An upper bound on the growth ratio of Gaussian elimination
type: Item
instance of: scholarly article
title: An upper bound on the growth ratio of Gaussian elimination
zbMATH Open document ID: 0855.65014
DOI: 10.1016/0024-3795(94)00128-6
published in: Linear Algebra and its Applications
publication date: 1996-04-28T00:00:00Z
review text: The author reports an adaptation of an earlier work of J. H. Wilkinson to obtain an upper bound for the growth ratio for Gaussian elimination with partial pivoting of a nonsingular real matrix satisfying certain additional requirements. Illustrative numerical examples are discussed.
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 871116
zbMATH Keywords: nonsingular matrix
zbMATH Keywords: upper bound
zbMATH Keywords: growth ratio
zbMATH Keywords: Gaussian elimination
zbMATH Keywords: partial pivoting
zbMATH Keywords: numerical examples
author: Tuck Sang Leóng
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)00128-6
OpenAlex ID: W1966532830
cites work: Q5535370
cites work: A Survey of Condition Number Estimation for Triangular Matrices
cites work: Condition, equilibration and pivoting in linear algebraic systems
cites work: Q3850185
cites work: Q5674306
cites work: Error Analysis of Direct Methods of Matrix Inversion
description: scientific article; zbMATH DE number 871116