#12208: LU decomposition gives wrong results on cyclotomic matrices
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Reporter: dimpase | Owner: jason, was
Type: defect | Status: new
Priority: major | Milestone: sage-4.8
Component: linear algebra | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Changes (by rbeezer):
* cc: jason (added)
Comment:
Works for me. Obviously, I get a very different {{{u}}} matrix. Very
curious. Any ideas on what could be different?
This is on 64-bit Ubuntu 11.04, built from source.
{{{
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| Sage Version 4.8.alpha3, Release Date: 2011-12-02 |
| Type notebook() for the GUI, and license() for information. |
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**********************************************************************
* *
* Warning: this is a prerelease version, and it may be unstable. *
* *
**********************************************************************
sage: tgg=SymmetricGroup(5).character_table()
sage: p,l,u = tgg.LU()
sage: (p*l*u - tgg).norm()
0.0
sage: (l*u).rank()
7
sage: u
[ 6 0 -2 0 0 0 1]
[ 0 -2 4/3 1 1 0 -5/3]
[ 0 0 10/3 -1/2 3/2 -1 -5/3]
[ 0 0 0 12/5 -6/5 4/5 -2]
[ 0 0 0 0 -3 2 0]
[ 0 0 0 0 0 -2 5/2]
[ 0 0 0 0 0 0 5]
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12208#comment:2>
Sage <http://www.sagemath.org>
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