Backward error analysis for linear systems associated with inverses of H- matrices
type: Item
instance of: scholarly article
title: Backward error analysis for linear systems associated with inverses of H- matrices
zbMATH Open document ID: 0557.65019
DOI: 10.1007/BF01934520
author: M. Neumann
author: Robert J. Plemmons
published in: BIT
publication date: 1984-01-01T00:00:00Z
review text: A backward error analysis for linear systems \(Ax=b\), where A is a matrix whose inverse can be associated with a diagonally dominant matrix is developed. It is shown that under some conditions the Gaussian elimination without pivoting for such systems can be safely implemented.
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 65G50
zbMATH DE Number: 3888799
zbMATH Keywords: backward error analysis
zbMATH Keywords: inverses of H-matrices
zbMATH Keywords: Gaussian
zbMATH Keywords: elimination
zbMATH Keywords: M-matrix
zbMATH Keywords: stability of triangular factorizations
reviewed by: Petko Hr. Petkov
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01934520
OpenAlex ID: W2051269960
description: scientific article; zbMATH DE number 3888799