05 June 2024 10:27:36 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:        9.794474        1.270801       -0.971290        1.300704       -2.470261
    1:        1.270801       13.964055        1.726591       -0.488823       -3.043957
    2:       -0.971290        1.726591       11.429126       -3.967395        2.133895
    3:        1.300704       -0.488823       -3.967395       11.105287       -2.608415
    4:       -2.470261       -3.043957        2.133895       -2.608415       11.817166

  The eigenvector matrix Q:

  Col:          0             1             2             3             4     
  Row

    0:        0.339299        0.408054       -0.095884        0.836585        0.096431
    1:        0.280538        0.328580       -0.182283       -0.386484        0.794189
    2:       -0.445337       -0.063111        0.722762        0.240486        0.466340
    3:        0.498567        0.388933        0.644569       -0.280508       -0.325590
    4:       -0.599400        0.755166       -0.140445       -0.119318       -0.191004

  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:       11.462137       -5.378458        0.383437       -0.082335        0.995969
    1:       -2.378957       11.457702       -2.174915       -0.670978       -2.056369
    2:       -4.637413        0.955193        8.040002       -8.402084       -4.137634
    3:       17.104502      -15.117066        5.490711       19.281863        8.446781
    4:       -9.942931      -15.514547       -9.349736       -0.418886        5.066260

  The orthogonal factor Q:

  Col:          0             1             2             3             4     
  Row

    0:       -0.003500        0.025429       -0.664767        0.617328        0.419920
    1:        0.123865       -0.135507        0.241603        0.703559       -0.642595
    2:        0.168801        0.124974        0.689336        0.319594        0.615275
    3:        0.974253       -0.088262       -0.148195       -0.144963       -0.008028
    4:       -0.083559       -0.978562        0.050672       -0.027493        0.179198

  The upper triangular T:

  Col:          0             1             2             3             4     
  Row

    0:       18.395201        7.636156        7.169701        8.844379       16.064671
    1:        0.000000       12.675186       16.346903       15.247713        1.669567
    2:        0.000000        0.000000        0.673861       -1.212320       13.679046
    3:        0.000000        0.000000        0.000000       10.198375        3.246322
    4:        0.000000        0.000000        0.000000        0.000000       13.365341

  The eigenvalue vector LAMBDA:

         0:       0.673861
         1:      10.198375
         2:      12.675186
         3:      13.365341
         4:      18.395201

test_eigen_test():
  Normal end of execution.

05 June 2024 10:27:36 AM