Pivoting strategies leading to diagonal dominance by rows
type: Item
instance of: scholarly article
title: Pivoting strategies leading to diagonal dominance by rows
zbMATH Open document ID: 0919.65015
published in: Numerische Mathematik
publication date: 1999-09-05T00:00:00Z
review text: Pivoting strategies for Gaussian elimination leading to upper triangular matrices diagonally dominant by rows are considered. Forward error analysis of triangular systems with diagonally dominant by rows coefficient matrices is performed. Small bounds of the backward errors for the pivoting strategies are also obtained. Examples of matrices applied in this paper include H-matrices and some generalizations of diagonally dominant matrices. Pivoting strategies proposed in these examples satisfy all the results of the investigation.
reviewed by: Zbigniew Dżygadło
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 65G50
zbMATH DE Number: 1247606
zbMATH Keywords: diagonal dominance by rows
zbMATH Keywords: pivoting strategies
zbMATH Keywords: Gaussian elimination
zbMATH Keywords: error analysis
zbMATH Keywords: H-matrices
zbMATH Keywords: diagonally dominant matrices
author: J. M. Peña
describes a project that uses: mctoolbox
MaRDI profile type: Publication
full work available at URL: s002110050393
OpenAlex ID: W2071444487
DOI: 10.1007/S002110050393
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description: scientific article; zbMATH DE number 1247606