IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v05y1994i06ns012918319400115x.html
   My bibliography  Save this article

Accelerating Wilson Fermion Matrix Inversions By Means Of The Stabilized Biconjugate Gradient Algorithm

Author

Listed:
  • ANDREAS FROMMER

    (Mathematics Department, University of Wuppertal 42097 Wuppertal, Germany)

  • VOLKER HANNEMANN

    (Mathematics Department, University of Wuppertal 42097 Wuppertal, Germany)

  • BERTOLD NÖCKEL

    (Mathematics Department, University of Wuppertal 42097 Wuppertal, Germany)

  • THOMAS LIPPERT

    (Physics Department, University of Wuppertal 42097 Wuppertal, Germany)

  • KLAUS SCHILLING

    (Physics Department, University of Wuppertal 42097 Wuppertal, Germany)

Abstract

The stabilized biconjugate gradient algorithm BiCGStab recently presented by van der Vorst is applied to the inversion of the lattice fermion operator in the Wilson formulation of lattice Quantum Chromodynamics. Its computational efficiency is tested in a comparative study against the conjugate gradient and minimal residual methods.Both for quenched gauge configurations atβ=6.0and gauge configurations with dynamical fermions atβ=5.4, we find BiCGStab to be superior to the other methods. BiCGStab turns out to be particularly useful in the chiral regime of small quark masses.

Suggested Citation

  • Andreas Frommer & Volker Hannemann & Bertold Nöckel & Thomas Lippert & Klaus Schilling, 1994. "Accelerating Wilson Fermion Matrix Inversions By Means Of The Stabilized Biconjugate Gradient Algorithm," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 5(06), pages 1073-1088.
    • Handle: RePEc:wsi:ijmpcx:v:05:y:1994:i:06:n:s012918319400115x
    DOI: 10.1142/S012918319400115X
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S012918319400115X
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S012918319400115X?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:wsi:ijmpcx:v:05:y:1994:i:06:n:s012918319400115x. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.