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The matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function.

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Efficient computation of matrix exponential of trace zero matrix

From the trace condition and Cayley-Hamilton it follows that the powers of $A$ satisfy a recurrence of the form $$A^{n+3}= cA^{n+1}+(\det A) A^n$$, for some explicit constant $c$. You actually …
Liviu Nicolaescu's user avatar