Test

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