#20465: Add "eigendecomposition" to docstring
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Reporter: jmantysalo | Owner:
Type: enhancement | Status: needs_review
Priority: trivial | Milestone: sage-7.2
Component: documentation | Resolution:
Keywords: | Merged in:
Authors: Jori Mäntysalo | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/jmantysalo/add__eigendecomposition__to_docstring|
b4b58db2c08ad390d390fdd33cd8def2caa712c6
Dependencies: | Stopgaps:
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Comment (by jmantysalo):
Replying to [comment:5 zonova]:
> I do not believe that the jordon canonical form and the eigen value
decomposition are equivalent? I do not know much about this topic, but on
this pdf:
> https://www.mathworks.com/moler/eigs.pdf
>
> Section 10.8(page 16) seems to indicate that the JCF(jordon canonical
form) gives a numerically imperfect approximation compared to the Schur
form? What am I missing?
I am not an expert, got this as a comment from a teahcer. Any expert of
are here?
Numerical instability is another issue, and does not count if we do not
use `RR` on other inexact base rign.
The page says "If `A` is not defective, then the JCF is the same as the
eigenvalue decomposition." So yes, this should be rephrased.
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Ticket URL: <http://trac.sagemath.org/ticket/20465#comment:6>
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