#11306: Upgrade unitary check for RDF/CDF matrices
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Reporter: rbeezer | Owner: jason, was
Type: enhancement | Status: new
Priority: minor | Milestone: sage-4.7.1
Component: linear algebra | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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This is an upgrade of the {{{is_unitary()}}} method, based on experience
building {{{is_normal()}}}, {{{is_hermitian()}}}. (#10848, #11104)
One test is discovering a bug elsewhere (#11248), so needs to be adjusted
slightly to preserve that discovery, though at this writing, the test is
disabled (#11277).
(a) Adds a "orthonormal" variant, which is now the default, based on the
Schur decomposition, an idea used in the other two methods, but not
considered here previously.
(b) Makes the existing naive algorithm a bit more efficent by using the
break command twice.
(c) Fixes an ommission in the naive algorithm where the loop on {{{i}}}
previously did not start at zero.
(d) Upgraded error-checking on tolerance parameter.
(e) Docstring upgraded to reflect changes above.
'''Depends on:'''
1. #11027
1. #10848
1. #11277
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11306>
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