#4772: [with patch; needs review] make determinants of matrices over GF(2) way
faster
----------------------------+-----------------------------------------------
Reporter: was | Owner: was
Type: enhancement | Status: new
Priority: major | Milestone: sage-3.2.2
Component: linear algebra | Resolution:
Keywords: |
----------------------------+-----------------------------------------------
Changes (by was):
* summary: make determinants of matrices over GF(2) way faster => [with
patch; needs review] make determinants of
matrices over GF(2) way faster
Comment:
BEFORE:
{{{
sage: w = random_matrix(GF(2),1000)
sage: time w.determinant()
CPU times: user 174.27 s, sys: 0.01 s, total: 174.29 s
Wall time: 174.30 s
0
}}}
AFTER:
{{{
sage: w = random_matrix(GF(2),1000)
sage: timeit('w._clear_cache(); w.determinant()')
125 loops, best of 3: 5.48 ms per loop
}}}
For a speedup of a factor of a factor of over THIRTY THOUSAND (!):
{{{
sage: 174/(5.48*10^(-3))
31751.8248175182
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4772#comment:1>
Sage <http://sagemath.org/>
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Reinventing the Wheel
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