#4260: use LinBox as native matrix representation for dense matrices over GF(p)
------------------------------------+---------------------------------------
   Reporter:  malb                  |          Owner:  cpernet                  
                 
       Type:  enhancement           |         Status:  needs_review             
                 
   Priority:  major                 |      Milestone:  sage-4.7.2               
                 
  Component:  linear algebra        |       Keywords:  linbox, linear algebra, 
sd32              
Work_issues:  extend documentation  |       Upstream:  N/A                      
                 
   Reviewer:                        |         Author:  Burcin Erocal, Martin 
Albrecht, Rob Beezer
     Merged:                        |   Dependencies:                           
                 
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Comment(by SimonKing):

 I found that the time for computing echelon form became worse:

 sage-4.6.2
 {{{
 sage: MS = MatrixSpace(GF(101),2000,2000)
 sage: %time A = MS.random_element()
 CPU times: user 0.17 s, sys: 0.03 s, total: 0.20 s
 Wall time: 0.20 s
 sage: B = MS.random_element()
 sage: %time C = A*B
 CPU times: user 8.35 s, sys: 0.07 s, total: 8.42 s
 Wall time: 8.45 s
 sage: %time A.echelonize()
 CPU times: user 1.22 s, sys: 0.06 s, total: 1.28 s
 Wall time: 1.38 s
 }}}

 sage-4.7.2.alpha2 with the patches and spkg from here:
 {{{
 sage: MS = MatrixSpace(GF(101),2000,2000)
 sage: %time A = MS.random_element()
 CPU times: user 0.19 s, sys: 0.03 s, total: 0.22 s
 Wall time: 0.22 s
 sage: B = MS.random_element()
 sage:  %time C = A*B
 CPU times: user 1.16 s, sys: 0.02 s, total: 1.17 s
 Wall time: 1.22 s
 sage: %time A.echelonize()
 CPU times: user 1.87 s, sys: 0.00 s, total: 1.87 s
 Wall time: 1.92 s
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4260#comment:16>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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