IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v54y2000i4p403-412.html
   My bibliography  Save this article

Gauss–Radau formulae for Jacobi and Laguerre weight functions

Author

Listed:
  • Gautschi, Walter

Abstract

Explicit expressions are obtained for the weights of the Gauss–Radau quadrature formula for integration over the interval [−1,1] relative to the Jacobi weight function (1−t)α(1+t)β, α>−1, β>−1. The nodes are known to be the eigenvalues of a symmetric tridiagonal matrix, which is also obtained explicitly. Similar results hold for Gauss–Radau quadrature over the interval [0,∞) relative to the Laguerre weight tαe−t, α>−1.

Suggested Citation

  • Gautschi, Walter, 2000. "Gauss–Radau formulae for Jacobi and Laguerre weight functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 54(4), pages 403-412.
    • Handle: RePEc:eee:matcom:v:54:y:2000:i:4:p:403-412
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475400001798
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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:54:y:2000:i:4:p:403-412. 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.