#12103: Use MeatAxe as an optional back end for dense matrices over `GF(p^n)`, p
odd, n>1, `p^n<255`
-------------------------------------+-------------------------------------
       Reporter:  SimonKing          |        Owner:  jason, was
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  packages:          |   Resolution:
  optional                           |    Merged in:
       Keywords:  linear algebra,    |    Reviewers:
  MeatAxe                            |  Work issues:
        Authors:  Simon King         |       Commit:
Report Upstream:  None of the above  |  55a278da06ba77fdfde839aa2e45d43a6806f2fb
  - read trac for reasoning.         |     Stopgaps:
         Branch:                     |
  u/SimonKing/meataxe                |
   Dependencies:  #19240             |
-------------------------------------+-------------------------------------
Changes (by SimonKing):

 * status:  needs_work => needs_review
 * component:  packages: experimental => packages: optional


Comment:

 I have fixed the computation of row-reduced echelon form.

 - With the current branch, meataxe in Sage is substantially improved
 compared with upstream (fixes for multiplication table IO, some speed-ups
 for echelon computation, Strassen-Winograd, error handling).
 - Matrix arithmetic over small non-prime fields of odd order will be
 vastly faster with meataxe than with the previously used matrix
 implementation in Sage.
 - Doctest coverage of the Cython wrapper is 100%.
 - `make test` should now pass (I need to re-run "make test" after fixing
 the errors, though).

 Hence: Needs review!

--
Ticket URL: <http://trac.sagemath.org/ticket/12103#comment:133>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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