Common minimal multiples and divisors for rational matrix functions
type: Item
instance of: scholarly article
title: Common minimal multiples and divisors for rational matrix functions
zbMATH Open document ID: 0722.15015
DOI: 10.1016/0024-3795(90)90143-Z
author: Joseph A. Ball
author: I. Gohberg
author: Leiba Rodman
published in: Linear Algebra and its Applications
publication date: 1990-01-01T00:00:00Z
review text: The theory of common multiples and common divisors of regular matrix polynomials developed in an earlier paper by the second and the third author, \textit{M. A. Kaashoek}, and \textit{L. Lerer} [Indiana Univ. Math. J. 30, 321-356 (1981; Zbl 0449.15015)] is extended to rational matrix functions. Attention is focused mainly on problems of existence, uniqueness, and construction from local data. The theory leads to a complete understanding of simultaneous bitangential Lagrange-Sylvester interpolation for rational matrix functions which is the subject of a subsequent paper by the authors.
reviewed by: Jaroslav Zemánek
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 4189925
zbMATH Keywords: factorization of matrix functions
zbMATH Keywords: common multiples
zbMATH Keywords: common divisors
zbMATH Keywords: regular matrix polynomials
zbMATH Keywords: rational matrix functions
zbMATH Keywords: simultaneous bitangential Lagrange-Sylvester interpolation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4189925