#13052: Positive definte check for matrices over RDF/CDF
----------------------------------+-----------------------------------------
       Reporter:  rbeezer         |         Owner:  jason, was                
           Type:  enhancement     |        Status:  needs_review              
       Priority:  minor           |     Milestone:  sage-5.1                  
      Component:  linear algebra  |    Resolution:                            
       Keywords:  sd40.5          |   Work issues:                            
Report Upstream:  N/A             |     Reviewers:  Dan Drake, Andrey Novoselt
        Authors:  Rob Beezer      |     Merged in:                            
   Dependencies:  #13035          |      Stopgaps:                            
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Changes (by rbeezer):

  * reviewer:  => Dan Drake, Andrey Novoselt


Old description:

> Having a Cholesky decomposition is equivalent to being positive definite.
> With #13035 this is a cheap feature and a cheap computation, and will
> maintain feature sets with the exact case.
>
> '''Depends:''' #13035
>
> '''Apply:'''
>   1. [attachment:trac_13052-is-positive-definite-RDF.patch]

New description:

 Having a Cholesky decomposition is equivalent to being positive definite.
 With #13035 this is a cheap feature and a cheap computation, and will
 maintain feature sets with the exact case.

 '''Depends:''' #13035

 '''Apply:'''
   1. [attachment:trac_13052-is-positive-definite-RDF-v2.patch]

--

Comment:

 Thanks, Dan and Andrey.  v2 patch is standalone patch.

 * Rebased with missed reviewer patch from other ticket.
 * Double "square" is gone.
 * `round()` on all integer determinants and output reformatted

 Thanks for all your work on the Cholesky stack!

 Rob

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13052#comment:6>
Sage <http://www.sagemath.org>
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