#14754: Update ATLAS to stable version 3.10.1
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       Reporter:  jdemeyer                                         |         
Owner:  jdemeyer                                                                
                                         
           Type:  enhancement                                      |        
Status:  needs_review                                                           
                                          
       Priority:  critical                                         |     
Milestone:  sage-5.11                                                           
                                             
      Component:  packages: standard                               |    
Resolution:                                                                     
                                              
       Keywords:                                                   |   Work 
issues:                                                                         
                                          
Report Upstream:  N/A                                              |     
Reviewers:  Benjamin Jones, Karl-Dieter Crisman, Dmitrii Pasechnik, Georg 
Weber, François Bissey, John Palmieri, Volker Braun
        Authors:  Volker Braun, Jeroen Demeyer, Jean-Pierre Flori  |     Merged 
in:                                                                             
                                      
   Dependencies:                                                   |      
Stopgaps:                                                                       
                                            
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Comment (by vbraun):

 I do get the error reported on #14753
 {{{
 sage -t --long sage/matrix/matrix_double_dense.pyx
 **********************************************************************
 File "sage/matrix/matrix_double_dense.pyx", line 3809, in
 sage.matrix.matrix_double_dense.Matrix_double_dense.is_positive_definite
 Failed example:
     H.is_positive_definite()
 Expected:
     True
 Got:
     False
 **********************************************************************
 }}}
 also with Fedora's version of ATLAS-3.8.4. I'm not sure that the test is
 actually numerically well-conditioned, it does:
 {{{
 sage: R = random_matrix(CDF, 200)
 sage: H = R.conjugate_transpose()*R
 sage: import scipy.linalg
 sage: scipy.linalg.cholesky(H.numpy(), lower=1)
 }}}
 Depending on the distribution of `random_matrix` this may be ill-
 conditioned: http://stackoverflow.com/questions/12322431/generating-a
 -pseduo-random-positive-definite-matrix. Conditioning numbers are around
 `10^6` - `10^7` so its not great but not terribly bad either.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14754#comment:46>
Sage <http://www.sagemath.org>
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