05 June 2024 11:20:33 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:       9.4642       1.51518     -0.852365      -1.72443      -2.27875  
    1:      1.51518       8.92807       -2.6801      -0.92818     -0.809938  
    2:    -0.852365       -2.6801       15.6153      0.261065      0.111356  
    3:     -1.72443      -0.92818      0.261065       11.1423       4.42824  
    4:     -2.27875     -0.809938      0.111356       4.42824       12.9602  

  The eigenvector matrix Q:

  Col:          0             1             2             3             4       
  Row

    0:    -0.339299      0.273156     -0.503423     -0.742966    -0.0694905  
    1:    -0.280538     -0.380912      0.693761     -0.501496      0.208329  
    2:     0.445337     -0.114453      0.163808     -0.279106     -0.826948  
    3:     0.498567      0.702595      0.331961     -0.223529      0.312454  
    4:       0.5994     -0.523021     -0.358091     -0.261989      0.412675  

  The eigenvalue vector LAMBDA:

         0:        18.3952
         1:        7.63616
         2:         7.1697
         3:        8.84438
         4:        16.0647

  LAMBDA versus the column norms of A*Q:

     0:        18.3952         18.3952
     1:        7.63616         7.63616
     2:         7.1697          7.1697
     3:        8.84438         8.84438
     4:        16.0647         16.0647

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:      8.08173      0.865293      -5.51035      -2.57358      -2.51628  
    1:     -4.12378        14.851       8.23719        13.174       13.1927  
    2:      8.63861     -0.197724       9.64562       -1.5057      -6.14578  
    3:     -17.7347       7.38463      -12.4352       8.98333       11.0327  
    4:     -1.31632      -2.17617        5.9103       1.78151       13.7463  

  The orthogonal factor Q:

  Col:          0             1             2             3             4       
  Row

    0:   -0.0035003      0.889174     0.0462728        0.4091     -0.199633  
    1:     0.123865     -0.250237     -0.583675      0.725468      0.234647  
    2:    -0.168801      0.368353     -0.560924     -0.472077      0.546196  
    3:    -0.974253     -0.101273     -0.027329      0.151455     -0.129957  
    4:   -0.0835586     0.0284777      0.584637      0.246045      0.768029  

  The upper triangular factor T:

  Col:          0             1             2             3             4       
  Row

    0:      18.3952       7.63616        7.1697       8.84438       16.0647  
    1:            0       12.6752       16.3469       15.2477       1.66957  
    2:            0             0      0.673861      -1.21232        13.679  
    3:            0             0             0       10.1984       3.24632  
    4:            0             0             0             0       13.3653  

  The eigenvalue vector LAMBDA:

         0:       0.673861
         1:        10.1984
         2:        12.6752
         3:        13.3653
         4:        18.3952

test_eigen_test():
  Normal end of execution.

05 June 2024 11:20:33 AM