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On the Convergence of Q-OR and Q-MR Krylov Methods for Solving Nonsymmetric Linear Systems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F16%3A00454997" target="_blank" >RIV/67985807:_____/16:00454997 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11160/16:10328410

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s10543-015-0564-y" target="_blank" >http://dx.doi.org/10.1007/s10543-015-0564-y</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10543-015-0564-y" target="_blank" >10.1007/s10543-015-0564-y</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the Convergence of Q-OR and Q-MR Krylov Methods for Solving Nonsymmetric Linear Systems

  • Original language description

    This paper addresses the convergence behavior of Krylov methods for nonsymmetric linear systems which can be classified as quasi-orthogonal (Q-OR) or quasi-minimum residual (Q-MR) methods. It explores, more precisely, whether the influence of eigenvalues is the same when using non-orthonormal bases as it is for the FOM and GMRES methods. It presents parametrizations of the classes of matrices with a given spectrum and right-hand sides generating prescribed Q-OR/Q-MR (quasi) residual norms and discusses non-admissible residual norm sequences. It also gives closed-form expressions of the Q-OR/Q-MR (quasi) residual norms as functions of the eigenvalues and eigenvectors of the matrix of the linear system.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA13-06684S" target="_blank" >GA13-06684S: Iterative Methods in Computational Mathematics: Analysis, Preconditioning, and Applications</a><br>

  • Continuities

    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

    Bit

  • ISSN

    0006-3835

  • e-ISSN

  • Volume of the periodical

    56

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    SE - SWEDEN

  • Number of pages

    21

  • Pages from-to

    77-97

  • UT code for WoS article

    000374411400005

  • EID of the result in the Scopus database

    2-s2.0-84952935275