20 April 2020 03:32:28 PM

SVD_BASIS:
  C++ version

  Compiled on Apr 20 2020 at 15:28:29.

  Given a PDE for which:
    C is the number of components of the solution
      at any single point,
    P is the number of points where a solution is given,
    N is the number of solution vectors,
    L is the number of modes to be extracted.

  Then we let M = C*P be the abstract spatial dimension.

  Set up A, the M by N matrix of solution vectors,

  Get A = U * S * V', the singular value decomposition.

  The first L columns of U are our modes.


  Compiled on Apr 20 2020 at 15:28:29.

  How many basis vectors (L) are to be extracted?

  L = 4

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

1:  "data01.txt"

  According to the first base file,
  The number of solution components C =   3
  The number of solution points P =       4
  The "size" of each solution M = (C*P) = 12

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

2:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

3:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

4:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

5:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

6:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

7:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

8:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

9:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

10:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

11:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

12:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

13:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

14:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

15:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

16:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

17:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

18:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

19:  "N"

  You specify a consecutive sequence of file names
  by giving the first "base" file name.

  If there are no more sequences to enter,
  just hit RETURN.

  Enter a new base file name, or $ if done:

20:  "N"

  No more base file names can be entered.