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A Framework for Generalized Conjugate Gradient Methods - with Special Emphasis on Contributions by Rüdiger Weiss
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SYSNO ASEP 0404264 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A Framework for Generalized Conjugate Gradient Methods - with Special Emphasis on Contributions by Rüdiger Weiss Author(s) Gutknecht, M. H. (CH)
Rozložník, Miroslav (UIVT-O) SAI, RID, ORCIDSource Title Applied Numerical Mathematics. - : Elsevier - ISSN 0168-9274
Roč. 41, - (2002), s. 7-22Number of pages 26 s. Language eng - English Country NL - Netherlands Keywords sparse linear systems ; Krylov space method ; orthogonal residual method ; minimal residual method ; conjugate gradient method ; residual smoothing ; CG ; CGNE ; CGNR ; CR ; FOM ; GMRES ; PRES Subject RIV BA - General Mathematics R&D Projects IAA1030103 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) GA101/00/1035 GA ČR - Czech Science Foundation (CSF) CEZ 1030915 UT WOS 000174414800002 EID SCOPUS 0036532927 DOI 10.1016/S0168-9274(01)00107-6 Annotation We discuss a general framework for generalized conjugate gradient methods, that is, iterative methods (for solving linear systems) that are based on generating residuals that are formally orthogonal to each other with respect to some true or formal inner product. This includes methods that generate residuals that are minimal with respect to some norm based on an inner product. A similar, even more general framework was introduced and extensively discussed by Weiss in his work. Weiss also emphasized... Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2003
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