#7852: solve_left for RDF matrices is WRONG
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   Reporter:  was             |          Owner:  was         
       Type:  defect          |         Status:  needs_review
   Priority:  major           |      Milestone:  sage-4.7.1  
  Component:  linear algebra  |       Keywords:              
Work_issues:                  |       Upstream:  N/A         
   Reviewer:                  |         Author:  Rob Beezer  
     Merged:                  |   Dependencies:              
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Changes (by rbeezer):

  * status:  needs_work => needs_review


Comment:

 Finally getting back to this one.

 1.  solve_left and solve_right are confused at the moment - I think this
 is important to fix.

 2.  The code is different, in part because the error messages are
 explicit, naming rows and columns when sizes do not match.

 3.  The longer I think about it, the more I think we should ''never'' be
 feeding floating-point matrices into exact routines.  We should expose the
 !ScyPy/NumPy/LAPACK routines as much as possible and not pretend the exact
 routines are going to give reasonable answers as a "fallback."

 4.  I'm happy to try to get solutions to systems with non-square
 coefficient matrices with floating-point entries, but despite a lot of
 thought and reading, I'm not convinced of the right approach.  In any
 event, I'd like to fix the problem at hand, and do the non-square
 somewhere else.

 5.  I am going to set this to "needs review" but I'm happy to entertain
 more discussion - I'll just need convincing.

 Rob

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7852#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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