#12208: LU decomposition gives wrong results on cyclotomic matrices (MacOSX-
specific)
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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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Comment(by rbeezer):

 Replying to [comment:6 rbeezer]:
 > Or maybe there is a better function to be using for the "magnitude" of
 an element of an arbitrary ring/field?  Maybe a question for sage-devel -
 I can't think of the answer.

 Answering my own question.  Maybe the {{{norm()}}} function (or method) is
 a better choice.  For a negative rational, it returns the negative value,
 which I find odd (but maybe appropriate?).

 With test patch, I only get one doctest failure (a permutation matrix
 changes) and the original example still gives the same {{{U}}} matrix.

 Dima - would you like to try out the test patch (built on 4.8.alpha3)?
 I'm not sure yet it is the best solution, but it could be.

 Rob

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12208#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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