Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F02%3A06020010" target="_blank" >RIV/67985807:_____/02:06020010 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Residual and Backward Error Bounds in Minimum Residual Krylov Subspace Methods.
Original language description
In this paper theoretical results of [C. Paige and Z. Strakoš, Bounds for the least squares distance using scaled total least squares, Numer. Math., to appear] are extended to the GMRES context. The bounds that are developed are important in theory, butthey also have fundamental practical implications for the finite precision behavior of the modified Gram-Schmidt implementation of GMRES, and perhaps for other minimum norm methods.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/IAA1030103" target="_blank" >IAA1030103: Scalable Sparse Linear Algebraic Solvers: Analysis, Development, Implementation and Application</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM Journal on Scientific Computing
ISSN
1064-8275
e-ISSN
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Volume of the periodical
23
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
25
Pages from-to
1899-1924
UT code for WoS article
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EID of the result in the Scopus database
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