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Preconditioners for regularized saddle point matrices

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    SYSNO ASEP0361645
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitlePreconditioners for regularized saddle point matrices
    Author(s) Axelsson, Owe (UGN-S) RID
    Number of authors1
    Source TitleJournal of Numerical Mathematics. - : Walter de Gruyter - ISSN 1570-2820
    Roč. 19, č. 2 (2011), s. 91-112
    Number of pages23 s.
    Publication formwww - www
    Languageeng - English
    CountryDE - Germany
    Keywordssaddle point matrices ; preconditioning ; regularization ; eigenvalue clustering
    Subject RIVBA - General Mathematics
    CEZAV0Z30860518 - UGN-S (2005-2011)
    UT WOS000292773100001
    DOI10.1515/JNUM.2011.005
    AnnotationSaddle point problems with singular or indefinite pivot blockmatrix arise in various applications. In some problems it may be necessary to regularize the corresponding matrix is some way. By straightforward derivations it is shown that use of certain preconditioners on block diagonal and block triangular form can be very efficient, both for the original matrix and for its regularized forms. As the value of regularization parameter increases, the eigenvalues cluster at unity or at just two points on the real line.
    WorkplaceInstitute of Geonics
    ContactLucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354
    Year of Publishing2012
    Electronic addresshttp://www.degruyter.com/view/j/jnma.2011.19.issue-2/jnum.2011.005/jnum.2011.005.xml
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