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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F01%3A06010006" target="_blank" >RIV/67985807:_____/01:06010006 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F98%2FP108" target="_blank" >GA201/98/P108: Numerical stability analysis of iterative methods for the solution of large nonsymmetric linear systems</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2001

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

BIT

ISSN

0006-3835

e-ISSN

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Volume of the periodical

41

Issue of the periodical within the volume

1

Country of publishing house

SE - SWEDEN

Number of pages

29

Pages from-to

86-114

UT code for WoS article

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EID of the result in the Scopus database

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