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[Octave-bug-tracker] [bug #38577] Eig returns non-unitary transformation
From: |
Rik |
Subject: |
[Octave-bug-tracker] [bug #38577] Eig returns non-unitary transformation matrix |
Date: |
Sun, 24 Mar 2013 18:54:52 +0000 |
User-agent: |
Mozilla/5.0 (X11; Ubuntu; Linux x86_64; rv:19.0) Gecko/20100101 Firefox/19.0 |
Follow-up Comment #2, bug #38577 (project octave):
Apparently the markup language ate some of my last post. Here it is again:
The eigenvalues in E are correct ([1, -1, lots of zeros]). This can be checked
with sum (E(:)) which is always 0.
For the eigenvectors with zero eigenvalues one needs to solve
A*x = 0*x
The zero vector for x solves this equation and is orthogonal to the other
eigenvectors which are all zeros except for a single '1' on the diagonal.
Octave appears to place this as the very last eigenvector every time. You can
check this with
diag (U*U')(end-1).
So is this issue merely definitional? Octave believes the zero vector is a
valid eigenvector because it meets the criteria above, but ordinary usage does
not include the zero vector as an eigenvector?
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- [Octave-bug-tracker] [bug #38577] Eig returns non-unitary transformation matrix, anonymous, 2013/03/23
- [Octave-bug-tracker] [bug #38577] Eig returns non-unitary transformation matrix, Rik, 2013/03/24
- [Octave-bug-tracker] [bug #38577] Eig returns non-unitary transformation matrix,
Rik <=
- [Octave-bug-tracker] [bug #38577] Eig returns non-unitary transformation matrix, anonymous, 2013/03/25
- [Octave-bug-tracker] [bug #38577] Eig returns non-unitary transformation matrix, anonymous, 2013/03/25
- [Octave-bug-tracker] [bug #38577] Eig returns non-unitary transformation matrix, Jordi Gutiérrez Hermoso, 2013/03/25
- [Octave-bug-tracker] [bug #38577] Eig returns non-unitary transformation matrix, anonymous, 2013/03/27
- [Octave-bug-tracker] [bug #38577] Eig returns non-unitary transformation matrix, Jordi Gutiérrez Hermoso, 2013/03/27
- [Octave-bug-tracker] [bug #38577] Eig returns non-unitary transformation matrix, Jordi Gutiérrez Hermoso, 2013/03/27
- [Octave-bug-tracker] [bug #38577] Eig returns non-unitary transformation matrix, Mike Miller, 2013/03/27
- [Octave-bug-tracker] [bug #38577] Eig returns non-unitary transformation matrix, anonymous, 2013/03/28