Triangular factors of Cauchy and Vandermonde matrices
type: Item
instance of: scholarly article
title: Triangular factors of Cauchy and Vandermonde matrices
zbMATH Open document ID: 0858.15006
DOI: 10.1007/BF01229504
published in: Integral Equations and Operator Theory
publication date: 1997-03-11T00:00:00Z
review text: Let \(M\) be a Cauchy matrix or a Vandermonde matrix. Then \(M= LDU\), where \(L\) is a lower triangular, \(U\) an upper triangular, and \(D\) a diagonal matrix. Clearly, \(M^{-1} = U^{-1} D^{-1} L^{-1}\). The authors obtain explicit expressions for \(L\), \(D\), \(U\), \(L^{-1}\), \(D^{-1}\), and \(U^{-1}\).
reviewed by: Erich W. Ellers
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 938766
zbMATH Keywords: \(LU\)-decomposition
zbMATH Keywords: upper triangular matrix
zbMATH Keywords: lower triangular matrix
zbMATH Keywords: Cauchy matrix
zbMATH Keywords: Vandermonde matrix
author: I. Gohberg
author: I. Koltracht
MaRDI profile type: Publication
cites work: Solution of Vandermonde systems of equations
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cites work: Q4840532
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full work available at URL: https://doi.org/10.1007/bf01229504
OpenAlex ID: W2330910204
description: scientific article; zbMATH DE number 938766