#5557: [with patch, needs review] implement ridiculously fast 4x4 determinant
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Reporter: boothby | Owner: was
Type: enhancement | Status: new
Priority: minor | Milestone: sage-3.4.1
Component: linear algebra | Keywords:
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Comment(by mvngu):
Replying to [comment:2 boothby]:
{{{
> Timings:
> {{{
> Sage 3.4:
> sage: S = MatrixSpace(ZZ,4)
> sage: M = S.random_element(1,10000^200)
> sage: timeit("M.determinant()")
> 5 loops, best of 3: 1.75 s per loop
> Updated...
> sage: S = MatrixSpace(ZZ,4)
> sage: M = S.random_element(1,10000^200)
> sage: timeit("M.determinant()")
> 625 loops, best of 3: 175 µs per loop
> Using Pari:
> sage: N = pari(M)
> sage: timeit("N.matdet();")
> 625 loops, best of 3: 337 µs per loop
> }}}
}}}
> So in general, this is hugely faster than the previous version of Sage,
and twice as fast as Pari.
Hi Tom. Is it possible for you to give some system/architecture info of
the machine from which you got the above timing statistics? Such info plus
timing statistics are good for a release tour.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5557#comment:4>
Sage <http://sagemath.org/>
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