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[Octave-bug-tracker] [bug #60273] Wrong result in GSVD
From: |
Leonardo |
Subject: |
[Octave-bug-tracker] [bug #60273] Wrong result in GSVD |
Date: |
Tue, 23 Mar 2021 14:08:28 -0400 (EDT) |
User-agent: |
Mozilla/5.0 (X11; Linux x86_64; rv:86.0) Gecko/20100101 Firefox/86.0 |
Follow-up Comment #5, bug #60273 (project octave):
Indeed.
>> [U, V, Q, C, S, R] = gsvd (A, B);
>> U*C*R*Q'
ans =
1.0000 1.0000 3.0000
3.0000 1.0000 2.0000
2.0000 1.0000 1.0000
>> V*S*R*Q'
ans =
2.0000e+00 3.8858e-16 1.0000e+00
2.0000e+00 1.0000e+00 -1.0000e+00
1.0000e+00 7.6328e-17 -9.3675e-17
and finally, as you pointed out,
>> Q*R' - A'*U*inv(C)
ans =
8.8818e-16 1.7764e-15 -3.1225e-16
2.2204e-16 6.6613e-16 -1.1102e-16
-8.8818e-16 1.7451e-15 4.4409e-16
which confirms that
X = Q*R'
And I do agree that the documentation of GSVD should be adjusted.
BTW, it is
B = V * S * R * Q' (and not V*C*R*Q')
Thanks on this!
_______________________________________________________
Reply to this item at:
<https://savannah.gnu.org/bugs/?60273>
_______________________________________________
Mensagem enviada pelo Savannah
https://savannah.gnu.org/
- [Octave-bug-tracker] [bug #60273] Wrong result in GSVD, Leonardo, 2021/03/23
- [Octave-bug-tracker] [bug #60273] Wrong result in GSVD, Rik, 2021/03/23
- [Octave-bug-tracker] [bug #60273] Wrong result in GSVD, Dmitri A. Sergatskov, 2021/03/23
- [Octave-bug-tracker] [bug #60273] Wrong result in GSVD, Leonardo, 2021/03/23
- [Octave-bug-tracker] [bug #60273] Wrong result in GSVD, Rik, 2021/03/23
- [Octave-bug-tracker] [bug #60273] Wrong result in GSVD,
Leonardo <=
- [Octave-bug-tracker] [bug #60273] Wrong result in GSVD, Dmitri A. Sergatskov, 2021/03/23
- [Octave-bug-tracker] [bug #60273] Wrong result in GSVD, Rik, 2021/03/23
- [Octave-bug-tracker] [bug #60273] Wrong result in GSVD, Rik, 2021/03/23
- [Octave-bug-tracker] [bug #60273] Wrong result in GSVD, Rik, 2021/03/23
- [Octave-bug-tracker] [bug #60273] Wrong result in GSVD, Rik, 2021/03/23
- [Octave-bug-tracker] [bug #60273] Wrong result in GSVD, John W. Eaton, 2021/03/23
- [Octave-bug-tracker] [bug #60273] Wrong result in GSVD, Dmitri A. Sergatskov, 2021/03/23