Matrix exponential
Set
| context | $ n\in\mathbb N $ |
| definiendum | $\mathrm{exp}: \text{SquareMatrix}(n,\mathbb C)\to\text{SquareMatrix}(n,\mathbb C)$ |
| definiendum | $\mathrm{exp}(A):=\sum_{k=0}^\infty \frac{1}{k!} A^k $ |
Discussion
Theorems
| $[A,B]=0\implies \mathrm{exp}(A+B)=\mathrm{exp}(A)\cdot\mathrm{exp}(B)$ |
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References
Wikipedia: Matrix exponential, Exponential map
Parents
Context
