# Fast Exponential of a large matrix

**URL:** <https://discourse.julialang.org/t/fast-exponential-of-a-large-matrix/116998>\
**Category:** Performance\
**Created:** [July 13, 2024, 1:27pm UTC](https://discourse.julialang.org/t/fast-exponential-of-a-large-matrix/116998 "2024-07-13T13:27:08Z")\
**Posts on this page:** 1\
**Showing post:** 9

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**Author:** ![stevengj](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/stevengj/32/71_2.png) [@stevengj](https://discourse.julialang.org/u/stevengj)\
**Post date:** [July 14, 2024, 11:18am UTC](https://discourse.julialang.org/t/fast-exponential-of-a-large-matrix/116998/9 "2024-07-14T11:18:10Z")

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> [@freeman](#):
>
> I’m not an expert, but… if we just think about a taylor expansion:
> 
> x + x^2 + x^3 + x^4 times some coefficients.

It’s well known that Taylor series are a terrible way to compute matrix exponentials in general: [Taking gradients of a matrix exponential - #8 by stevengj](https://discourse.julialang.org/t/taking-gradients-of-a-matrix-exponential/107865/8)

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