Minimal rank factorizations of polynomial matrices

Andrii Dmytryshyn, Froilán Dopico, Paul Van Dooren

We investigate rank revealing factorizations of $m\times n$ polynomial matrices $P(\lambda )$ into products of three, $P(\lambda )=L(\lambda )E(\lambda )R(\lambda )$, or two, $P(\lambda )=L(\lambda )R(\lambda )$, polynomial matr…