Numerical stability of orthogonalization methods with a non-standard inner product
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F12%3A00376851" target="_blank" >RIV/67985807:_____/12:00376851 - isvavai.cz</a>
Alternative codes found
RIV/46747885:24220/12:#0002237
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Numerical stability of orthogonalization methods with a non-standard inner product
Original language description
In this paper we study the numerical properties of several orthogonalization schemes where the inner product is induced by a nontrivial symmetric and positive definite matrix.We analyze the effect of its conditioning on the factorization and the loss oforthogonality between vectors computed in finite precision arithmetic. We consider the implementation based on the backward stable eigendecomposition, modified and classical Gram?Schmidt algorithms, Gram?Schmidt process with reorthogonalization as well as the implementation motivated by the AINV approximate inverse preconditioner.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Bit
ISSN
0006-3835
e-ISSN
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Volume of the periodical
52
Issue of the periodical within the volume
4
Country of publishing house
SE - SWEDEN
Number of pages
24
Pages from-to
1035-1058
UT code for WoS article
000310992400011
EID of the result in the Scopus database
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