08-Jan-2022 10:59:14

vandermonde_test():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 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:     0.814724
     2:     0.905792
     3:     0.126987
     4:     0.913376
     5:     0.632359

  Right hand side B:

     1:      11.5213
     2:      13.0887
     3:      5.44803
     4:      13.2311
     5:      9.06926

  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:    0.0975404
     2:     0.278498
     3:     0.546882
     4:     0.957507
     5:     0.964889

  Right hand side B:

     1:      5.33179
     2:      6.17937
     3:      8.17942
     4:      14.0988
     5:      14.2506

  Solution X:

     1:      5.33179

  Solution X:

     1:      4.87492
     2:      4.68388

  Solution X:

     1:      5.04228
     2:      2.36716
     3:      6.16086

  Solution X:

     1:      4.97155
     2:      3.47555
     3:      1.76697
     4:      4.76085

  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:     0.157613
     2:     0.970593
     3:     0.957167
     4:     0.485376
     5:      0.80028

  Right hand side B:

     1:           15
     2:      9.61445
     3:      8.13152
     4:      7.40975
     5:      6.89877

  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:     0.141886
     2:     0.421761
     3:     0.915736
     4:     0.792207
     5:     0.959492

  Right hand side B:

     1:           15
     2:      8.34885
     3:      6.45744
     4:      5.57484
     5:      4.99874

  Solution X:

     1:           15

  Solution X:

     1:     -7.22619
     2:      22.2262

  Solution X:

     1:      5.00599
     2:      3.06352
     3:      6.93049

  Solution X:

     1:      4.94411
     2:      3.23371
     3:      7.11508
     4:    -0.292906

  Solution X:

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

vandermonde_test():
  Normal end of execution.

08-Jan-2022 10:59:14