17-Jan-2024 22:34:02

toeplitz_cholesky_test():
  MATLAB/Octave version 5.2.0
  Test toeplitz_cholesky().

t_cholesky_lower_test():
  t_cholesky_lower() computes the lower Cholesky
  factor of a positive semi-definite Toeplitz matrix.
  The Toeplitz matrix is defined by its first row.

  First row of Toeplitz matrix T:

     1:            1
     2:          0.5
     3:       -0.375

  Computed lower Cholesky factor L:

  Col:       1             2             3       
  Row
      1 :           1             0             0  
      2 :         0.5      0.866025             0  
      3 :      -0.375      0.793857      0.478714  

  Product L*L':

  Col:       1             2             3       
  Row
      1 :           1           0.5        -0.375  
      2 :         0.5             1           0.5  
      3 :      -0.375           0.5             1  

toep_cholesky_lower_test():
  toep_cholesky_lower() computes the lower Cholesky
  factor of a positive semi-definite Toeplitz matrix.
  The Toeplitz matrix is supplied as a (2,N) array.

  Compressed Toeplitz matrix G:

  Col:       1             2             3       
  Row
      1 :           1           0.5        -0.375  
      2 :           0           0.5        -0.375  

  Computed lower Cholesky factor L:

  Col:       1             2             3       
  Row
      1 :           1             0             0  
      2 :         0.5      0.866025             0  
      3 :      -0.375      0.793857      0.478714  

  Product L*L':

  Col:       1             2             3       
  Row
      1 :           1           0.5        -0.375  
      2 :         0.5             1           0.5  
      3 :      -0.375           0.5             1  

toeplitz_cholesky_lower_test():
  toeplitz_cholesky_lower() computes the lower Cholesky
  factorization of a positive semi-definite Toeplitz matrix.
  The matrix is supplied as an NxN array.

  Toeplitz matrix A:

  Col:       1             2             3       
  Row
      1 :           1           0.5        -0.375  
      2 :         0.5             1           0.5  
      3 :      -0.375           0.5             1  

  Computed lower Cholesky factor L:

  Col:       1             2             3       
  Row
      1 :           1             0             0  
      2 :         0.5      0.866025             0  
      3 :      -0.375      0.793857      0.478714  

  Product LL':

  Col:       1             2             3       
  Row
      1 :           1           0.5        -0.375  
      2 :         0.5             1           0.5  
      3 :      -0.375           0.5             1  

t_cholesky_upper_test():
  t_cholesky_upper() computes the upper Cholesky
  factor of a positive semi-definite Toeplitz matrix.
  The Toeplitz matrix is defined by its first row.

  First row of Toeplitz matrix T:

     1:            1
     2:          0.5
     3:       -0.375

  Computed upper Cholesky factor R:

  Col:       1             2             3       
  Row
      1 :           1           0.5        -0.375  
      2 :           0      0.866025      0.793857  
      3 :           0             0      0.478714  

  Product R'R:

  Col:       1             2             3       
  Row
      1 :           1           0.5        -0.375  
      2 :         0.5             1           0.5  
      3 :      -0.375           0.5             1  

toep_cholesky_upper_test():
  toep_cholesky_upper() computes the upper Cholesky
  factor of a positive semi-definite Toeplitz matrix.
  The Toeplitz matrix is supplied as a (2,N) array.

  Compressed Toeplitz matrix G:

  Col:       1             2             3       
  Row
      1 :           1           0.5        -0.375  
      2 :           0           0.5        -0.375  

  Computed upper Cholesky factor R:

  Col:       1             2             3       
  Row
      1 :           1           0.5        -0.375  
      2 :           0      0.866025      0.793857  
      3 :           0             0      0.478714  

  Product R'R:

  Col:       1             2             3       
  Row
      1 :           1           0.5        -0.375  
      2 :         0.5             1           0.5  
      3 :      -0.375           0.5             1  

toeplitz_cholesky_upper_test():
  toeplitz_cholesky_upper() computes the upper Cholesky
  factorization of a positive semi-definite Toeplitz matrix.
  The matrix is supplied as an NxN array.

  Toeplitz matrix A:

  Col:       1             2             3       
  Row
      1 :           1           0.5        -0.375  
      2 :         0.5             1           0.5  
      3 :      -0.375           0.5             1  

  Computed upper Cholesky factor R:

  Col:       1             2             3       
  Row
      1 :           1           0.5        -0.375  
      2 :           0      0.866025      0.793857  
      3 :           0             0      0.478714  

  Product R'R:

  Col:       1             2             3       
  Row
      1 :           1           0.5        -0.375  
      2 :         0.5             1           0.5  
      3 :      -0.375           0.5             1  

toeplitz_cholesky_test():
  Normal end of execution.

17-Jan-2024 22:34:02