#2256: [with patch, needs review] matrix inverse over CC raises 
ZeroDivisionError
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 Reporter:  ncalexan        |       Owner:  was                      
     Type:  defect          |      Status:  new                      
 Priority:  major           |   Milestone:  sage-4.0.2               
Component:  linear algebra  |    Keywords:  matrix inverse CC complex
 Reviewer:                  |      Author:                           
   Merged:                  |  
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Comment(by jason):

 The LU decomposition patch at #3048 may go a long ways towards helping
 this.  At least the determinant then is much, much better.  Or even
 better, just examine the U of the LU decomposition and decide if a
 diagonal entry is zero (which avoids the overhead of a product).

 The LU decomposition patch (#3048) also changes the inverse function to
 use sove_right (which uses LU decomposition) as in general, that should be
 faster anyway.

 The real way to do this is to have a rank function which works by looking
 at the smallest singular value.  That requires having a singular value
 decomposition...

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/2256#comment:4>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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