does the matrix that follows the following condition have a special name?
Setting
$$A=(a_{ij})$$ $$a_{ij} ∈ R$$
Notation
$$A^2=A*A=(^2a_{ij})$$ $$A^n=(^na_{ij})$$
condition
$$ \forall a_{ij} ; k∈R $$ $$\lim_{n\to\infty}(|^na_{ij}|)<k$$
There is a bunch of matixes that fullfill that condition e.g. E; cyclic matixes; "asymtotic" Matrixes e.g. all a_ij <1
i'm hoping to find the general name so that i can check the lemmas and theoremes for something helpfull