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Jacobi Test 1
Original Random Matrix
2 7 2 1 7
7 9 5 7 9
2 5 8 5 2
1 7 5 7 4
7 9 2 4 4
Diagonalized Matrix
-2.7610 0.0000 -0.0000 -0.0000 -0.0000
-0.0000 26.9847 0.0000 -0.0000 0.0000
-0.0000 0.0000 -4.4905 -0.0000 -0.0000
-0.0000 -0.0000 -0.0000 7.5143 -0.0000
-0.0000 0.0000 -0.0000 -0.0000 2.7526
Number of iterations
24
Off(DiagonalizedMatrix)
1.5783e-010
Jacobi Test 2
Original Random Matrix
2 1 1 8 3
1 6 7 7 7
1 7 2 0 6
8 7 0 7 2
3 7 6 2 0
Diagonalized Matrix
8.7427 0.0000 0.0000 0.0000 0.0000
0.0000 -0.4813 0.0000 -0.0000 0.0000
0.0000 0.0000 -7.4105 -0.0000 -0.0000
0.0000 -0.0000 -0.0000 21.3979 -0.0000
0.0000 0.0000 -0.0000 -0.0000 -5.2488
Number of iterations
26
Off(DiagonalizedMatrix)
3.3812e-012
Jacobi Test 3
Original Random Matrix
6 8 4 9 7
8 4 3 4 6
4 3 2 8 9
9 4 8 3 9
7 6 9 9 7
Diagonalized Matrix
3.6112 0.0000 -0.0000 -0.0000 -0.0000
0.0000 -4.8804 0.0000 0.0000 -0.0000
-0.0000 0.0000 -1.4547 -0.0000 -0.0000
-0.0000 -0.0000 -0.0000 -7.1750 0.0000
-0.0000 -0.0000 -0.0000 0.0000 31.8990
Number of iterations
28
Off(DiagonalizedMatrix)
7.0633e-010
Jacobi Test 4
Original Random Matrix
2 8 4 9 7
8 1 4 2 2
4 4 7 0 3
9 2 0 1 8
7 2 3 8 5
Diagonalized Matrix
-5.1141 0.0000 -0.0000 -0.0000 0.0000
0.0000 0.9283 -0.0000 -0.0000 -0.0000
-0.0000 -0.0000 -9.6521 -0.0000 -0.0000
0.0000 -0.0000 -0.0000 6.8979 -0.0000
0.0000 -0.0000 -0.0000 -0.0000 22.9400
Number of iterations
23
Off(DiagonalizedMatrix)
1.2512e-010
Jacobi Test 5
Original Random Matrix
5 1 7 7 5
1 9 0 8 4
7 0 1 6 7
7 8 6 8 9
5 4 7 9 3
Diagonalized Matrix
28.0357 -0.0000 0.0000 0.0000 0.0000
-0.0000 9.0016 0.0000 -0.0000 0.0000
0.0000 0.0000 -6.2099 0.0000 -0.0000
0.0000 -0.0000 0.0000 -3.5870 0.0000
0.0000 0.0000 -0.0000 0.0000 -1.2404
Number of iterations
26
Off(DiagonalizedMatrix)
1.3469e-010
Jacobi Test 6
Original Random Matrix
6 5 9 5 7
5 4 4 1 9
9 4 5 6 8
5 1 6 4 2
7 9 8 2 8
Diagonalized Matrix
29.1661 0.0000 -0.0000 -0.0000 0.0000
0.0000 6.3149 0.0000 -0.0000 0.0000
0.0000 0.0000 -4.7819 0.0000 0.0000
-0.0000 -0.0000 0.0000 -2.4641 0.0000
0.0000 0.0000 0.0000 0.0000 -1.2349
Number of iterations
26
Off(DiagonalizedMatrix)
2.3806e-010
Jacobi Test 7
Original Random Matrix
6 3 6 9 8
3 2 4 1 3
6 4 2 2 4
9 1 2 0 9
8 3 4 9 2
Diagonalized Matrix
-1.7769 0.0000 0.0000 -0.0000 0.0000
0.0000 3.0515 -0.0000 0.0000 0.0000
-0.0000 -0.0000 23.9327 -0.0000 0.0000
-0.0000 0.0000 -0.0000 -4.4198 -0.0000
0.0000 0.0000 0.0000 -0.0000 -8.7875
Number of iterations
26
Off(DiagonalizedMatrix)
7.6025e-012
Jacobi Test 8
Original Random Matrix
5 5 2 9 9
5 7 6 8 4
2 6 2 5 9
9 8 5 7 2
9 4 9 2 1
Diagonalized Matrix
28.3479 -0.0000 -0.0000 -0.0000 -0.0000
-0.0000 -2.3680 -0.0000 -0.0000 -0.0000
-0.0000 -0.0000 -11.2065 0.0000 0.0000
-0.0000 -0.0000 0.0000 2.8752 0.0000
-0.0000 -0.0000 0.0000 0.0000 4.3514
Number of iterations
24
Off(DiagonalizedMatrix)
1.3282e-010
Jacobi Test 9
Original Random Matrix
3 9 1 8 7
9 4 5 9 0
1 5 1 1 3
8 9 1 8 9
7 0 3 9 6
Diagonalized Matrix
-9.8518 -0.0000 -0.0000 0.0000 -0.0000
-0.0000 -2.8369 -0.0000 0.0000 0.0000
-0.0000 -0.0000 27.7951 0.0000 0.0000
0.0000 0.0000 0.0000 5.5164 0.0000
-0.0000 0.0000 0.0000 0.0000 1.3773
Number of iterations
28
Off(DiagonalizedMatrix)
1.0646e-010
Jacobi Test 10
Original Random Matrix
0 9 5 7 3
9 7 1 6 2
5 1 8 6 6
7 6 6 3 1
3 2 6 1 3
Diagonalized Matrix
1.0548 0.0000 0.0000 0.0000 -0.0000
0.0000 -7.3977 0.0000 0.0000 0.0000
0.0000 0.0000 23.2895 -0.0000 -0.0000
0.0000 0.0000 -0.0000 8.3727 -0.0000
-0.0000 0.0000 -0.0000 -0.0000 -4.3194
Number of iterations
29
Off(DiagonalizedMatrix)
2.8566e-011
Jacobi (No Sorting) Test 1
Original Random Matrix
2 7 2 1 7
7 9 5 7 9
2 5 8 5 2
1 7 5 7 4
7 9 2 4 4
Diagonalized Matrix
26.9847 -0.0000 0.0000 -0.0000 -0.0000
-0.0000 -4.4905 -0.0000 0.0000 -0.0000
0.0000 -0.0000 7.5143 -0.0000 -0.0000
-0.0000 0.0000 -0.0000 -2.7610 0.0000
-0.0000 -0.0000 -0.0000 0.0000 2.7526
Number of iterations
60
Off(DiagonalizedMatrix)
1.1376e-010
Jacobi (No Sorting) Test 2
Original Random Matrix
2 1 1 8 3
1 6 7 7 7
1 7 2 0 6
8 7 0 7 2
3 7 6 2 0
Diagonalized Matrix
-5.2488 0.0000 -0.0000 -0.0000 -0.0000
0.0000 21.3979 -0.0000 0.0000 -0.0000
-0.0000 0.0000 -7.4105 0.0000 0.0000
-0.0000 0.0000 0.0000 -0.4813 -0.0000
-0.0000 -0.0000 0.0000 -0.0000 8.7427
Number of iterations
81
Off(DiagonalizedMatrix)
8.4662e-011
Jacobi (No Sorting) Test 3
Original Random Matrix
6 8 4 9 7
8 4 3 4 6
4 3 2 8 9
9 4 8 3 9
7 6 9 9 7
Diagonalized Matrix
31.8990 0.0000 0.0000 -0.0000 -0.0000
0.0000 -1.4547 -0.0000 0.0000 -0.0000
0.0000 -0.0000 -7.1750 -0.0000 0.0000
0.0000 0.0000 -0.0000 -4.8804 -0.0000
-0.0000 -0.0000 0.0000 -0.0000 3.6112
Number of iterations
108
Off(DiagonalizedMatrix)
1.2376e-013
Jacobi (No Sorting) Test 4
Original Random Matrix
2 8 4 9 7
8 1 4 2 2
4 4 7 0 3
9 2 0 1 8
7 2 3 8 5
Diagonalized Matrix
0.9283 0.0000 -0.0000 -0.0000 0.0000
-0.0000 -5.1141 -0.0000 -0.0000 0.0000
-0.0000 -0.0000 22.9400 0.0000 0.0000
-0.0000 -0.0000 0.0000 6.8979 -0.0000
0.0000 0.0000 0.0000 -0.0000 -9.6521
Number of iterations
123
Off(DiagonalizedMatrix)
3.0574e-016
Jacobi (No Sorting) Test 5
Original Random Matrix
5 1 7 7 5
1 9 0 8 4
7 0 1 6 7
7 8 6 8 9
5 4 7 9 3
Diagonalized Matrix
9.0016 0.0000 0.0000 0.0000 -0.0000
0.0000 28.0357 -0.0000 -0.0000 -0.0000
0.0000 0 -1.2404 0.0000 0.0000
0.0000 -0.0000 0.0000 -6.2099 0.0000
-0.0000 -0.0000 0.0000 0.0000 -3.5870
Number of iterations
103
Off(DiagonalizedMatrix)
4.6866e-012
Jacobi (No Sorting) Test 6
Original Random Matrix
6 5 9 5 7
5 4 4 1 9
9 4 5 6 8
5 1 6 4 2
7 9 8 2 8
Diagonalized Matrix
29.1661 -0.0000 0.0000 0.0000 0.0000
-0.0000 6.3149 0.0000 0.0000 -0.0000
0.0000 0.0000 -1.2349 -0.0000 -0.0000
0.0000 0.0000 -0.0000 -4.7819 0.0000
0.0000 -0.0000 -0.0000 0.0000 -2.4641
Number of iterations
76
Off(DiagonalizedMatrix)
8.2883e-011
Jacobi (No Sorting) Test 7
Original Random Matrix
6 3 6 9 8
3 2 4 1 3
6 4 2 2 4
9 1 2 0 9
8 3 4 9 2
Diagonalized Matrix
-4.4198 -0.0000 0.0000 0.0000 0.0000
-0.0000 -1.7769 0.0000 -0.0000 0
0.0000 -0.0000 -8.7875 0.0000 0.0000
0.0000 -0.0000 0.0000 23.9327 -0.0000
0.0000 0.0000 0.0000 -0.0000 3.0515
Number of iterations
100
Off(DiagonalizedMatrix)
1.0117e-017
Jacobi (No Sorting) Test 8
Original Random Matrix
5 5 2 9 9
5 7 6 8 4
2 6 2 5 9
9 8 5 7 2
9 4 9 2 1
Diagonalized Matrix
4.3514 0.0000 -0.0000 0.0000 0.0000
0.0000 -2.3680 -0.0000 -0.0000 -0.0000
-0.0000 -0.0000 2.8752 0.0000 0.0000
0.0000 -0.0000 0.0000 28.3479 0.0000
0.0000 -0.0000 0.0000 0.0000 -11.2065
Number of iterations
74
Off(DiagonalizedMatrix)
1.3489e-010
Jacobi (No Sorting) Test 9
Original Random Matrix
3 9 1 8 7
9 4 5 9 0
1 5 1 1 3
8 9 1 8 9
7 0 3 9 6
Diagonalized Matrix
-2.8369 -0.0000 -0.0000 -0.0000 0.0000
-0.0000 5.5164 0.0000 0.0000 -0.0000
-0.0000 -0.0000 1.3773 -0.0000 -0.0000
-0.0000 0.0000 -0.0000 27.7951 0.0000
0.0000 0.0000 0.0000 -0.0000 -9.8518
Number of iterations
140
Off(DiagonalizedMatrix)
8.8389e-016
Jacobi (No Sorting) Test 10
Original Random Matrix
0 9 5 7 3
9 7 1 6 2
5 1 8 6 6
7 6 6 3 1
3 2 6 1 3
Diagonalized Matrix
23.2895 -0.0000 -0.0000 -0.0000 -0.0000
-0.0000 8.3727 -0.0000 -0.0000 0.0000
-0.0000 0.0000 -4.3194 0.0000 -0.0000
-0.0000 -0.0000 0.0000 -7.3977 0.0000
-0.0000 0.0000 -0.0000 0.0000 1.0548
Number of iterations
65
Off(DiagonalizedMatrix)
2.0719e-010
average number of iterations for WITH sorting:
26
average number of iterations for WITHOUT sorting:
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