On Sun, Feb 1, 2009 at 3:55 PM, Roman Pearce <[email protected]> wrote:
>
>> By the way, most of the work for Sage computing dets uses IML,
>> not Linbox.
>
> IML is very good.  The algorithms are good :)  I'm not sure what Magma
> is doing, but if I had to guess, I'd say they are solving a system
> AX=B mod p where p is 23 bits using SSE floating point and using p-
> adic lifting and rational reconstruction to recover the determinant.
> I can't help thinking that in another year or two all this stuff will
> be done ten times faster on GPUs.

+1

Computing determinants, ranks, minpolys, charpolys, elementary
invariants, etc. of matrices is a perfect example of a superb class of
problems to attack with GPUs.  I hope you'll write a nice paper about
doing so!

 -- William

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