#12499: The density() function of a sparse matrix looks at every matrix entry
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   Reporter:  jason           |          Owner:  jason, was
       Type:  defect          |         Status:  new       
   Priority:  major           |      Milestone:  sage-5.0  
  Component:  linear algebra  |       Keywords:            
Work_issues:                  |       Upstream:  N/A       
   Reviewer:                  |         Author:            
     Merged:                  |   Dependencies:            
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 The implementation of the density method for a sparse matrix is insane.
 It loops through every single index possible and asks if each entry is
 zero or nonzero:

 {{{
 sage: A=matrix(5000,5000,{(1,2): 1})
 sage: A.density()
 1/25000000
 }}}

 An implementation that instead relied on `A.nonzero_positions()` would be
 orders of magnitude faster.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12499>
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