A geometric analysis of Gaussian elimination. II
type: Item
instance of: scholarly article
title: A geometric analysis of Gaussian elimination. II
zbMATH Open document ID: 0765.65036
DOI: 10.1016/0024-3795(92)90432-A
author: Larry Neal
author: George D. Poole
published in: Linear Algebra and its Applications
publication date: 1992-09-27T00:00:00Z
review text: [For part I see ibid. 149, 249-272 (1991; Zbl 0723.65014).] The authors continue their study of geometric analysis of Gaussian elimination. They introduce the concept of back substitution-phase error multipliers which explains certain observations on Gaussian elimination in finite precision floating point computer environment. A new pivoting strategy is designed. Extensive numerical experiments illustrating the conclusions are discussed.
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 57543
zbMATH Keywords: Gaussian elimination
zbMATH Keywords: back substitution-phase error multipliers
zbMATH Keywords: pivoting strategy
zbMATH Keywords: numerical experiments
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
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full work available at URL: 0024-3795(92)90432-a
OpenAlex ID: W2140269643
description: scientific article; zbMATH DE number 57543