IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v47y1998i2p165-181.html
   My bibliography  Save this article

A new highly convergent Monte Carlo method for matrix computations1Supported by The Royal Society (UK), partially supported by the NATO Grant R406/02640 and by the Ministry of Science and Education of Bulgaria under Grants no. I 501 and no. MM 449.1

Author

Listed:
  • Dimov, I.T.
  • Alexandrov, V.N.

Abstract

In this paper a second degree iterative Monte Carlo method for solving systems of linear algebraic equations and matrix inversion is presented. Comparisons are made with iterative Monte Carlo methods with degree one. It is shown that the mean value of the number of chains N, and the chain length T, required to reach given precision can be reduced. The following estimate on N is obtained: N=Nc/(cN+bN1/2c)2, where Nc is the number of chains in the usual degree one method. In addition it is shown that b>0 and that N

Suggested Citation

  • Dimov, I.T. & Alexandrov, V.N., 1998. "A new highly convergent Monte Carlo method for matrix computations1Supported by The Royal Society (UK), partially supported by the NATO Grant R406/02640 and by the Ministry of Science and Education of," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 47(2), pages 165-181.
    • Handle: RePEc:eee:matcom:v:47:y:1998:i:2:p:165-181
    DOI: 10.1016/S0378-4754(98)00101-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475498001013
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/S0378-4754(98)00101-3?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:eee:matcom:v:47:y:1998:i:2:p:165-181. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.