20 March 2018   1:22:33.870 PM

VANDERMONDE_TEST
  FORTRAN90 version.
  Test the VANDERMONDE library.

BIVAND1_TEST:
  Compute a bidimensional Vandermonde matrix
  associated with polynomials of total degree < N.
 
  Vandermonde vector ALPHA:
 
         1:    1.0000000    
         2:    2.0000000    
         3:    3.0000000    
 
  Vandermonde vector BETA:
 
         1:    10.000000    
         2:    20.000000    
         3:    30.000000    
 
  Bidimensional Vandermonde matrix:
 
  Col          1             2             3             4             5      
  Row
 
    1:      1.            1.            1.            1.            1.      
    2:      1.            2.            3.            1.            2.      
    3:     10.           10.           10.           20.           20.      
    4:      1.            4.            9.            1.            4.      
    5:     10.           20.           30.           20.           40.      
    6:    100.          100.          100.          400.          400.      
 
  Col          6      
  Row
 
    1:      1.      
    2:      1.      
    3:     30.      
    4:      1.      
    5:     30.      
    6:    900.      

BIVAND2_TEST:
  Compute a bidimensional Vandermonde matrix
  associated with polynomials of maximum degree < N.
 
  Vandermonde vector ALPHA:
 
         1:    1.0000000    
         2:    2.0000000    
         3:    3.0000000    
 
  Vandermonde vector BETA:
 
         1:    10.000000    
         2:    20.000000    
         3:    30.000000    
 
  Bidimensional Vandermonde matrix:
 
  Col          1             2             3             4             5      
  Row
 
    1:      1.            1.            1.            1.            1.      
    2:      1.            2.            3.            1.            2.      
    3:      1.            4.            9.            1.            4.      
    4:     10.           10.           10.           20.           20.      
    5:     10.           20.           30.           20.           40.      
    6:     10.           40.           90.           20.           80.      
    7:    100.          100.          100.          400.          400.      
    8:    100.          200.          300.          400.          800.      
    9:    100.          400.          900.          400.         1600.      
 
  Col          6             7             8             9      
  Row
 
    1:      1.            1.            1.            1.      
    2:      3.            1.            2.            3.      
    3:      9.            1.            4.            9.      
    4:     20.           30.           30.           30.      
    5:     60.           30.           60.           90.      
    6:    180.           30.          120.          270.      
    7:    400.          900.          900.          900.      
    8:   1200.          900.         1800.         2700.      
    9:   3600.          900.         3600.         8100.      

DVAND_TEST:
  Solve a Vandermonde linear system A'*x=b
 
  Vandermonde vector ALPHA:
 
         1:    0.0000000    
         2:    1.0000000    
         3:    2.0000000    
         4:    3.0000000    
         5:    4.0000000    
 
  Right hand side B:
 
         1:    5.0000000    
         2:    15.000000    
         3:    67.000000    
         4:    239.00000    
         5:    657.00000    
 
  Solution X:
 
         1:    5.0000000    
         2:    3.0000000    
         3:    4.0000000    
         4:    1.0000000    
         5:    2.0000000    
 
  Vandermonde vector ALPHA:
 
         1:   0.21841830    
         2:   0.95631758    
         3:   0.82950923    
         4:   0.56169544    
         5:   0.41530708    
 
  Right hand side B:
 
         1:    5.8610529    
         2:    14.074499    
         3:    11.758567    
         4:    8.3233921    
         5:    7.0669720    
 
  Solution X:
 
         1:    5.0000000    
         2:    3.0000000    
         3:    4.0000000    
         4:    1.0000000    
         5:    2.0000000    

DVANDPRG_TEST:
  Solve a Vandermonde linear system A'*x=b
  progressively.
  First we use ALPHA = 0, 1, 2, 3, 4.
  Then we choose ALPHA at random.
 
  Vandermonde vector ALPHA:
 
         1:    0.0000000    
         2:    1.0000000    
         3:    2.0000000    
         4:    3.0000000    
         5:    4.0000000    
 
  Right hand side B:
 
         1:    5.0000000    
         2:    15.000000    
         3:    67.000000    
         4:    239.00000    
         5:    657.00000    
 
  Solution X:
 
         1:    5.0000000    
 
  Solution X:
 
         1:    5.0000000    
         2:    10.000000    
 
  Solution X:
 
         1:    5.0000000    
         2:   -11.000000    
         3:    21.000000    
 
  Solution X:
 
         1:    5.0000000    
         2:    15.000000    
         3:   -18.000000    
         4:    13.000000    
 
  Solution X:
 
         1:    5.0000000    
         2:    3.0000000    
         3:    4.0000000    
         4:    1.0000000    
         5:    2.0000000    
 
  Vandermonde vector ALPHA:
 
         1:   0.21841830    
         2:   0.95631758    
         3:   0.82950923    
         4:   0.56169544    
         5:   0.41530708    
 
  Right hand side B:
 
         1:    5.8610529    
         2:    14.074499    
         3:    11.758567    
         4:    8.3233921    
         5:    7.0669720    
 
  Solution X:
 
         1:    5.8610529    
 
  Solution X:
 
         1:    3.4298717    
         2:    11.130849    
 
  Solution X:
 
         1:    5.8677991    
         2:   -2.5801731    
         3:    11.671579    
 
  Solution X:
 
         1:    4.8053550    
         2:    4.6758751    
         3:  -0.61821371    
         4:    6.1318811    
 
  Solution X:
 
         1:    5.0000000    
         2:    3.0000000    
         3:    4.0000000    
         4:    1.0000000    
         5:    2.0000000    

PVAND_TEST:
  Solve a Vandermonde linear system A*x=b
 
  Vandermonde vector ALPHA:
 
         1:    0.0000000    
         2:    1.0000000    
         3:    2.0000000    
         4:    3.0000000    
         5:    4.0000000    
 
  Right hand side B:
 
         1:    15.000000    
         2:    22.000000    
         3:    60.000000    
         4:    190.00000    
         5:    660.00000    
 
  Solution X:
 
         1:    5.0000000    
         2:    3.0000000    
         3:    4.0000000    
         4:    1.0000000    
         5:    2.0000000    
 
  Vandermonde vector ALPHA:
 
         1:   0.21841830    
         2:   0.95631758    
         3:   0.82950923    
         4:   0.56169544    
         5:   0.41530708    
 
  Right hand side B:
 
         1:    15.000000    
         2:    8.6713908    
         3:    6.3949667    
         4:    5.2794550    
         5:    4.5734350    
 
  Solution X:
 
         1:    5.0000000    
         2:    3.0000000    
         3:    4.0000000    
         4:    1.0000000    
         5:    2.0000000    

PVANDPRG_TEST:
  Solve a Vandermonde linear system A*x=b
  progressively.
  First we use ALPHA = 0, 1, 2, 3, 4.
  Then we choose ALPHA at random.
 
  Vandermonde vector ALPHA:
 
         1:    0.0000000    
         2:    1.0000000    
         3:    2.0000000    
         4:    3.0000000    
         5:    4.0000000    
 
  Right hand side B:
 
         1:    15.000000    
         2:    22.000000    
         3:    60.000000    
         4:    190.00000    
         5:    660.00000    
 
  Solution X:
 
         1:    15.000000    
 
  Solution X:
 
         1:   -7.0000000    
         2:    22.000000    
 
  Solution X:
 
         1:    12.000000    
         2:   -16.000000    
         3:    19.000000    
 
  Solution X:
 
         1:    3.0000000    
         2:    11.000000    
         3:   -8.0000000    
         4:    9.0000000    
 
  Solution X:
 
         1:    5.0000000    
         2:    3.0000000    
         3:    4.0000000    
         4:    1.0000000    
         5:    2.0000000    
 
  Vandermonde vector ALPHA:
 
         1:   0.21841830    
         2:   0.95631758    
         3:   0.82950923    
         4:   0.56169544    
         5:   0.41530708    
 
  Right hand side B:
 
         1:    15.000000    
         2:    8.6713908    
         3:    6.3949667    
         4:    5.2794550    
         5:    4.5734350    
 
  Solution X:
 
         1:    15.000000    
 
  Solution X:
 
         1:    7.6885465    
         2:    7.3114535    
 
  Solution X:
 
         1:    6.2282806    
         2:   0.27441481    
         3:    8.4973046    
 
  Solution X:
 
         1:    5.4238447    
         2:    3.6466116    
         3:    2.4972851    
         4:    3.4322586    
 
  Solution X:
 
         1:    5.0000000    
         2:    3.0000000    
         3:    4.0000000    
         4:    1.0000000    
         5:    2.0000000    

VANDERMONDE_TEST
  Normal end of execution.

20 March 2018   1:22:33.870 PM