#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 rbeezer):
Replying to [comment:1 mraum]:
> Some discussion is necessary
Definitely! That is disturbing. I don't know if `SciPy` has a random
element, or it is that platform dependent.
This decomposition is not unique (mathematically). I cannot determine if
`SciPy` is suppose to return the same result across platforms. I'll dig
deeper.
In any event, your three examples all seem correct, in that the diagonals
of T all have the eigenvalues of the matrix. Run in Sage, the doctests
should have checked all the key properties (unitary, upper-triangular,
decomposition).
Did you check Mathematica's result for unitary and decomposition?
Rob
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11027#comment:2>
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