13 December  2023   1:58:18.513 PM      

toeplitz_cholesky_test():
  Fortran77 version
  Test toeplitz_cholesky().

TOEPLITZ_CHOLESKY_PRB01
  Test the factorization of a simple example.

TOEPLITZ_CHOLESKY_UPPER:
 
  Toeplitz matrix A:
 
  Col         1             2             3       
  Row
 
    1:   1.00000      0.500000     -0.375000    
    2:  0.500000       1.00000      0.500000    
    3: -0.375000      0.500000       1.00000    
 
  Computed upper Cholesky factor R:
 
  Col         1             2             3       
  Row
 
    1:   1.00000      0.500000     -0.375000    
    2:   0.00000      0.866025      0.793857    
    3:   0.00000       0.00000      0.478714    
 
  Product R'R:
 
  Col         1             2             3       
  Row
 
    1:   1.00000      0.500000     -0.375000    
    2:  0.500000       1.00000      0.500000    
    3: -0.375000      0.500000       1.00000    

TOEP_CHOLESKY_UPPER:
 
  Compressed Toeplitz matrix G:
 
  Col         1             2             3       
  Row
 
    1:   1.00000      0.500000     -0.375000    
    2:   0.00000      0.500000     -0.375000    
 
  Computed upper Cholesky factor R:
 
  Col         1             2             3       
  Row
 
    1:   1.00000      0.500000     -0.375000    
    2:   0.00000      0.866025      0.793857    
    3:   0.00000       0.00000      0.478714    
 
  Product R'R:
 
  Col         1             2             3       
  Row
 
    1:   1.00000      0.500000     -0.375000    
    2:  0.500000       1.00000      0.500000    
    3: -0.375000      0.500000       1.00000    

TOEPLITZ_CHOLESKY_LOWER:
 
  Toeplitz matrix A:
 
  Col         1             2             3       
  Row
 
    1:   1.00000      0.500000     -0.375000    
    2:  0.500000       1.00000      0.500000    
    3: -0.375000      0.500000       1.00000    
 
  Computed lower Cholesky factor L:
 
  Col         1             2             3       
  Row
 
    1:   1.00000       0.00000       0.00000    
    2:  0.500000      0.866025       0.00000    
    3: -0.375000      0.793857      0.478714    
 
  Product LL':
 
  Col         1             2             3       
  Row
 
    1:   1.00000      0.500000     -0.375000    
    2:  0.500000       1.00000      0.500000    
    3: -0.375000      0.500000       1.00000    

TOEP_CHOLESKY_LOWER:
 
  Compressed Toeplitz matrix G:
 
  Col         1             2             3       
  Row
 
    1:   1.00000      0.500000     -0.375000    
    2:   0.00000      0.500000     -0.375000    
 
  Computed lower Cholesky factor L:
 
  Col         1             2             3       
  Row
 
    1:   1.00000       0.00000       0.00000    
    2:  0.500000      0.866025       0.00000    
    3: -0.375000      0.793857      0.478714    
 
  Product LL':
 
  Col         1             2             3       
  Row
 
    1:   1.00000      0.500000     -0.375000    
    2:  0.500000       1.00000      0.500000    
    3: -0.375000      0.500000       1.00000    

toeplitz_cholesky_test():
  Normal end of execution.

13 December  2023   1:58:18.513 PM