Difference between revisions of "Matrix exponential"
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(Created page with "The $n$-dimensional matrix exponential $\exp_n \colon \mathbb{R}^{n \times n} \rightarrow \mathbb{R}^{n \times n}$ is defined by $$\exp_n(X)=\displaystyle\sum_{k=0}^{\infty} \...") |
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Revision as of 04:26, 24 February 2018
The $n$-dimensional matrix exponential $\exp_n \colon \mathbb{R}^{n \times n} \rightarrow \mathbb{R}^{n \times n}$ is defined by $$\exp_n(X)=\displaystyle\sum_{k=0}^{\infty} \dfrac{X^k}{k!}.$$
Properties
References
- 2008: Nicholas Higham: Functions of Matrices: Theory and Computation ... (previous) ... (next): $(10.1)$
