IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/341982.html
   My bibliography  Save this article

Convergence Analysis of Preconditioned AOR Iterative Method for Linear Systems

Author

Listed:
  • Qingbing Liu
  • Guoliang Chen

Abstract

-( -)matrices appear in many areas of science and engineering, for example, in the solution of the linear complementarity problem (LCP) in optimization theory and in the solution of large systems for real-time changes of data in fluid analysis in car industry. Classical (stationary) iterative methods used for the solution of linear systems have been shown to convergence for this class of matrices. In this paper, we present some comparison theorems on the preconditioned AOR iterative method for solving the linear system. Comparison results show that the rate of convergence of the preconditioned iterative method is faster than the rate of convergence of the classical iterative method. Meanwhile, we apply the preconditioner to -matrices and obtain the convergence result. Numerical examples are given to illustrate our results.

Suggested Citation

  • Qingbing Liu & Guoliang Chen, 2010. "Convergence Analysis of Preconditioned AOR Iterative Method for Linear Systems," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-14, July.
    • Handle: RePEc:hin:jnlmpe:341982
    DOI: 10.1155/2010/341982
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2010/341982.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2010/341982.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2010/341982?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnlmpe:341982. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.