#4260: use LinBox as native matrix representation for dense matrices over GF(p)
------------------------------+---------------------------------------------
   Reporter:  malb            |          Owner:  cpernet               
       Type:  enhancement     |         Status:  new                   
   Priority:  major           |      Milestone:  sage-4.7.2            
  Component:  linear algebra  |       Keywords:  linbox, linear algebra
Work_issues:                  |       Upstream:  N/A                   
   Reviewer:                  |         Author:  Burcin Erocal         
     Merged:                  |   Dependencies:                        
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Description changed by malb:

Old description:

> Copying to and from LinBox uses up precious RAM and the point of fast
> linear algebra is to deal with large matrices. We should consider
> switching to LinBox as the native representation of matrices over GF(p)
>
> '''Without Patch'''
>
> {{{
> !python
> sage: A = random_matrix(GF(97),2000,2000)
> sage: %time A*A
> CPU times: user 9.66 s, sys: 0.12 s, total: 9.77 s
> Wall time: 9.82 s
> }}}
>
> '''With Patch'''
> {{{
> !python
> sage: A = random_matrix(GF(97),2000,2000)
> sage: %time A*A
> CPU times: user 1.32 s, sys: 0.00 s, total: 1.32 s
> Wall time: 1.35 s
> }}}
>
>  * '''Install'''
> http://sage.math.washington.edu/home/malb/spkgs/linbox-1.1.6.p4.spkg
>  * '''Apply''' [attachment:trac_4260-linbox_default.patch]
>  * '''Apply''' [attachment:trac_4260-dense_ctypes_template.patch]

New description:

 Copying to and from LinBox uses up precious RAM and the point of fast
 linear algebra is to deal with large matrices. We should consider
 switching to LinBox as the native representation of matrices over GF(p)

 '''Without Patch'''

 {{{
 #!python
 sage: A = random_matrix(GF(97),2000,2000)
 sage: %time A*A
 CPU times: user 9.66 s, sys: 0.12 s, total: 9.77 s
 Wall time: 9.82 s
 }}}

 '''With Patch'''
 {{{
 #!python
 sage: A = random_matrix(GF(97),2000,2000)
 sage: %time A*A
 CPU times: user 1.32 s, sys: 0.00 s, total: 1.32 s
 Wall time: 1.35 s
 }}}

  * '''Install'''
 http://sage.math.washington.edu/home/malb/spkgs/linbox-1.1.6.p4.spkg
  * '''Apply''' [attachment:trac_4260-linbox_default.patch]
  * '''Apply''' [attachment:trac_4260-dense_ctypes_template.patch]

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4260#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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