Convergence theory of exact interpolation scheme for computing several eigenvectors
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10334581" target="_blank" >RIV/00216208:11320/16:10334581 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/16:00235071
Result on the web
<a href="http://dx.doi.org/10.1002/nla.2029" target="_blank" >http://dx.doi.org/10.1002/nla.2029</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/nla.2029" target="_blank" >10.1002/nla.2029</a>
Alternative languages
Result language
angličtina
Original language name
Convergence theory of exact interpolation scheme for computing several eigenvectors
Original language description
An asymptotic convergence analysis of a new multilevel method for numerical solution of eigenvalues and eigenvectors of symmetric and positive definite matrices is performed. The analyzed method is a generalization of the original method that has recently been proposed by R. Kuel and P. Vanek (DOI: 10.1002/nla.1975) and uses a standard multigrid prolongator matrix enriched by one full column vector, which approximates the first eigenvector. The new generalized eigensolver is designed to compute eigenvectors. Their asymptotic convergence in terms of the generalized residuals is proved, and its convergence factor is estimated. The theoretical analysis is illustrated by numerical examples.
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/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</a><br>
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
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Numerical Linear Algebra with Applications
ISSN
1070-5325
e-ISSN
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Volume of the periodical
23
Issue of the periodical within the volume
2
Country of publishing house
GB - UNITED KINGDOM
Number of pages
18
Pages from-to
373-390
UT code for WoS article
000369856400009
EID of the result in the Scopus database
2-s2.0-84956796209