IDEAS home Printed from https://ideas.repec.org/a/ids/ijrsaf/v6y2012i1-2-3p242-254.html
   My bibliography  Save this article

Accurate and verified numerical computation of the matrix determinant

Author

Listed:
  • Takeshi Ogita

Abstract

This paper is concerned with the numerical computation of the determinant of matrices. An algorithm for rigorously enclosing the determinant of a matrix is proposed, especially for extremely ill-conditioned cases. To achieve it, an accurate algorithm for inverse LU factorisation is used. Then accurate and verified results of the determinant can be efficiently obtained for a wide range of problems. An algorithm for computing the exact value of the determinant of an integer matrix is also proposed. Numerical results are presented showing the performance of the proposed algorithms.

Suggested Citation

  • Takeshi Ogita, 2012. "Accurate and verified numerical computation of the matrix determinant," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 6(1/2/3), pages 242-254.
    • Handle: RePEc:ids:ijrsaf:v:6:y:2012:i:1/2/3:p:242-254
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=44287
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    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:ids:ijrsaf:v:6:y:2012:i:1/2/3:p:242-254. 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=98 .

    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.