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How does the function MatrixExp[A] in Mathmatica works?

Posted 2 years ago

Dear Sir or Madam: I wonder how the function MatrixExp works. Does MatrixExp(A) refer to calculate enter image description here?

For example, A = {{1.2, 3.7, 5.6}, {0, -2.2, 4}, {-5.3, 0, 1.4}}. Firstly, I used the textbook method to compute enter image description here. The result was shown as below.

Then I computed MatrixExp[A]. The result was shown as below, which is different from the first one. enter image description here

So what's the problem?

POSTED BY: Hope Miller
2 Replies
Posted 2 years ago

I got it. Thank you for your reply.

POSTED BY: Hope Miller

That textbook method looks like it might be computing the exponential of A*t. There is no possibility that MatrixExp[A] will have some new variable in it.

Also it’s not a good idea to compute Eigenvalues and Eigenvectors separately since they might not correspond.

POSTED BY: Daniel Lichtblau
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