Article ID Journal Published Year Pages File Type
4599908 Linear Algebra and its Applications 2013 8 Pages PDF
Abstract

This paper deals with a class of matrix polynomial equations which appears in a natural way in the study of Szegő–Kreıˇn orthogonal matrix polynomials. Necessary and sufficient conditions for solvability are given in terms of left and right root functions of the coefficients. The main result is a discrete version of the main theorem in 3 which concerns entire matrix functions.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory