Probabilistic error analysis of Gaussian elimination in floating point and logarithmic arithmetic
type: Item
instance of: scholarly article
title: Probabilistic error analysis of Gaussian elimination in floating point and logarithmic arithmetic
zbMATH Open document ID: 0576.65036
DOI: 10.1007/BF02251834
author: E. H. Bareiss
author: Jesse L. Barlow
published in: Computing
publication date: 1985-01-01T00:00:00Z
review text: See the preview in Zbl 0561.65031.
Mathematics Subject Classification ID: 65G50
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 3921831
zbMATH Keywords: probabilistic error analysis
zbMATH Keywords: Gaussian elimination
zbMATH Keywords: logarithmic
zbMATH Keywords: arithmetic
zbMATH Keywords: floating point arithmetic
MaRDI profile type: Publication
cites work: Q5186637
cites work: Improved Trailing Digits Estimates Applied to Optimal Computer Arithmetic
cites work: Beyond Floating Point
cites work: Loss of Significance in Floating Point Subtraction and Addition
cites work: Q5586854
cites work: A New Approach to Error Arithmetic
cites work: A Posteriori Error Bounds for Gaussian Elimination
cites work: A Note on the Stability of Gaussian Elimination
cites work: The Accuracy of Error Estimates for Systems of Linear Algebraic Equations
cites work: Numerical inverting of matrices of high order
cites work: Q5674306
cites work: Q4342463
full work available at URL: https://doi.org/10.1007/bf02251834
OpenAlex ID: W110295737
description: scientific article; zbMATH DE number 3921831