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matrix_exponential [2013/09/19 21:17] nikolaj |
matrix_exponential [2014/01/29 19:41] nikolaj |
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| ===== Matrix exponential ===== | ===== Matrix exponential ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| | @#88DDEE: $ n\in\mathbb N $ | | | @#88DDEE: $ n\in\mathbb N $ | | ||
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| ==== Discussion ==== | ==== Discussion ==== | ||
| + | === Theorems === | ||
| + | ^ $[A,B]=0\implies \mathrm{exp}(A+B)=\mathrm{exp}(A)\mathrm{exp}(B)$ ^ | ||
| === References === | === References === | ||
| Wikipedia: [[http://en.wikipedia.org/wiki/Matrix_exponential|Matrix exponential]], [[http://en.wikipedia.org/wiki/Exponential_map|Exponential map]] | Wikipedia: [[http://en.wikipedia.org/wiki/Matrix_exponential|Matrix exponential]], [[http://en.wikipedia.org/wiki/Exponential_map|Exponential map]] | ||
| Line 12: | Line 14: | ||
| ==== Parents ==== | ==== Parents ==== | ||
| === Requirements === | === Requirements === | ||
| - | [[Square matrix]], [[Infinite sum of complex numbers]], [[Factorial function]] | + | [[Square matrix]] |
