Explicit and asymptotic formulas for \(LDM^ t\) factorization of banded Toeplitz matrices
type: Item
instance of: scholarly article
title: Explicit and asymptotic formulas for \(LDM^ t\) factorization of banded Toeplitz matrices
zbMATH Open document ID: 0828.15011
DOI: 10.1016/0024-3795(95)94777-5
author: James Lee Hafner
published in: Linear Algebra and its Applications
publication date: 1996-01-16T00:00:00Z
review text: Let \(T\) be a banded Toeplitz matrix. Then \(T= LDM^t\), where \(L\) and \(M\) are unipotent lower triangular banded matrices and \(D\) is a diagonal matrix. There are well-known recursion formulas for the entries of \(L\), \(M\), and \(D\). The author gives conditions under which the sequence formed by the entries in any subdiagonal of \(L\) or \(M\) is converging exponentially, i.e. for very large dimensions \(L\) and \(M\) are approximately Toeplitz, and the sequence formed by the diagonal \(D\) converges exponentially.
reviewed by: Erich W. Ellers
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 778238
zbMATH Keywords: factorization
zbMATH Keywords: exponential convergence
zbMATH Keywords: banded Toeplitz matrix
zbMATH Keywords: lower triangular banded matrices
MaRDI profile type: Publication
full work available at URL: 0024-3795(95)94777-5
OpenAlex ID: W2076663134
Wikidata QID: Q117784158
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description: scientific article; zbMATH DE number 778238