Test

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# Test

Submitted by roland65 on Fri, 03/29/2013 - 09:24

Forums:

Hi,

if $M$ is a square matrix and $I-M$ is inversible, we know that

$\sum_{{k=0}}^{{n}}M^{k}=(I-M^{{n+1}})(I-M)^{{-1}}$ |

Now I have the following sum :

$\sum_{{k=0}}^{{n}}M^{k}(M^{H})^{k}$ |

where $M$ is a square non hermitian matrix ($M^{H}$ denotes the hermitian of $M$).

I’d like to know if there exists an explicit formula for this sum, like the previous one.

Thanks,

RB

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