The equality relations in scientific computing
type: Item
instance of: scholarly article
title: The equality relations in scientific computing
zbMATH Open document ID: 0808.65054
DOI: 10.1007/BF02140678
author: Jean-Marie Chesneaux
published in: Numerical Algorithms
publication date: 1995-03-16T00:00:00Z
review text: First, the equality relation in floating point arithmetics is discussed, and its inadequacy is shown. Then stochastic numbers and the equality relation between them are introduced. On the examples of Gaussian elimination and the iterative Jacobi method it is shown how the second concept (i.e. stochastic equality) improves the solution significantly. The CESTAC method is used in the computations.
Mathematics Subject Classification ID: 65G50
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 640737
zbMATH Keywords: equality relation
zbMATH Keywords: floating point arithmetic
zbMATH Keywords: Gaussian elimination
zbMATH Keywords: iterative Jacobi method
zbMATH Keywords: stochastic equality
zbMATH Keywords: CESTAC method
reviewed by: Plamen Yalamov
describes a project that uses: CADNA
MaRDI profile type: Publication
cites work: Floating-point error propagation in iterative methods
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full work available at URL: https://doi.org/10.1007/bf02140678
OpenAlex ID: W1993851803
description: scientific article; zbMATH DE number 640737