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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* {{BookReference|Functions of Matrices: Theory and Computation|2008|Nicholas Higham|prev=findme|next=findme}}: $(10.1)$
  
 
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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