# exponential matrix exp(A)

What is the maximum size of a square matrix A to calculate exp(A)

exponential matrix exp(A)

**
asked 2012-03-08 09:51:07 +0200 **

This post is a wiki. Anyone with karma >750 is welcome to improve it.

What is the maximum size of a square matrix A to calculate exp(A)

add a comment

0

**
answered 2012-03-08 11:58:25 +0200 **

This post is a wiki. Anyone with karma >750 is welcome to improve it.

I don't think there are any hard-coded size limits.

0

**
answered 2012-03-08 13:30:35 +0200 **

This post is a wiki. Anyone with karma >750 is welcome to improve it.

At the same time, experimentation with `random_matrix(ZZ,i,i)`

suggests that Maxima hits a wall with this already when `i=4`

. `RR`

doesn't look much better, and

```
sage: m = random_matrix(RDF,4,4)
sage: m.exp?
```

basically says as much. But

```
sage: m = random_matrix(RDF,4,4)
sage: exp(m)
[ 0.360479628838 -0.145794589097 1.4781378783 0.316593839994]
[ 0.317770329736 0.0984841855079 -0.733966866354 -0.820812967827]
[ -1.58402218787 0.783288361066 0.965206766202 0.919221986577]
[-0.254553742946 0.837705408602 -2.47262343564 1.63085510321]
sage: m = random_matrix(RDF,10,10)
sage: exp(m)
```

looks much better. So the answer to your question depends on what you are exactly looking for.

Indeed, using RDF or CDF will probably scale *much* better.

Please start posting anonymously - your entry will be published after you log in or create a new account.

Asked: ** 2012-03-08 09:51:07 +0200 **

Seen: **2,268 times**

Last updated: **Mar 08 '12**

Is it possible to find the exponential of a symbolic matrix using sage?

how to obtain the real part of a complex function

evaluating the $U^\dagger U$ of an unitary matrix does not work

how to get the diagonal of a matrix?

complex exponential/trigonometric

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.