#6934: Fix eigenvectors (and a lot of other stuff) for symbolic matrices
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   Reporter:  kcrisman        |       Owner:  was                             
       Type:  defect          |      Status:  needs_review                    
   Priority:  critical        |   Milestone:  sage-4.4.3                      
  Component:  linear algebra  |    Keywords:  symbolics, matrices, polynomials
     Author:  Jason Grout     |    Upstream:  N/A                             
   Reviewer:                  |      Merged:                                  
Work_issues:                  |  
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Comment(by rbeezer):

 Hi Jason,

 I can't get this to finish on a non-trivial 3x3 matrix.

 9 different variables:  100 minutes, 2 GB memory used, killed my system

 3x3 `VanderMonde` matrix, with one variable per row (each row is the 0, 1,
 2 powers of the variable).  I killed it after 5 minutes.

 So, yes, this would be nice for completeness, but seems of very limited
 value.  Do you (or anybody reading this) have any bigger, more interesting
 examples that actually finish?

 The characteristic polynomial of a symbolic matrix can be computed quite
 quickly.  I don't imagine there is a good way to factor such a thing,
 though?

 Rob

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6934#comment:9>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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