Tue Oct 19 17:25:15 2021

toeplitz_cholesky_test():
  Python version: 3.6.9
  Test toeplitz_cholesky().

t_cholesky_lower_test
  Python version: 3.6.9
  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:

     0:             1
     1:           0.5
     2:        -0.375

  Computed lower Cholesky factor L:

  Col: 
      0       
      1       
      2       

  Row
      0 :
           1  
           0  
           0  

      1 :
         0.5  
    0.866025  
           0  

      2 :
      -0.375  
    0.793857  
    0.478714  


  Product L*L':

  Col: 
      0       
      1       
      2       

  Row
      0 :
           1  
         0.5  
      -0.375  

      1 :
         0.5  
           1  
         0.5  

      2 :
      -0.375  
         0.5  
           1  


toep_cholesky_lower_test
  Python version: 3.6.9
  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: 
      0       
      1       
      2       

  Row
      0 :
           1  
         0.5  
      -0.375  

      1 :
           0  
         0.5  
      -0.375  


  Computed lower Cholesky factor L:

  Col: 
      0       
      1       
      2       

  Row
      0 :
           1  
           0  
           0  

      1 :
         0.5  
    0.866025  
           0  

      2 :
      -0.375  
    0.793857  
    0.478714  


  Product L*L':

  Col: 
      0       
      1       
      2       

  Row
      0 :
           1  
         0.5  
      -0.375  

      1 :
         0.5  
           1  
         0.5  

      2 :
      -0.375  
         0.5  
           1  


toeplitz_cholesky_lower_test
  Python version: 3.6.9
  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: 
      0       
      1       
      2       

  Row
      0 :
           1  
         0.5  
      -0.375  

      1 :
         0.5  
           1  
         0.5  

      2 :
      -0.375  
         0.5  
           1  


  Computed lower Cholesky factor L:

  Col: 
      0       
      1       
      2       

  Row
      0 :
           1  
           0  
           0  

      1 :
         0.5  
    0.866025  
           0  

      2 :
      -0.375  
    0.793857  
    0.478714  


  Product LL':

  Col: 
      0       
      1       
      2       

  Row
      0 :
           1  
         0.5  
      -0.375  

      1 :
         0.5  
           1  
         0.5  

      2 :
      -0.375  
         0.5  
           1  


t_cholesky_upper_test
  Python version: 3.6.9
  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:

     0:             1
     1:           0.5
     2:        -0.375

  Computed upper Cholesky factor R:

  Col: 
      0       
      1       
      2       

  Row
      0 :
           1  
         0.5  
      -0.375  

      1 :
           0  
    0.866025  
    0.793857  

      2 :
           0  
           0  
    0.478714  


  Product R'R:

  Col: 
      0       
      1       
      2       

  Row
      0 :
           1  
         0.5  
      -0.375  

      1 :
         0.5  
           1  
         0.5  

      2 :
      -0.375  
         0.5  
           1  


toep_cholesky_upper_test
  Python version: 3.6.9
  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: 
      0       
      1       
      2       

  Row
      0 :
           1  
         0.5  
      -0.375  

      1 :
           0  
         0.5  
      -0.375  


  Computed upper Cholesky factor R:

  Col: 
      0       
      1       
      2       

  Row
      0 :
           1  
         0.5  
      -0.375  

      1 :
           0  
    0.866025  
    0.793857  

      2 :
           0  
           0  
    0.478714  


  Product R'R:

  Col: 
      0       
      1       
      2       

  Row
      0 :
           1  
         0.5  
      -0.375  

      1 :
         0.5  
           1  
         0.5  

      2 :
      -0.375  
         0.5  
           1  


toeplitz_cholesky_upper_test
  Python version: 3.6.9
  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: 
      0       
      1       
      2       

  Row
      0 :
           1  
         0.5  
      -0.375  

      1 :
         0.5  
           1  
         0.5  

      2 :
      -0.375  
         0.5  
           1  


  Computed upper Cholesky factor R:

  Col: 
      0       
      1       
      2       

  Row
      0 :
           1  
         0.5  
      -0.375  

      1 :
           0  
    0.866025  
    0.793857  

      2 :
           0  
           0  
    0.478714  


  Product R'R:

  Col: 
      0       
      1       
      2       

  Row
      0 :
           1  
         0.5  
      -0.375  

      1 :
         0.5  
           1  
         0.5  

      2 :
      -0.375  
         0.5  
           1  


toeplitz_cholesky_test():
  Normal end of execution.

Tue Oct 19 17:25:15 2021