Tue Aug 23 07:39:31 2022

r8ge_np_test():
  Python version: 3.6.9
  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
[[0.52443104 0.55218076 0.02964901 0.54398192 0.39568472]
 [0.11695021 0.31923684 0.09350822 0.25800002 0.68911447]
 [0.78863635 0.00718747 0.30313117 0.25656601 0.88139378]
 [0.80017965 0.3848524  0.67004309 0.01628026 0.49654146]
 [0.78502001 0.73645826 0.9001442  0.2577137  0.60054704]]

  The inverse matrix, B
[[ 1.08516036 -0.84945564  0.02197216  2.21246083 -1.60179602]
 [ 1.00737052  1.66767704 -2.31727464  3.02828636 -1.6802344 ]
 [-1.47916706 -1.20503672  1.19019203 -3.31720069  3.35326251]
 [ 0.24408757 -2.09654142  2.20633997 -5.57935477  3.61986959]
 [-0.5415063   1.77118415  0.08222333  0.76064412 -0.76004928]]

  C = A * B, the product
[[ 1.00000000e+00 -1.33226763e-15  5.68989300e-16 -9.43689571e-16
   4.44089210e-16]
 [ 7.77156117e-16  1.00000000e+00 -2.91433544e-16 -1.11022302e-16
   1.11022302e-16]
 [ 7.77156117e-16 -8.88178420e-16  1.00000000e+00 -9.99200722e-16
   5.55111512e-16]
 [ 1.66533454e-15 -2.44249065e-15  2.15105711e-16  1.00000000e+00
   3.33066907e-16]
 [ 2.66453526e-15 -2.44249065e-15 -1.04083409e-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:        24.2406       24.2406
       1:        12.9425       12.9425
       2:         31.285        31.285
       3:         27.901        27.901
       4:        23.7398       23.7398
       5:         30.245        30.245
       6:        24.1935       24.1935
       7:        26.0867       26.0867
       8:        27.1334       27.1334
       9:        28.8117       28.8117

  A'*x and (PLU)'*x

       0:         23.782        23.782
       1:         35.556        35.556
       2:        24.7938       24.7938
       3:        26.9103       26.9103
       4:        39.8748       39.8748
       5:        27.5538       27.5538
       6:        31.8767       31.8767
       7:        26.6884       26.6884
       8:        30.7617       30.7617
       9:        30.8024       30.8024

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 Aug 23 07:39:31 2022