How to Make Simpler GMRES and GCR More Stable

DOI10.1137/070707373zbMath1176.65036OpenAlexW2053101733MaRDI QIDQ3642844

Martin H. Gutknecht, Pavel Jiránek, Miroslav Rozložnik

Publication date: 6 November 2009

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070707373

zbMATH Keywords

numerical examplesnumerical stabilityKrylov subspace methodsGMRES methodgeneralized minimal residual methodrounding errorsminimum residual methodsORTHODIRGCR methodlarge-scale nonsymmetric linear systems

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Roundoff error (65G50) Numerical computation of matrix norms, conditioning, scaling (65F35)

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Uses Software

• MatrixMarket
• mctoolbox

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