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On Error Estimation in the Conjugate Gradient Method: Normwise Backward Error

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F16%3A00458346" target="_blank" >RIV/67985807:_____/16:00458346 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/16:10331478

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Error Estimation in the Conjugate Gradient Method: Normwise Backward Error

  • Original language description

    Using an idea of Duff and Vömel [BIT, 42 (2002), pp. 300-322 ] we suggest a simple algorithm that incrementally estimates the 2-norm of Jacobi matrices that are available during the conjugate gradient (CG) computations. The estimate can be used, e.g., in stopping criteria based on the normwise backward error. Numerical experiments predict that the estimate approximates the 2-norm of A with a suffcient accuracy.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • 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

  • Article name in the collection

    Algoritmy 2016

  • ISBN

    978-80-227-4544-4

  • ISSN

  • e-ISSN

  • Number of pages

    10

  • Pages from-to

    323-332

  • Publisher name

    Slovak University of Technology

  • Place of publication

    Bratislava

  • Event location

    Vysoké Tatry - Podbanské

  • Event date

    Mar 13, 2016

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000391175600033