18-Feb-2019 19:12:07

vandermonde_test
  MATLAB version.
  Test vandermonde.

BIVAND1_TEST:
  Compute 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:
  Compute 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:
  Solve 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:     0.837159
     2:     0.197953
     3:     0.429866
     4:    0.0306879
     5:    0.0292539

  Right hand side B:

     1:      11.8839
     2:      5.76143
     3:      7.17646
     4:      5.09586
     5:      5.09121

  Solution X:

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

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
     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:     0.490269
     2:     0.411639
     3:    0.0590548
     4:     0.109907
     5:     0.479494

  Right hand side B:

     1:      7.66565
     2:      7.03988
     3:      5.19134
     4:      5.37966
     5:       7.5741

  Solution X:

     1:      7.66565

  Solution X:

     1:      3.76386
     2:      7.95848

  Solution X:

     1:      5.03482
     2:      2.27852
     3:      6.29771

  Solution X:

     1:      4.99738
     2:      3.07991
     3:      3.27861
     4:      3.14174

  Solution X:

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

PVAND_TEST:
  Solve 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:     0.670152
     2:      0.60874
     3:     0.716877
     4:    0.0834378
     5:    0.0695016

  Right hand side B:

     1:           15
     2:      8.26693
     3:      5.42948
     4:      3.65647
     5:      2.47694

  Solution X:

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

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
     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:     0.631222
     2:     0.509809
     3:     0.729825
     4:      0.45099
     5:    0.0576966

  Right hand side B:

     1:           15
     2:      8.17122
     3:      5.11255
     4:      3.30209
     5:      2.17266

  Solution X:

     1:           15

  Solution X:

     1:      4.31656
     2:      10.6834

  Solution X:

     1:     -47.1359
     2:      33.7426
     3:      28.3933

  Solution X:

     1:      115.779
     2:     -189.981
     3:     -29.7172
     4:      118.919

  Solution X:

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

vandermonde_test
  Normal end of execution.

18-Feb-2019 19:12:07