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

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Fast Upper Triangular Matrix Exponentiation

Let $Q_n$ be a $n\times n$ matrix with $Q_n=\begin{pmatrix} -\lambda_1-\mu_1 & \lambda_1 & 0 & \cdots\\ 0 & -\lambda_2-\mu_2 & \lambda_2 & \cdots\\ \vdots & \vdots & \vdots& \vdots\end{pmatrix}.$ In o …
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