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Results tagged with matrix-exponential
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user 36721
The matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function.
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Property for bounding matrix exponential
For any $n\times n$ matrices $X_1$ and $X_2$,
\begin{equation}
\begin{aligned}
e^{X_1+X_2}-e^{X_1}&=\sum_{k=0}^\infty\frac1{k!}\,[(X_1+X_2)^k-X_1^k] \\
&=\sum_{k=0}^\infty\frac1{k!}\;
\su …
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