On the Triangular Form of a Polynomial Matrix and Its Invariants with Respect to the Semiscalar Equivalence

Abstract

We investigate the structure of polynomial matrices in connection with their reducibility by semiscalarequivalent transformations to simpler forms. We obtain a system of invariants for one class of matrices with respect to semiscalar equivalence. On this basis, we establish the almost canonical form of a matrix with respect to semiscalar equivalence.