An experiment with arithmetic precision in linear algebra computations

DOI10.1002/fld.1650071006zbMath0638.65035OpenAlexW2029850564MaRDI QIDQ3779665

A. Lichnewsky, F. Thomasset, Jacques Laminie, Iain S. Duff

Publication date: 1987

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/inria-00075910/file/RR-0643.pdf

zbMATH Keywords

conjugate gradient methodGaussian eliminationtest problemsfloating point arithmeticpolynomial interpolationexperimental determination of floating point precisionrandom permutation techniquerounding errors accuracyworst case sensitivity technique

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Roundoff error (65G50) Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

• A practical guide to splines
• Error Analysis of Direct Methods of Matrix Inversion
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