On Sep 29, 9:49 pm, Luke <hazelnu...@gmail.com> wrote:
> I was thinking that it might be nice to have pre-computed matrix inverses
> for n x n matrices.  Matrix inversion is O(n^3), so it would be nice to have
> all this precomputed symbolically, and this would greatly speed up Sympy's
> matrix capabilities.  Inverses up to say 100x100 could be computed (or maybe
> something smaller), and then when you need an inverse, everything would be
> fast.  This could also be used behind the scenes (by introduction of
> symbolic substitution dictionaries) for inverting a matrix full of sympy
> expressions.

I think there won't be a huge speed advantage, because in the end you
get a lazily evaluated version of the result of the inversion
algorithm. If nothing simplifies somehow (and I think it doesn't for
the general dense case), you only avoid some sympy overhead, if at
all.

Vinzent
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