• DocumentCode
    2215025
  • Title

    Block SOR two-stage iterative methods for solution of symmetric positive definite linear systems

  • Author

    Cai, Fang ; Xiao, Jie ; Xiang, Zhao-hong

  • Author_Institution
    Dept. of Inf. & Comput. Sci., Changsha Univ., Changsha, China
  • Volume
    1
  • fYear
    2010
  • fDate
    20-22 Aug. 2010
  • Abstract
    This paper discusses a class of two-stage iterations whose outer iterative methods are the block SOR methods for parallel solution of linear systems. Convergence is showed for symmetric positive definite linear systems, and an approximate optimal relaxation factor is defined for block tridiagonal matrices. The numerical results for Poisson model problem are presented.
  • Keywords
    convergence of numerical methods; iterative methods; linear systems; matrix algebra; stochastic processes; Poisson model problem; approximate optimal relaxation factor; block SOR methods; block tridiagonal matrices; convergence; symmetric positive definite linear systems; two-stage iterative methods; Linear systems; Parallel algorithms; Symmetric positive definite matrix; Tow-stage iterative methods; optimal relaxation factor;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Advanced Computer Theory and Engineering (ICACTE), 2010 3rd International Conference on
  • Conference_Location
    Chengdu
  • ISSN
    2154-7491
  • Print_ISBN
    978-1-4244-6539-2
  • Type

    conf

  • DOI
    10.1109/ICACTE.2010.5578996
  • Filename
    5578996