Tue May 20 22:27:34 2025

r8ge_np_test():
  python version: 3.10.12
  numpy version:  1.26.4
  Test r8ge_np().

R8GE_NP_DET_TEST
  R8GE_NP_DET computes the determinant of a matrix
  that was factored by R8GE_NP_FA,

  Matrix order N =  10

  Determinant of -1, 2, -1 matrix is  10.999999999999998
  Exact value is  11

R8GE_NP_FA_TEST
  R8GE_NP_FA LU factors an R8GE matrix without pivoting.

  Matrix order N =  10

  Solution:

     0:             1
     1:             1
     2:             1
     3:             1
     4:             1
     5:             1
     6:             1
     7:             1
     8:             1
     9:             1

  Solution:

     0:             1
     1:             2
     2:             3
     3:             4
     4:             5
     5:             6
     6:             7
     7:             8
     8:             9
     9:            10

  Solution of transposed system:

     0:             1
     1:             2
     2:             3
     3:             4
     4:             5
     5:             6
     6:             7
     7:             8
     8:             9
     9:            10

R8GE_NP_INVERSE_TEST
  R8GE_NP_INVERSE computes the inverse of a matrix
  that was factored by R8GE_NP_FA.

  Matrix order N =  5

  The R8GE random matrix, A
[[0.96997682 0.17482496 0.10629471 0.22542441 0.38523807]
 [0.0588354  0.76046772 0.52419275 0.35331712 0.99235679]
 [0.98011228 0.12408712 0.95871245 0.11408017 0.11371645]
 [0.95161469 0.57466436 0.56620751 0.62610072 0.97239035]
 [0.63277575 0.64064988 0.74001459 0.24275853 0.43112123]]

  The inverse matrix, B
[[ 1.34393676 -0.12950002  0.04036737 -0.50985099  0.23649582]
 [ 0.38507663 -0.6707882  -1.74480151 -0.68448882  3.20401293]
 [-1.15700156  0.33172141  1.25773672  0.19153362 -0.49344761]
 [-3.84061626 -3.55821886 -1.42800869  4.74830124  1.28910377]
 [ 1.60379604  2.62105895  1.17874303 -1.23698223 -2.66765296]]

  C = A * B, the product
[[ 1.00000000e+00 -2.22044605e-16 -1.11022302e-16  5.55111512e-17
   0.00000000e+00]
 [-2.22044605e-16  1.00000000e+00 -4.44089210e-16  4.44089210e-16
   4.44089210e-16]
 [ 1.38777878e-16 -2.77555756e-16  1.00000000e+00  1.66533454e-16
   2.22044605e-16]
 [ 2.22044605e-16 -4.44089210e-16  0.00000000e+00  1.00000000e+00
   0.00000000e+00]
 [-2.22044605e-16 -8.88178420e-16 -4.44089210e-16  4.44089210e-16
   1.00000000e+00]]

R8GE_NP_ML_TEST
  R8GE_NP_ML computes A*x or A'*x for a matrix A
  already factored by R8GE_NP_FA.

  Matrix order N =  10

  A*x and PLU*x

       0:        26.8506       26.8506
       1:        22.8737       22.8737
       2:        18.2407       18.2407
       3:          17.27         17.27
       4:        28.6638       28.6638
       5:        22.4529       22.4529
       6:          24.47         24.47
       7:        23.4776       23.4776
       8:        22.4971       22.4971
       9:        25.1852       25.1852

  A'*x and (PLU)'*x

       0:         25.939        25.939
       1:        27.2595       27.2595
       2:        31.3161       31.3161
       3:        33.7721       33.7721
       4:         20.694        20.694
       5:        36.4207       36.4207
       6:        25.5406       25.5406
       7:        32.4011       32.4011
       8:        24.0153       24.0153
       9:        32.4613       32.4613

R8GE_NP_SL_TEST
  R8GE_NP_SL solves a linear system factored by R8GE_NP_FA.

  Matrix order N =  10

  Solution:

     0:             1
     1:             1
     2:             1
     3:             1
     4:             1
     5:             1
     6:             1
     7:             1
     8:             1
     9:             1

  Solution:

     0:             1
     1:             2
     2:             3
     3:             4
     4:             5
     5:             6
     6:             7
     7:             8
     8:             9
     9:            10

  Solution of transposed system:

     0:             1
     1:             2
     2:             3
     3:             4
     4:             5
     5:             6
     6:             7
     7:             8
     8:             9
     9:            10

R8GE_NP_TRF_TEST
  R8GE_NP_TRF factors an R8GE matrix without pivoting,

  Matrix rows M =     10
  Matrix columns N =  10

  Solution:

     0:             1
     1:             1
     2:             1
     3:             1
     4:             1
     5:             1
     6:             1
     7:             1
     8:             1
     9:             1

  Solution:

     0:             1
     1:             2
     2:             3
     3:             4
     4:             5
     5:             6
     6:             7
     7:             8
     8:             9
     9:            10

  Solution of transposed system:

     0:             1
     1:             2
     2:             3
     3:             4
     4:             5
     5:             6
     6:             7
     7:             8
     8:             9
     9:            10

R8GE_NP_TRM_TEST
  R8GE_NP_TRM computes A*x after A has been factored by R8GE_NP_TRF.

  Matrix rows M =     10
  Matrix columns N =  10

  Solution:

     0:             1
     1:             1
     2:             1
     3:             1
     4:             1
     5:             1
     6:             1
     7:             1
     8:             1
     9:             1

  Solution:

     0:             1
     1:             2
     2:             3
     3:             4
     4:             5
     5:             6
     6:             7
     7:             8
     8:             9
     9:            10

  Solution of transposed system:

     0:             1
     1:             2
     2:             3
     3:             4
     4:             5
     5:             6
     6:             7
     7:             8
     8:             9
     9:            10

R8GE_NP_TRS_TEST
  R8GE_NP_TRS solves a linear system factored by R8GE_NP_TRF.

  Matrix rows M =     10
  Matrix columns N =  10

  Solution:

     0:             1
     1:             1
     2:             1
     3:             1
     4:             1
     5:             1
     6:             1
     7:             1
     8:             1
     9:             1

  Solution:

     0:             1
     1:             2
     2:             3
     3:             4
     4:             5
     5:             6
     6:             7
     7:             8
     8:             9
     9:            10

  Solution of transposed system:

     0:             1
     1:             2
     2:             3
     3:             4
     4:             5
     5:             6
     6:             7
     7:             8
     8:             9
     9:            10

r8ge_np_test():
  Normal end of execution.
Tue May 20 22:27:34 2025