A note on the stability of Gauss-Jordan elimination for diagonally dominant matrices
type: Item
instance of: scholarly article
title: A note on the stability of Gauss-Jordan elimination for diagonally dominant matrices
zbMATH Open document ID: 0976.65027
author: A. Malyshev
published in: Computing
publication date: 2002-01-08T00:00:00Z
review text: The author proves that Gauss-Jordan elimination is backward stable for matrices diagonally dominant by rows but not for matrices diagonally dominant by columns.
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 1563395
zbMATH Keywords: stability
zbMATH Keywords: Gauss-Jordan elimination
zbMATH Keywords: diagonally dominant matrices
zbMATH Keywords: backward error analysis
reviewed by: Gabriele Steidl
describes a project that uses: mctoolbox
MaRDI profile type: Publication
full work available at URL: s006070070012
OpenAlex ID: W2023980665
DOI: 10.1007/S006070070012
description: scientific article; zbMATH DE number 1563395