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[Octave-bug-tracker] [bug #60274] GSVD reordering (matlab compatibility)


From: Nicholas Jankowski
Subject: [Octave-bug-tracker] [bug #60274] GSVD reordering (matlab compatibility)
Date: Tue, 16 Nov 2021 14:05:06 -0500 (EST)
User-agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64; rv:78.0) Gecko/20100101 Firefox/78.0

Update of bug #60274 (project octave):

                  Status:                    None => Confirmed              

    _______________________________________________________

Follow-up Comment #1:

looking specifically at Matlab's Example 1:



A = reshape(1:15,5,3);
B = magic(3);
...
The generalized singular values are the ratios of the diagonal elements of C
and S.

sigma = gsvd(A,B)
sigma =
        0.0000
        0.3325
        5.0123

These values are a reordering of the ordinary singular values

svd(A/B)
ans =
        5.0123
        0.3325
        0.0000



in Octave 6.4.0: 


>> sigma = gsvd(A,B)
sigma =

   5.0123e+00
   3.3252e-01
   2.5093e-16

>> sigma = svd(A/B)
sigma =

   5.0123e+00
   3.3252e-01
   6.6963e-17


Noting that the other gsvd outputs differ quite a bit from matlab as i believe
bug #60273 is addressing, and this did not appear to be mentioned there.

    _______________________________________________________

Reply to this item at:

  <https://savannah.gnu.org/bugs/?60274>

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