04-Jun-2024 14:50:51

eigs_test():
  MATLAB/Octave version 6.4.0
  Test eigs(), a built-in function for computing
  eigenvalues and eigenvectors.

eigs_symmetric_test():
  Test eigs() on a real symmetric matrix.

  Real symmetric test matrix A:
    5.4518   -1.1850    2.6210   -1.5392   -0.5800
   -1.1850    6.6821    1.3557    2.5505    3.1501
    2.6210    1.3557    5.3088    0.9366    1.1475
   -1.5392    2.5505    0.9366   10.7298   -2.1144
   -0.5800    3.1501    1.1475   -2.1144    5.2753

  Eigenvectors Q:
  -0.553705   0.062238  -0.714305  -0.363742   0.216789
  -0.541702   0.594976   0.145949   0.384600  -0.428187
   0.563065   0.340520  -0.636803   0.386855  -0.108758
   0.068832  -0.294847  -0.163020  -0.353561  -0.869912
   0.279624   0.662753   0.190718  -0.667167   0.032911

  Eigenvalues lambda:
    1.3572
    2.1115
    7.8341
    9.5791
   12.5659

  Computed eigenvectors Q2:
   0.216789   0.062238  -0.714305  -0.553705  -0.363742
  -0.428187   0.594976   0.145949  -0.541702   0.384600
  -0.108758   0.340520  -0.636803   0.563065   0.386855
  -0.869912  -0.294847  -0.163020   0.068832  -0.353561
   0.032911   0.662753   0.190718   0.279624  -0.667167

  Computed eigenvalues lambda2:
    1.3572
    2.1115
    7.8341
    9.5791
   12.5659

  Norm of eigenvalue error = 1.17327e-14

eigs_nonsymmetric_test():
  Test eigs() on a nonsymmetric matrix.
T =

   14.6690    3.8921    4.7062   11.1630   16.1237
         0   11.7372   14.2851   10.3308   10.7788
         0         0    8.7564    9.2036   11.8636
         0         0         0   16.4724   14.1220
         0         0         0         0   13.4193


  Real nonsymmetric test matrix A:
   9.9189e+00   4.7726e+00   9.7187e+00   6.1700e+00   3.6941e+00
   3.1923e+00   9.8782e+00   1.1706e+01  -6.8757e+00  -1.5477e-02
  -3.9159e+00   4.7029e+00   1.9696e+01   2.4804e+00   4.8055e+00
  -6.5714e+00   1.3575e+01   2.2918e+01   1.6563e+01   4.7669e+00
   2.2519e+00  -1.9953e-01   2.1328e+00  -5.9749e-01   8.9979e+00

  Orthogonal factor Q:
   0.876175   0.244769   0.018083   0.266315   0.318048
   0.055926  -0.632613   0.347209   0.650091  -0.231301
  -0.455663   0.361226  -0.199221   0.654015   0.440979
  -0.018862   0.639632   0.427953   0.177343  -0.613124
  -0.145617   0.016607   0.810115  -0.217419   0.524368

  Schur upper triangle T:
   14.6690    3.8921    4.7062   11.1630   16.1237
         0   11.7372   14.2851   10.3308   10.7788
         0         0    8.7564    9.2036   11.8636
         0         0         0   16.4724   14.1220
         0         0         0         0   13.4193

  Sorted eigenvalues Lambda:
    8.7564
   11.7372
   13.4193
   14.6690
   16.4724

  Computed eigenvectors Q2:
   0.834254  -0.876175   0.842363   0.666191   0.247131
   0.121513  -0.244769   0.380283   0.576132   0.730613
   0.114721  -0.018083  -0.070446  -0.194462  -0.335013
   0.465556  -0.266315   0.074483  -0.178423  -0.337365
   0.243621  -0.318048   0.367829   0.393206   0.423182

  Computed eigenvalues lambda2:
    8.7564
   11.7372
   13.4193
   14.6690
   16.4724

  Norm of eigenvalue error = 9.87391e-13

eigs_test():
  Normal end of execution.

04-Jun-2024 14:50:51