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    On the Eigenvalues and Eigenvectors of Block Triangular Preconditioned Block Matrices

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    Type
    Article
    Authors
    Pestana, Jennifer
    KAUST Grant Number
    KUK-C1-013-04
    Date
    2014-01
    Permanent link to this record
    http://hdl.handle.net/10754/599051
    
    Metadata
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    Abstract
    Block lower triangular matrices and block upper triangular matrices are popular preconditioners for 2×2 block matrices. In this note we show that a block lower triangular preconditioner gives the same spectrum as a block upper triangular preconditioner and that the eigenvectors of the two preconditioned matrices are related. © 2014 Society for Industrial and Applied Mathematics.
    Citation
    Pestana J (2014) On the Eigenvalues and Eigenvectors of Block Triangular Preconditioned Block Matrices. SIAM Journal on Matrix Analysis and Applications 35: 517–525. Available: http://dx.doi.org/10.1137/130920897.
    Sponsors
    This work was supported by award KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
    Publisher
    Society for Industrial & Applied Mathematics (SIAM)
    Journal
    SIAM Journal on Matrix Analysis and Applications
    DOI
    10.1137/130920897
    ae974a485f413a2113503eed53cd6c53
    10.1137/130920897
    Scopus Count
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    Publications Acknowledging KAUST Support

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