The conditioning of Toeplitz band matrices
type: Item
instance of: scholarly article
title: The conditioning of Toeplitz band matrices
zbMATH Open document ID: 0858.65045
DOI: 10.1016/0895-7177(96)00052-0
author: Luigi Brugnano
author: Pierluigi Amodio
published in: Mathematical and Computer Modelling
publication date: 1997-03-11T00:00:00Z
review text: When one applies boundary value methods to the solution of initial value problems, one is concerned with the behavior of the inverses of certain Toeplitz band matrices. The authors derive practical conditions to check the well-conditioning of a family of nonsingular Toeplitz band matrices. The results are based on the location of the zeros of a polynomial associated with this family. The same analysis is used to derive uniform componentwise bounds for the entries of the inverse matrices in such a family.
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 15A12
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 915040
zbMATH Keywords: matrix condition
zbMATH Keywords: boundary value methods
zbMATH Keywords: initial value problems
zbMATH Keywords: Toeplitz band matrices
zbMATH Keywords: zeros of a polynomial
zbMATH Keywords: inverse matrices
MaRDI profile type: Publication
full work available at URL: 0895-7177(96)00052-0
OpenAlex ID: W2146435055
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description: scientific article; zbMATH DE number 915040