Matrix exponential

From specialfunctionswiki
Jump to: navigation, search

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