06 October 2025 01:23:05 AM

test_eigen_test():
  C version
  Test test_eigen().

r8symm_gen_test():
  r8symm_gen() generates an arbitrary size symmetric matrix
  with known eigenvalues and eigenvectors.

  The matrix A:

  Col:          0             1             2             3             4     
  Row

    0:       17.309402        0.362937        1.265092       -2.458011        1.324226
    1:        0.362937       14.744960       -2.937847        0.327304        0.841954
    2:        1.265092       -2.937847        8.987439       -0.245044       -0.072509
    3:       -2.458011        0.327304       -0.245044        9.185754       -0.999981
    4:        1.324226        0.841954       -0.072509       -0.999981        7.882553

  The eigenvector matrix Q:

  Col:          0             1             2             3             4     
  Row

    0:       -0.942365       -0.154899        0.059760        0.286076       -0.050426
    1:        0.005835        0.302012       -0.240557        0.070886       -0.919707
    2:       -0.134497        0.840144       -0.337188        0.148335        0.374659
    3:        0.270839        0.090085        0.459506        0.840717       -0.024090
    4:       -0.143073        0.413325        0.783403       -0.429334       -0.103177

  The eigenvalue vector LAMBDA:

         0:      18.395201
         1:       7.636156
         2:       7.169701
         3:       8.844379
         4:      16.064671

  LAMBDA versus the column norms of A*Q:

     0:      18.395201       18.395201
     1:       7.636156        7.636156
     2:       7.169701        7.169701
     3:       8.844379        8.844379
     4:      16.064671       16.064671

r8nsymm_gen_test():
  r8nsymm_gen() generates an arbitrary size nonsymmetric matrix
  with known eigenvalues and eigenvectors.

  The matrix A:

  Col:          0             1             2             3             4     
  Row

    0:       17.738514       10.461619       -0.593868        0.838091       19.863850
    1:        2.864163        8.572932       -1.482224        7.956250       10.128022
    2:        0.886824        3.203566        9.330810       -6.504149        3.813407
    3:       -0.110150       -7.998082       -3.393938        6.677942       -7.071955
    4:        1.885002       -1.924710       -1.701446        7.976627       22.843514

  The orthogonal factor Q:

  Col:          0             1             2             3             4     
  Row

    0:       -0.971742       -0.113392       -0.095441        0.004617        0.183655
    1:       -0.060062        0.009183       -0.561463        0.547318       -0.617665
    2:       -0.055243       -0.610593        0.651871        0.291615       -0.337860
    3:        0.047615       -0.570696       -0.370725       -0.677047       -0.276059
    4:       -0.216312        0.537159        0.336567       -0.396219       -0.628015

  The upper triangular T:

  Col:          0             1             2             3             4     
  Row

    0:       15.142788       11.700764       13.615755       10.431750        7.525547
    1:        0.000000       17.919726        7.477370        9.493159        7.971216
    2:        0.000000        0.000000        9.802677       11.223261       13.002196
    3:        0.000000        0.000000        0.000000        7.781384        8.945525
    4:        0.000000        0.000000        0.000000        0.000000       14.517136

  The eigenvalue vector LAMBDA:

         0:       7.781384
         1:       9.802677
         2:      14.517136
         3:      15.142788
         4:      17.919726

test_eigen_test():
  Normal end of execution.

06 October 2025 01:23:05 AM