Solution of systems with Toeplitz matrices generated by rational functions
type: Item
instance of: scholarly article
title: Solution of systems with Toeplitz matrices generated by rational functions
zbMATH Open document ID: 0588.15003
DOI: 10.1016/0024-3795(86)90122-9
author: William F. Trench
published in: Linear Algebra and its Applications
publication date: 1986-01-01T00:00:00Z
review text: The author shows how to consider Toeplitz matrices of a certain kind to solve bounded Toeplitz systems. The involved problems in these systems are also investigated and further computational algorithms are given to show the solution of a bounded Toeplitz matrix. This work extends and improves current results for Toeplitz systems associated with more general rational generating functions.
Mathematics Subject Classification ID: 15A06
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 3944034
zbMATH Keywords: Toeplitz matrices
zbMATH Keywords: bounded Toeplitz systems
zbMATH Keywords: rational generating functions
reviewed by: Dimitris Voukalis
MaRDI profile type: Publication
full work available at URL: 0024-3795(86)90122-9
OpenAlex ID: W1997375497
cites work: Toeplitz Matrices Generated by the Laurent Series Expansion of an Arbitrary Rational Function
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cites work: Q4775961
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cites work: Band matrices with Toeplitz inverses
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cites work: Explicit Inversion Formulas for Toeplitz Band Matrices
description: scientific article; zbMATH DE number 3944034