#11027: Schur matrix decomposition over RDF/CDF
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Reporter: rbeezer | Owner: jason, was
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-4.7
Component: linear algebra | Keywords:
Author: | Upstream: N/A
Reviewer: Martin Raum | Merged:
Work_issues: |
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Comment(by mraum):
I wouldn't support abandoning the test. But of cause it tests something,
that is not guaranteed by the (mathematical) definitions.
My suggestion is:
1) Emphasize in the documentation that the decomposition cannot be assumed
to be unique. In particular, it can even vary on different machines.
2) Actually the crucial: U is unitary, A is upper tridiagonal, the
eigenvalues are in "right" order.
3) One can also test the Frobenius norm. That's not very deep, but it is a
further invariant for the nilpotent part of A.
Your thoughts?
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11027#comment:5>
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