#11608: RDF/CDF eigenvalues: symmetric matrices, multiplicities
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Reporter: rbeezer | Owner: jason, was
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-5.0
Component: linear algebra | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers: Volker Braun
Authors: Rob Beezer | Merged in:
Dependencies: | Stopgaps:
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Comment (by rbeezer):
Replying to [comment:8 vbraun]:
> On Fedora 16 x86_64, I get...
Thanks, I'll increase the tolerance and that should work better across
platforms. You'd think I'd get the hang of this numerical stuff...
> Minor nitpicks while we are at it:
> * Can you return a tuple (=immutable) instead of a list?
I'm not opposed, but other eigenvalue routines return mutable objects.
I'd prefer to do one grand change across all matrix types, on a single-
purpose ticket of its own.
{{{
sage: A = matrix(QQ, [[1]])
sage: ev=A.eigenvalues()
sage: type(ev)
<class 'sage.structure.sequence.Sequence_generic'>
sage: ev[0]=5
sage: ev
[5]
}}}
> * the symmetric docstring, how about: "converts `self` to a real
matrix and applies the algorithm for Hermitian matrices". Note:
technically you convert (explicit), not coerce (implicit).
> * in the hermitian docstring, how about: "uses the
:meth:`~scipy.linalg.eigh` method from !SciPy, which applies only to real
symmetric or complex Hermitian matrices. Since...". This would make it
clear that the `syevr` implementation is used if possible.
> * the ".. warning::" block is not indented, so it is not typeset
correctly.
Thanks for the nits. I'll make some changes right now.
Rob
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11608#comment:9>
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