#13035: Cholesky decomposition over RDF/CDF
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   Reporter:  rbeezer         |             Owner:  jason, was
       Type:  task            |            Status:  new       
   Priority:  minor           |         Milestone:  sage-5.1  
  Component:  linear algebra  |          Keywords:            
Work issues:                  |   Report Upstream:  N/A       
  Reviewers:                  |           Authors:            
  Merged in:                  |      Dependencies:            
   Stopgaps:                  |  
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 This patch primarily moves the code for the Cholesky decomposition up to
 the "matrix double dense" module, where it belongs, and is consistent with
 the approach for other decompositions.  The !SciPy code is general enough
 to handle RDF/CDF symmetric/Hermitian cases simultaneously so the move is
 easy.

 Side-effects:
   * Significant documentation upgrade.
   * No doctest in matrix2 needs adjustment due to the code change here.
   * First step in un-deprecating the `cholesky()` method.

 The `cholesky_decomposition()`, `_cholesky_decomposition()` situation is a
 '''total mess''' and needs fixing.  The shorter name is more consistent
 with others, such as `schur()` and `SVD()`.  Once the exact version of
 `cholesky()` is concluded at #11274, then I plan to get the mess all
 straightened out.  This patch is independent of the ones for the exact
 matrices, so has no dependencies.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13035>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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