Simultaneous residue interpolation problems for rational matrix functions
type: Item
instance of: scholarly article
title: Simultaneous residue interpolation problems for rational matrix functions
zbMATH Open document ID: 0713.15009
DOI: 10.1007/BF01732315
author: Joseph A. Ball
author: I. Gohberg
author: Leiba Rodman
published in: Integral Equations and Operator Theory
publication date: 1990-01-01T00:00:00Z
review text: The authors generalize their earlier results about an analogue of the Lagrange-Sylvester interpolation problem for rational matrix functions. They give necessary and sufficient conditions for the consistency of a finite collection of interpolation conditions on a rational matrix function which are expressed in terms of residues. They describe when the collection of interpolation conditions is equivalent to a single set of interpolation conditions. Some machinery developed earlier by the authors in connection with characterization of least common minimal multiples and greatest common minimal divisors for regular rational matrix functions is the main tool of the work.
reviewed by: Ali-Akbar Jafarian
Mathematics Subject Classification ID: 15A54
Mathematics Subject Classification ID: 47A57
zbMATH DE Number: 4173156
zbMATH Keywords: Lagrange-Sylvester interpolation
zbMATH Keywords: rational matrix functions
zbMATH Keywords: consistency
zbMATH Keywords: residues
zbMATH Keywords: least common minimal multiples
zbMATH Keywords: greatest common minimal divisors
MaRDI profile type: Publication
cites work: Q3497214
cites work: Common minimal multiples and divisors for rational matrix functions
cites work: Q3477119
cites work: Minimal factorization of meromorphic matrix functions in terms of local data
cites work: Q4205884
cites work: An inverse spectral problem for rational matrix functions and minimal divisibility
cites work: Q3939931
full work available at URL: https://doi.org/10.1007/bf01732315
OpenAlex ID: W2094059977
description: scientific article; zbMATH DE number 4173156