03 June 2024 03:13:14 PM

eispack_test():
  C version.
  Test eispack().

TEST06
  RS computes the eigenvalues and eigenvectors
  of a real symmetric matrix.

  Matrix order = 4

  The matrix A:

  Col:          0             1             2             3     
  Row

    0:        5.000000        4.000000        1.000000        1.000000
    1:        4.000000        5.000000        1.000000        1.000000
    2:        1.000000        1.000000        4.000000        2.000000
    3:        1.000000        1.000000        2.000000        4.000000

  The eigenvalues Lambda:

         0:       1.000000
         1:       2.000000
         2:       5.000000
         3:      10.000000

  The eigenvector matrix:

  Col:          0             1             2             3     
  Row

    0:        0.707107       -0.000000        0.316228        0.632456
    1:       -0.707107       -0.000000        0.316228        0.632456
    2:        0.000000        0.707107       -0.632456        0.316228
    3:        0.000000       -0.707107       -0.632456        0.316228

  The residual (A-Lambda*I)*X:

  Col:          0             1             2             3     
  Row

    0:        0.000000       -0.000000       -0.000000        0.000000
    1:        0.000000       -0.000000        0.000000        0.000000
    2:        0.000000        0.000000       -0.000000       -0.000000
    3:        0.000000       -0.000000        0.000000        0.000000

TEST065
  RS computes the eigenvalues and eigenvectors
  of a real symmetric matrix.

  Matrix order = 3

  The matrix A:

  Col:          0             1             2     
  Row

    0:        0.218418        0.759007        0.543544
    1:        0.759007        0.415307        0.088038
    2:        0.543544        0.088038        0.043829

  The eigenvalues Lambda:

         0:      -0.654749
         1:       0.089759
         2:       1.242544

  The eigenvector matrix:

  Col:          0             1             2     
  Row

    0:       -0.723678        0.162643        0.670699
    1:        0.471882       -0.592551        0.652848
    2:        0.503604        0.788943        0.352068

  The residual (A-Lambda*I)*X:

  Col:          0             1             2     
  Row

    0:        0.000000       -0.000000        0.000000
    1:        0.000000       -0.000000        0.000000
    2:        0.000000        0.000000        0.000000

TEST07
  RSB computes the eigenvalues and eigenvectors
  of a real symmetric band matrix.

  Matrix order = 5

  The matrix A:

  Col:          0             1             2             3             4     
  Row

    0:        2.000000       -1.000000        0.000000        0.000000        0.000000
    1:       -1.000000        2.000000       -1.000000        0.000000        0.000000
    2:        0.000000       -1.000000        2.000000       -1.000000        0.000000
    3:        0.000000        0.000000       -1.000000        2.000000       -1.000000
    4:        0.000000        0.000000        0.000000       -1.000000        2.000000

  The eigenvalues Lambda:

         0:       0.267949
         1:       1.000000
         2:       2.000000
         3:       3.000000
         4:       3.732051

  The eigenvector matrix X:

  Col:          0             1             2             3             4     
  Row

    0:        0.288675        0.500000       -0.577350       -0.500000        0.288675
    1:        0.500000        0.500000        0.000000        0.500000       -0.500000
    2:        0.577350       -0.000000        0.577350        0.000000        0.577350
    3:        0.500000       -0.500000        0.000000       -0.500000       -0.500000
    4:        0.288675       -0.500000       -0.577350        0.500000        0.288675

  The residual (A-Lambda*I)*X:

  Col:          0             1             2             3             4     
  Row

    0:        0.000000       -0.000000        0.000000        0.000000       -0.000000
    1:        0.000000        0.000000        0.000000        0.000000       -0.000000
    2:       -0.000000       -0.000000       -0.000000        0.000000       -0.000000
    3:        0.000000        0.000000       -0.000000        0.000000       -0.000000
    4:       -0.000000        0.000000        0.000000        0.000000        0.000000

eispack_test()
  Normal end of execution.

03 June 2024 03:13:14 PM