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Matrix-Free Preconditioning using Partial Matrix Estimation

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    SYSNO ASEP0042084
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleMatrix-Free Preconditioning using Partial Matrix Estimation
    TitlePředpodmiňování soustav s implicitní maticí s využitím její částečné rekonstrukce
    Author(s) Cullum, J. K. (US)
    Tůma, Miroslav (UIVT-O) SAI, RID, ORCID
    Source TitleBit. - : Springer - ISSN 0006-3835
    Roč. 46, č. 4 (2006), s. 711-729
    Number of pages19 s.
    Languageeng - English
    CountrySE - Sweden
    Keywordsmatrix-free algorithms ; linear algebraic equations ; large sparse matrices ; preconditioned iterative methods
    Subject RIVBA - General Mathematics
    R&D Projects1ET400300415 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    IAA1030405 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    CEZAV0Z10300504 - UIVT-O (2005-2011)
    UT WOS000242498500003
    EID SCOPUS33845319245
    DOI10.1007/s10543-006-0094-8
    AnnotationWe consider matrix-free solver environments where information about the underlying matrix is available only through matrix vector computations which do not have access to a fully assembled matrix. We introduce the notion of partial matrix estimation for constructing good algebraic preconditioners used in Krylov iterative methods in such matrix-free environments, and formulate three new graph coloring problems for partial matrix estimation. Numerical experiments utilizing one of these formulations demonstrate the viability of this approach.
    WorkplaceInstitute of Computer Science
    ContactTereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800
    Year of Publishing2007
Number of the records: 1  

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