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On some new approximate factorization methods for block tridiagonal matrices suitable for vector and parallel processors

Author

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  • Li, Hou-Biao
  • Huang, Ting-Zhu
  • Zhang, Yong
  • Liu, Xing-Ping
  • Li, Hong

Abstract

In this paper, to obtain an efficient parallel algorithm to solve sparse block-tridiagonal linear systems, stair matrices are used to construct some parallel polynomial approximate inverse preconditioners. These preconditioners are suitable when the desired goal is to maximize parallelism. Moreover, some theoretical results concerning these preconditioners are presented and how to construct preconditioners effectively for any nonsingular block tridiagonal H-matrices is also described. In addition, the validity of these preconditioners is illustrated with some numerical experiments arising from the second order elliptic partial differential equations and oil reservoir simulations.

Suggested Citation

  • Li, Hou-Biao & Huang, Ting-Zhu & Zhang, Yong & Liu, Xing-Ping & Li, Hong, 2009. "On some new approximate factorization methods for block tridiagonal matrices suitable for vector and parallel processors," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2135-2147.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:7:p:2135-2147
    DOI: 10.1016/j.matcom.2008.09.009
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    Cited by:

    1. Luo, Wei-Hua & Gu, Xian-Ming & Carpentieri, Bruno, 2022. "A hybrid triangulation method for banded linear systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 97-108.

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