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Matrix exponential bounds

Let $A$ be a stochastic matrix, $q\in (0,1)$. How to bound $n$ such that $$q^n A^n e^A \leq e^A$$ Note that here $e^A$ is the matrix exponential, and $\leq$ is taken entrywise. To be clear, what I ...
maomao's user avatar
  • 502
12 votes
2 answers
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What is the time complexity of the matrix exponential?

While trying to compute the Matrix Exponential of an $n \times n$ array I decided to take advantage of a Python function called scipy.linalg.expm(). According to ...
FaCoffee's user avatar
  • 241
0 votes
1 answer
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Efficient computation of matrix exponential of trace zero matrix [closed]

I am looking for identities that may help with numerical computation of the matrix exponential ${\rm exp}(A)$ where ${\rm tr}(A)=0$. I am already aware of general-purpose algorithms for computing the ...
Alex Flint's user avatar