23-Aug-2022 07:01:53

r8ge_np_test():
  MATLAB version
  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 11
  Exact value is 11

R8GE_NP_FA_TEST
  R8GE_NP_FA LU factors an R8GE matrix without pivoting.

  Matrix order N = 10

  Solution:

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

  Solution:

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

  Solution of transposed system:

     1:            1
     2:            2
     3:            3
     4:            4
     5:            5
     6:            6
     7:            7
     8:            8
     9:            9
    10:           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 random matrix:

  Col:       1             2             3             4             5       
  Row
  ---
   1      0.218418     0.0661187     0.0617272    0.00183837      0.859097  
   2      0.956318      0.257578      0.449539      0.897504      0.840847  
   3      0.829509      0.109957      0.401306      0.350752      0.123104  
   4      0.561695      0.043829      0.754673     0.0945448    0.00751236  
   5      0.415307      0.633966      0.797287     0.0136169      0.260303  

  B so far

  Col:       1             2             3             4             5       
  Row
  ---
   1       4.57837       9.48509       3.16785      -1.05328    -0.0840984  
   2      -4.37838      -31.3333      -8.97338       1.56317       1.67928  
   3       -3.7978      -4.42266      -1.59747       2.06331    0.00285593  
   4      -2.57165      -3.95443     -0.180503     -0.359782     -0.293107  
   5      -1.90143        15.925       5.64683      -2.19371     -0.107439  

  The inverse matrix:

  Col:       1             2             3             4             5       
  Row
  ---
   1      0.625209       -1.0222       2.84978     -0.868794    -0.0840984  
   2     -0.471548     -0.149728      0.892032       -2.1207       1.67928  
   3     -0.274368      0.546937      -1.95265       2.05705    0.00285593  
   4      -1.39029       1.75848      -1.70625      0.283212     -0.293107  
   5       1.06404      0.228349     -0.649235      0.235691     -0.107439  

  The product:

  Col:       1             2             3             4             5       
  Row
  ---
   1             1  -6.10623e-16             0  -5.55112e-17             0  
   2   9.76996e-15             1   1.11022e-16  -2.77556e-17  -4.16334e-17  
   3     3.747e-15  -9.15934e-16             1  -1.73472e-17   6.07153e-17  
   4   3.64292e-15   -8.3592e-16  -4.04191e-16             1   6.98226e-17  
   5    2.4758e-14  -4.20497e-15  -1.22125e-15  -6.17562e-16             1  

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

     1:        32.6597         32.6597
     2:        30.7617         30.7617
     3:         20.173          20.173
     4:        24.1126         24.1126
     5:        30.7597         30.7597
     6:        32.7342         32.7342
     7:        28.0252         28.0252
     8:        28.3091         28.3091
     9:        28.7501         28.7501
    10:        17.3141         17.3141

  A'*x and (PLU)'*x

     1:         29.518          29.518
     2:        34.2533         34.2533
     3:        29.9813         29.9813
     4:        25.9818         25.9818
     5:        28.7133         28.7133
     6:         28.373          28.373
     7:        33.4872         33.4872
     8:        26.6124         26.6124
     9:        24.8414         24.8414
    10:         26.539          26.539

R8GE_NP_SL_TEST
  R8GE_NP_SL solves a linear system factored by R8GE_NP_FA.

  Matrix order N = 10

  Solution:

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

  Solution:

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

  Solution of transposed system:

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

R8GE_NP_TRF_TEST
  R8GE_NP_TRF factors an R8GE matrix without pivoting,

  Matrix rows M =    10
  Matrix columns N = 10

  Solution:

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

  Solution:

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

  Solution of transposed system:

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

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

  Solution:

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

  Solution of transposed system:

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

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

  Solution:

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

  Solution of transposed system:

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

r8ge_np_test():
  Normal end of execution.

23-Aug-2022 07:01:53