30-Dec-2022 21:14:15

vandermonde_test():
  MATLAB/Octave version 4.2.2.
  Test vandermonde().

bivand1_test():
  bivand1() computes a bidimensional Vandermonde matrix
  associated with the total degree polynomials of degree
  less than N.

  Vandermonde vector ALPHA:

     1:            1
     2:            2
     3:            3

  Vandermonde vector BETA:

     1:           10
     2:           20
     3:           30

  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():
  bivand2() computes a bidimensional Vandermonde matrix
  associated with the product polynomials of
  maximum degree less than N.

  Vandermonde vector ALPHA:

     1:            1
     2:            2
     3:            3

  Vandermonde vector BETA:

     1:           10
     2:           20
     3:           30
i = 0

  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():
  dvand() solves a Vandermonde linear system A'*x=b

  Vandermonde vector ALPHA:

     1:            0
     2:            1
     3:            2
     4:            3
     5:            4

  Right hand side B:

     1:            5
     2:           15
     3:           67
     4:          239
     5:          657

  Solution X:

     1:            5
     2:            3
     3:            4
     4:            1
     5:            2

  Vandermonde vector ALPHA:

     1:     0.124644
     2:     0.747135
     3:     0.227364
     4:     0.940327
     5:     0.276036

  Right hand side B:

     1:       5.4385
     2:      10.5145
     3:      5.90597
     4:       13.753
     5:      6.16553

  Solution X:

     1:            5
     2:            3
     3:            4
     4:            1
     5:            2

dvandprg_test():
  dvandprg() solves 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
     2:            1
     3:            2
     4:            3
     5:            4

  Right hand side B:

     1:            5
     2:           15
     3:           67
     4:          239
     5:          657

  Solution X:

     1:            5

  Solution X:

     1:            5
     2:           10

  Solution X:

     1:            5
     2:          -11
     3:           21

  Solution X:

     1:            5
     2:           15
     3:          -18
     4:           13

  Solution X:

     1:            5
     2:            3
     3:            4
     4:            1
     5:            2

  Vandermonde vector ALPHA:

     1:     0.355286
     2:     0.184762
     3:    0.0227505
     4:     0.857285
     5:    0.0637673

  Right hand side B:

     1:      6.64749
     2:      5.69947
     3:      5.07033
     4:      12.2219
     5:      5.20786

  Solution X:

     1:      6.64749

  Solution X:

     1:       4.6723
     2:      5.55941

  Solution X:

     1:      5.00317
     2:      2.83734
     3:      5.04042

  Solution X:

     1:      4.99744
     2:       3.1366
     3:      2.87918
     4:      3.84017

  Solution X:

     1:            5
     2:            3
     3:            4
     4:            1
     5:            2

pvand_test():
  pvand() solves a Vandermonde linear system A*x=b

  Vandermonde vector ALPHA:

     1:            0
     2:            1
     3:            2
     4:            3
     5:            4

  Right hand side B:

     1:           15
     2:           22
     3:           60
     4:          190
     5:          660

  Solution X:

     1:            5
     2:            3
     3:            4
     4:            1
     5:            2

  Vandermonde vector ALPHA:

     1:     0.463169
     2:     0.710425
     3:     0.862088
     4:     0.934938
     5:     0.205105

  Right hand side B:

     1:           15
     2:      9.24062
     3:      6.51776
     4:      4.96976
     5:      3.97125

  Solution X:

     1:            5
     2:            3
     3:            4
     4:            1
     5:            2

pvandprg_test():
  pvandprg() solves 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
     2:            1
     3:            2
     4:            3
     5:            4

  Right hand side B:

     1:           15
     2:           22
     3:           60
     4:          190
     5:          660

  Solution X:

     1:           15

  Solution X:

     1:           -7
     2:           22

  Solution X:

     1:           12
     2:          -16
     3:           19

  Solution X:

     1:            3
     2:           11
     3:           -8
     4:            9

  Solution X:

     1:            5
     2:            3
     3:            4
     4:            1
     5:            2

  Vandermonde vector ALPHA:

     1:    0.0767004
     2:     0.762827
     3:    0.0131207
     4:     0.314814
     5:      0.74522

  Right hand side B:

     1:           15
     2:      4.52972
     3:      2.98563
     4:      2.19287
     5:      1.64267

  Solution X:

     1:           15

  Solution X:

     1:      10.0749
     2:      4.92506

  Solution X:

     1:      8.68934
     2:      5.04257
     3:       1.2681

  Solution X:

     1:      3.93179
     2:      4.82813
     3:      4.70458
     4:       1.5355

  Solution X:

     1:            5
     2:            3
     3:            4
     4:            1
     5:            2

vandermonde_test():
  Normal end of execution.

30-Dec-2022 21:14:15