#13500: Kernels for dense matrices mod p
----------------------------+----------------------------------------------
       Reporter:  malb      |        Owner:  jason, was
           Type:            |       Status:  needs_review
  enhancement               |    Milestone:  sage-duplicate/invalid/wontfix
       Priority:  major     |   Resolution:
      Component:  linear    |    Merged in:
  algebra                   |    Reviewers:
       Keywords:            |  Work issues:
        Authors:            |       Commit:
Report Upstream:  N/A       |     Stopgaps:
         Branch:            |
   Dependencies:            |
----------------------------+----------------------------------------------
Changes (by mmezzarobba):

 * status:  new => needs_review
 * milestone:  sage-6.2 => sage-duplicate/invalid/wontfix


Comment:

 The timings look much better now:
 {{{
 $ sage
 ┌────────────────────────────────────────────────────────────────────┐
 │ Sage Version 6.2.beta3, Release Date: 2014-03-03                   │
 │ Type "notebook()" for the browser-based notebook interface.        │
 │ Type "help()" for help.                                            │
 └────────────────────────────────────────────────────────────────────┘
 ┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
 ┃ Warning: this is a prerelease version, and it may be unstable.     ┃
 ┗━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
 sage: A = random_matrix(GF(127),4000,5000)
 sage: %time _ = A.echelon_form() # okay
 CPU times: user 4.96 s, sys: 96 ms, total: 5.05 s
 Wall time: 5.05 s
 sage: %time A.right_kernel() # slow!
 CPU times: user 6.78 s, sys: 84 ms, total: 6.87 s
 Wall time: 6.85 s
 Vector space of degree 5000 and dimension 1000 over Finite Field of size
 127
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/13500#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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