Residual Smoothing Techniques: Do They Improve the Limiting Accuracy of Iterative Solvers?

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SYSNO ASEP	0403719
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Residual Smoothing Techniques: Do They Improve the Limiting Accuracy of Iterative Solvers?
Author(s)	Gutknecht, M. H. (CH) Rozložník, Miroslav (UIVT-O)_{SAI, RID, ORCID}
Source Title	Bit. - : Springer - ISSN 0006-3835 Roč. 41, č. 1 (2001), s. 86-114
Number of pages	29 s.
Language	eng - English
Country	SE - Sweden
Keywords	iterative methods ; residual smoothing ; limiting accuracy
Subject RIV	BA - General Mathematics
R&D Projects	GA201/98/P108 GA ČR - Czech Science Foundation (CSF)
CEZ	1030915
UT WOS	000167334800005
EID SCOPUS	0345725586
DOI	10.1023/A:1021917801600
Annotation	Many iterative methods for solving linear systems produce often residuals whose norms fluctuate rather strongly. Large intermediate residuals are known to reduce the ultimately attainable accuracy of the method. We show that the ultimately attainable accuracy of the smoothed iterates is not higher than that of the primary iterates. Nevertheless, smoothing can be used to produce certain residuals, with higher attainable accuracy than by other frequently used algorithms.
Workplace	Institute of Computer Science
Contact	Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800
Year of Publishing	2002

Number of the records: 1