 RES: 0.075747
ELA: 5.0105 Jacobi stage: ITER: 14981 RES: 0.072336
ELA: 5.1106 Jacobi stage: ITER: 15295 RES: 0.068951
ELA: 5.2112 Jacobi stage: ITER: 15611 RES: 0.065684
ELA: 5.3113 Jacobi stage: ITER: 15939 RES: 0.062457
ELA: 5.4114 Jacobi stage: ITER: 16271 RES: 0.059351
ELA: 5.5117 Jacobi stage: ITER: 16583 RES: 0.056574
ELA: 5.6119 Jacobi stage: ITER: 16889 RES: 0.05396
ELA: 5.7132 Jacobi stage: ITER: 17221 RES: 0.051277
ELA: 5.8133 Jacobi stage: ITER: 17523 RES: 0.048968
ELA: 5.9134 Jacobi stage: ITER: 17843 RES: 0.046619
ELA: 6.0135 Jacobi stage: ITER: 18161 RES: 0.044383
ELA: 6.1142 Jacobi stage: ITER: 18493 RES: 0.042176
ELA: 6.2143 Jacobi stage: ITER: 18817 RES: 0.040129
ELA: 6.3144 Jacobi stage: ITER: 19139 RES: 0.038204
ELA: 6.4145 Jacobi stage: ITER: 19459 RES: 0.036372
ELA: 6.5146 Jacobi stage: ITER: 19783 RES: 0.034606
ELA: 6.6147 Jacobi stage: ITER: 20093 RES: 0.032986
ELA: 6.7148 Jacobi stage: ITER: 20401 RES: 0.031462
ELA: 6.815 Jacobi stage: ITER: 20727 RES: 0.029935
ELA: 6.9151 Jacobi stage: ITER: 21055 RES: 0.028464
ELA: 7.0152 Jacobi stage: ITER: 21369 RES: 0.027115
ELA: 7.1157 Jacobi stage: ITER: 21685 RES: 0.025831
ELA: 7.2159 Jacobi stage: ITER: 22013 RES: 0.024562
ELA: 7.316 Jacobi stage: ITER: 22335 RES: 0.023383
ELA: 7.4161 Jacobi stage: ITER: 22663 RES: 0.022235
ELA: 7.5163 Jacobi stage: ITER: 22971 RES: 0.021207
ELA: 7.6192 Jacobi stage: ITER: 23307 RES: 0.02014
ELA: 7.7193 Jacobi stage: ITER: 23623 RES: 0.019186
ELA: 7.8194 Jacobi stage: ITER: 23951 RES: 0.018244
ELA: 7.9201 Jacobi stage: ITER: 24261 RES: 0.01739
ELA: 8.0202 Jacobi stage: ITER: 24583 RES: 0.016556
ELA: 8.1203 Jacobi stage: ITER: 24903 RES: 0.015762
ELA: 8.2204 Jacobi stage: ITER: 25227 RES: 0.014996
ELA: 8.3205 Jacobi stage: ITER: 25555 RES: 0.01426
ELA: 8.422 Jacobi stage: ITER: 25885 RES: 0.013551
ELA: 8.5235 Jacobi stage: ITER: 26211 RES: 0.012893
ELA: 8.6237 Jacobi stage: ITER: 26513 RES: 0.012305
ELA: 8.7238 Jacobi stage: ITER: 26825 RES: 0.011729
ELA: 8.8252 Jacobi stage: ITER: 27155 RES: 0.011153
ELA: 8.9253 Jacobi stage: ITER: 27479 RES: 0.010611
ELA: 9.0254 Jacobi stage: ITER: 27787 RES: 0.010121
ELA: 9.1255 Jacobi stage: ITER: 28083 RES: 0.009671
ELA: 9.2256 Jacobi stage: ITER: 28395 RES: 0.0092184
ELA: 9.3257 Jacobi stage: ITER: 28711 RES: 0.0087817
ELA: 9.4302 Jacobi stage: ITER: 29053 RES: 0.0083297
ELA: 9.5303 Jacobi stage: ITER: 29375 RES: 0.0079302
ELA: 9.6304 Jacobi stage: ITER: 29707 RES: 0.0075359
ELA: 9.7305 Jacobi stage: ITER: 30055 RES: 0.0071437
ELA: 9.8306 Jacobi stage: ITER: 30351 RES: 0.0068261
ELA: 9.9307 Jacobi stage: ITER: 30679 RES: 0.0064907
ELA: 10.031 Jacobi stage: ITER: 31007 RES: 0.0061718
ELA: 10.131 Jacobi stage: ITER: 31335 RES: 0.0058686
ELA: 10.231 Jacobi stage: ITER: 31663 RES: 0.0055802
ELA: 10.331 Jacobi stage: ITER: 31991 RES: 0.0053061
ELA: 10.431 Jacobi stage: ITER: 32319 RES: 0.0050454
ELA: 10.531 Jacobi stage: ITER: 32647 RES: 0.0047975
ELA: 10.631 Jacobi stage: ITER: 32975 RES: 0.0045618
ELA: 10.732 Jacobi stage: ITER: 33301 RES: 0.0043376
ELA: 10.832 Jacobi stage: ITER: 33629 RES: 0.0041245
ELA: 10.932 Jacobi stage: ITER: 33955 RES: 0.0039243
ELA: 11.032 Jacobi stage: ITER: 34285 RES: 0.0037292
ELA: 11.132 Jacobi stage: ITER: 34613 RES: 0.0035459
ELA: 11.232 Jacobi stage: ITER: 34941 RES: 0.0033717
ELA: 11.332 Jacobi stage: ITER: 35267 RES: 0.003208
ELA: 11.432 Jacobi stage: ITER: 35595 RES: 0.0030504
ELA: 11.533 Jacobi stage: ITER: 35923 RES: 0.0029005
ELA: 11.633 Jacobi stage: ITER: 36251 RES: 0.002758
ELA: 11.733 Jacobi stage: ITER: 36579 RES: 0.0026225
ELA: 11.833 Jacobi stage: ITER: 36905 RES: 0.0024936
ELA: 11.933 Jacobi stage: ITER: 37235 RES: 0.0023711
ELA: 12.033 Jacobi stage: ITER: 37583 RES: 0.0022477
ELA: 12.133 Jacobi stage: ITER: 37911 RES: 0.0021373
ELA: 12.233 Jacobi stage: ITER: 38239 RES: 0.0020323
ELA: 12.333 Jacobi stage: ITER: 38567 RES: 0.0019324
ELA: 12.433 Jacobi stage: ITER: 38895 RES: 0.0018375
ELA: 12.534 Jacobi stage: ITER: 39223 RES: 0.0017472
ELA: 12.634 Jacobi stage: ITER: 39551 RES: 0.0016613
ELA: 12.734 Jacobi stage: ITER: 39877 RES: 0.0015797
ELA: 12.834 Jacobi stage: ITER: 40205 RES: 0.0015021
ELA: 12.934 Jacobi stage: ITER: 40533 RES: 0.0014283
ELA: 13.034 Jacobi stage: ITER: 40861 RES: 0.0013581
ELA: 13.134 Jacobi stage: ITER: 41187 RES: 0.0012922
ELA: 13.234 Jacobi stage: ITER: 41515 RES: 0.0012287
ELA: 13.335 Jacobi stage: ITER: 41843 RES: 0.0011683
ELA: 13.435 Jacobi stage: ITER: 42171 RES: 0.0011109
ELA: 13.535 Jacobi stage: ITER: 42499 RES: 0.0010563
ELA: 13.635 Jacobi stage: ITER: 42827 RES: 0.0010044
ELA: 13.735 Jacobi stage: ITER: 43155 RES: 0.00095508
ELA: 13.835 Jacobi stage: ITER: 43483 RES: 0.00090816
ELA: 13.935 Jacobi stage: ITER: 43811 RES: 0.00086354
ELA: 14.035 Jacobi stage: ITER: 44137 RES: 0.00082111
ELA: 14.135 Jacobi stage: ITER: 44465 RES: 0.00078076
ELA: 14.236 Jacobi stage: ITER: 44793 RES: 0.0007424
ELA: 14.336 Jacobi stage: ITER: 45119 RES: 0.00070636
ELA: 14.436 Jacobi stage: ITER: 45447 RES: 0.00067165
ELA: 14.536 Jacobi stage: ITER: 45811 RES: 0.00063513
ELA: 14.636 Jacobi stage: ITER: 46139 RES: 0.00060393
ELA: 14.736 Jacobi stage: ITER: 46465 RES: 0.00057425
ELA: 14.836 Jacobi stage: ITER: 46793 RES: 0.00054604
ELA: 14.936 Jacobi stage: ITER: 47121 RES: 0.00051921
ELA: 15.036 Jacobi stage: ITER: 47447 RES: 0.000494
ELA: 15.137 Jacobi stage: ITER: 47775 RES: 0.00046973
ELA: 15.237 Jacobi stage: ITER: 48103 RES: 0.00044665
ELA: 15.337 Jacobi stage: ITER: 48431 RES: 0.00042471
ELA: 15.437 Jacobi stage: ITER: 48759 RES: 0.00040384
ELA: 15.537 Jacobi stage: ITER: 49087 RES: 0.000384
ELA: 15.637 Jacobi stage: ITER: 49415 RES: 0.00036513
ELA: 15.737 Jacobi stage: ITER: 49741 RES: 0.00034719
ELA: 15.837 Jacobi stage: ITER: 50069 RES: 0.00033013
ELA: 15.938 Jacobi stage: ITER: 50397 RES: 0.00031391
ELA: 16.038 Jacobi stage: ITER: 50723 RES: 0.00029867
ELA: 16.138 Jacobi stage: ITER: 51051 RES: 0.000284
ELA: 16.238 Jacobi stage: ITER: 51377 RES: 0.00027004
ELA: 16.338 Jacobi stage: ITER: 51705 RES: 0.00025677
ELA: 16.438 Jacobi stage: ITER: 52031 RES: 0.00024431
ELA: 16.538 Jacobi stage: ITER: 52359 RES: 0.0002323
ELA: 16.638 Jacobi stage: ITER: 52687 RES: 0.00022089
ELA: 16.738 Jacobi stage: ITER: 53015 RES: 0.00021004
ELA: 16.839 Jacobi stage: ITER: 53343 RES: 0.00019972
ELA: 16.939 Jacobi stage: ITER: 53671 RES: 0.00018991
ELA: 17.039 Jacobi stage: ITER: 53999 RES: 0.00018057
ELA: 17.139 Jacobi stage: ITER: 54325 RES: 0.0001717
ELA: 17.239 Jacobi stage: ITER: 54653 RES: 0.00016327
ELA: 17.339 Jacobi stage: ITER: 54981 RES: 0.00015524
ELA: 17.439 Jacobi stage: ITER: 55309 RES: 0.00014762
ELA: 17.539 Jacobi stage: ITER: 55635 RES: 0.00014045
ELA: 17.64 Jacobi stage: ITER: 55963 RES: 0.00013355
ELA: 17.74 Jacobi stage: ITER: 56291 RES: 0.00012699
ELA: 17.84 Jacobi stage: ITER: 56619 RES: 0.00012075
ELA: 17.94 Jacobi stage: ITER: 56947 RES: 0.00011482
ELA: 18.04 Jacobi stage: ITER: 57275 RES: 0.00010917
ELA: 18.14 Jacobi stage: ITER: 57601 RES: 0.00010381
ELA: 18.24 Jacobi stage: ITER: 57929 RES: 9.8709e-05
ELA: 18.34 Jacobi stage: ITER: 58257 RES: 9.386e-05
ELA: 18.441 Jacobi stage: ITER: 58583 RES: 8.9303e-05
ELA: 18.541 Jacobi stage: ITER: 58911 RES: 8.4915e-05
ELA: 18.641 Jacobi stage: ITER: 59239 RES: 8.0743e-05
ELA: 18.741 Jacobi stage: ITER: 59567 RES: 7.6776e-05
ELA: 18.841 Jacobi stage: ITER: 59895 RES: 7.3004e-05
ELA: 18.941 Jacobi stage: ITER: 60223 RES: 6.9417e-05
ELA: 19.041 Jacobi stage: ITER: 60549 RES: 6.6006e-05
ELA: 19.141 Jacobi stage: ITER: 60877 RES: 6.2763e-05
ELA: 19.242 Jacobi stage: ITER: 61205 RES: 5.9679e-05
ELA: 19.342 Jacobi stage: ITER: 61533 RES: 5.6747e-05
ELA: 19.442 Jacobi stage: ITER: 61859 RES: 5.3992e-05
ELA: 19.542 Jacobi stage: ITER: 62187 RES: 5.1339e-05
ELA: 19.642 Jacobi stage: ITER: 62515 RES: 4.8817e-05
ELA: 19.742 Jacobi stage: ITER: 62843 RES: 4.6418e-05
ELA: 19.842 Jacobi stage: ITER: 63171 RES: 4.4137e-05
ELA: 19.942 Jacobi stage: ITER: 63499 RES: 4.1969e-05
ELA: 20.043 Jacobi stage: ITER: 63827 RES: 3.9907e-05
ELA: 20.143 Jacobi stage: ITER: 64153 RES: 3.7946e-05
ELA: 20.243 Jacobi stage: ITER: 64481 RES: 3.6082e-05
ELA: 20.343 Jacobi stage: ITER: 64809 RES: 3.4309e-05
ELA: 20.443 Jacobi stage: ITER: 65135 RES: 3.2643e-05
ELA: 20.543 Jacobi stage: ITER: 65463 RES: 3.1039e-05
ELA: 20.643 Jacobi stage: ITER: 65791 RES: 2.9514e-05
ELA: 20.744 Jacobi stage: ITER: 66119 RES: 2.8064e-05
ELA: 20.844 Jacobi stage: ITER: 66447 RES: 2.6685e-05
ELA: 20.944 Jacobi stage: ITER: 66775 RES: 2.5374e-05
ELA: 21.044 Jacobi stage: ITER: 67101 RES: 2.4127e-05
ELA: 21.144 Jacobi stage: ITER: 67429 RES: 2.2942e-05
ELA: 21.244 Jacobi stage: ITER: 67757 RES: 2.1815e-05
ELA: 21.344 Jacobi stage: ITER: 68085 RES: 2.0743e-05
ELA: 21.444 Jacobi stage: ITER: 68411 RES: 1.9736e-05
ELA: 21.545 Jacobi stage: ITER: 68739 RES: 1.8766e-05
ELA: 21.645 Jacobi stage: ITER: 69067 RES: 1.7844e-05
ELA: 21.745 Jacobi stage: ITER: 69395 RES: 1.6967e-05
ELA: 21.845 Jacobi stage: ITER: 69723 RES: 1.6134e-05
ELA: 21.945 Jacobi stage: ITER: 70051 RES: 1.5341e-05
ELA: 22.045 Jacobi stage: ITER: 70377 RES: 1.4587e-05
ELA: 22.145 Jacobi stage: ITER: 70705 RES: 1.3871e-05
ELA: 22.245 Jacobi stage: ITER: 71031 RES: 1.3197e-05
ELA: 22.345 Jacobi stage: ITER: 71359 RES: 1.2549e-05
ELA: 22.445 Jacobi stage: ITER: 71687 RES: 1.1932e-05
ELA: 22.546 Jacobi stage: ITER: 72015 RES: 1.1346e-05
ELA: 22.646 Jacobi stage: ITER: 72343 RES: 1.0788e-05
ELA: 22.746 Jacobi stage: ITER: 72671 RES: 1.0258e-05
ELA: 22.846 Jacobi stage: ITER: 72997 RES: 9.7543e-06
ELA: 22.946 Jacobi stage: ITER: 73325 RES: 9.2751e-06
ELA: 23.046 Jacobi stage: ITER: 73653 RES: 8.8194e-06
ELA: 23.146 Jacobi stage: ITER: 73981 RES: 8.386e-06
ELA: 23.246 Jacobi stage: ITER: 74307 RES: 7.9789e-06
ELA: 23.346 Jacobi stage: ITER: 74635 RES: 7.5869e-06
ELA: 23.447 Jacobi stage: ITER: 74963 RES: 7.2141e-06
ELA: 23.547 Jacobi stage: ITER: 75291 RES: 6.8597e-06
ELA: 23.647 Jacobi stage: ITER: 75619 RES: 6.5226e-06
ELA: 23.747 Jacobi stage: ITER: 75947 RES: 6.2021e-06
ELA: 23.847 Jacobi stage: ITER: 76273 RES: 5.8974e-06
ELA: 23.947 Jacobi stage: ITER: 76601 RES: 5.6076e-06
ELA: 24.047 Jacobi stage: ITER: 76929 RES: 5.3321e-06
ELA: 24.147 Jacobi stage: ITER: 77255 RES: 5.0733e-06
ELA: 24.247 Jacobi stage: ITER: 77585 RES: 4.821e-06
ELA: 24.348 Jacobi stage: ITER: 77913 RES: 4.5842e-06
ELA: 24.448 Jacobi stage: ITER: 78241 RES: 4.3589e-06
ELA: 24.548 Jacobi stage: ITER: 78567 RES: 4.1473e-06
ELA: 24.648 Jacobi stage: ITER: 78895 RES: 3.9435e-06
ELA: 24.748 Jacobi stage: ITER: 79223 RES: 3.7498e-06
ELA: 24.848 Jacobi stage: ITER: 79551 RES: 3.5655e-06
ELA: 24.948 Jacobi stage: ITER: 79879 RES: 3.3903e-06
ELA: 25.048 Jacobi stage: ITER: 80207 RES: 3.2238e-06
ELA: 25.148 Jacobi stage: ITER: 80533 RES: 3.0654e-06
ELA: 25.249 Jacobi stage: ITER: 80887 RES: 2.904e-06
ELA: 25.349 Jacobi stage: ITER: 81215 RES: 2.7614e-06
ELA: 25.449 Jacobi stage: ITER: 81543 RES: 2.6257e-06
ELA: 25.549 Jacobi stage: ITER: 81871 RES: 2.4967e-06
ELA: 25.649 Jacobi stage: ITER: 82199 RES: 2.374e-06
ELA: 25.749 Jacobi stage: ITER: 82527 RES: 2.2574e-06
ELA: 25.849 Jacobi stage: ITER: 82855 RES: 2.1464e-06
ELA: 25.949 Jacobi stage: ITER: 83181 RES: 2.041e-06
ELA: 26.049 Jacobi stage: ITER: 83509 RES: 1.9407e-06
ELA: 26.15 Jacobi stage: ITER: 83837 RES: 1.8454e-06
ELA: 26.25 Jacobi stage: ITER: 84247 RES: 1.7333e-06
ELA: 26.35 Jacobi stage: ITER: 84757 RES: 1.6022e-06
ELA: 26.45 Jacobi stage: ITER: 85249 RES: 1.4855e-06
ELA: 26.55 Jacobi stage: ITER: 85743 RES: 1.3774e-06
ELA: 26.65 Jacobi stage: ITER: 86235 RES: 1.2772e-06
ELA: 26.75 Jacobi stage: ITER: 86727 RES: 1.1842e-06
ELA: 26.85 Jacobi stage: ITER: 87219 RES: 1.098e-06
ELA: 26.95 Jacobi stage: ITER: 87711 RES: 1.0181e-06
Vector x = [ 0.999999, 0.999999, 0.999998, 0.999999, 0.999999 ]