• RecordNumber
    2317
  • Author

    He, Jun

  • Crop_Body
    Jun He, Ting-Zhu Huang and Guang-Hui Cheng
  • Title of Article

    A modified generalization of the Hermitian and skew-Hermitian splitting iteration∗

  • Title Of Journal
    Bull. Math. Soc. Sci. Math. Roumanie
  • PublishInfo
    Chengdu, Sichuan :School of Mathematical Sciences, University of Electronic Science and Technology of China
  • Publication Year
    2012
  • Volum
    55
  • Issue Number
    2
  • Page
    147-155
  • Keywords
    matrix splittings , HSS iteration 2010 Mathematics Subject Classification: Primary 65K05, Secondary 65N22, 65F10. , Saddle point system
  • Abstract
    In this paper, we further study the GHSS splitting method for nonHermitian positive definite linear problems, which is introduced by Benzi [A generalization of the Hermitian and skew-Hermitian splitting iteration, SIAM J. Matrix Anal. Appl., 31 (2009), pp. 360-374]. A modified generalization of the Hermitian and skew-Hermitian method (MGHSS) is given, and it still can be used as an effective preconditioner for saddle point systems. We will show the effectiveness of our preconditioner.