1 May       2014  11:17:46.946 AM      

VANDERMONDE_PRB
  FORTRAN77 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:   1.00000       1.00000       1.00000       1.00000       1.00000    
    2:   1.00000       2.00000       3.00000       1.00000       2.00000    
    3:   10.0000       10.0000       10.0000       20.0000       20.0000    
    4:   1.00000       4.00000       9.00000       1.00000       4.00000    
    5:   10.0000       20.0000       30.0000       20.0000       40.0000    
    6:   100.000       100.000       100.000       400.000       400.000    
 
  Col         6       
  Row
 
    1:   1.00000    
    2:   1.00000    
    3:   30.0000    
    4:   1.00000    
    5:   30.0000    
    6:   900.000    

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:   1.00000       1.00000       1.00000       1.00000       1.00000    
    2:   1.00000       2.00000       3.00000       1.00000       2.00000    
    3:   1.00000       4.00000       9.00000       1.00000       4.00000    
    4:   10.0000       10.0000       10.0000       20.0000       20.0000    
    5:   10.0000       20.0000       30.0000       20.0000       40.0000    
    6:   10.0000       40.0000       90.0000       20.0000       80.0000    
    7:   100.000       100.000       100.000       400.000       400.000    
    8:   100.000       200.000       300.000       400.000       800.000    
    9:   100.000       400.000       900.000       400.000       1600.00    
 
  Col         6             7             8             9       
  Row
 
    1:   1.00000       1.00000       1.00000       1.00000    
    2:   3.00000       1.00000       2.00000       3.00000    
    3:   9.00000       1.00000       4.00000       9.00000    
    4:   20.0000       30.0000       30.0000       30.0000    
    5:   60.0000       30.0000       60.0000       90.0000    
    6:   180.000       30.0000       120.000       270.000    
    7:   400.000       900.000       900.000       900.000    
    8:   1200.00       900.000       1800.00       2700.00    
    9:   3600.00       900.000       3600.00       8100.00    

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_PRB
  Normal end of execution.

 1 May       2014  11:17:46.948 AM