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Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for -Matrices

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  • Li-Tao Zhang
  • Jian-Lei Li
  • Tong-Xiang Gu
  • Xing-Ping Liu

Abstract

Based on the methods presented by Song and Yuan (1994), we construct relaxed matrix parallel multisplitting chaotic generalized USAOR-style methods by introducing more relaxed parameters and analyze the convergence of our methods when coefficient matrices are H -matrices or irreducible diagonally dominant matrices. The parameters can be adjusted suitably so that the convergence property of methods can be substantially improved. Furthermore, we further study some applied convergence results of methods to be convenient for carrying out numerical experiments. Finally, we give some numerical examples, which show that our convergence results are applied and easily carried out.

Suggested Citation

  • Li-Tao Zhang & Jian-Lei Li & Tong-Xiang Gu & Xing-Ping Liu, 2014. "Convergence of Relaxed Matrix Parallel Multisplitting Chaotic Methods for -Matrices," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, July.
    • Handle: RePEc:hin:jnljam:594185
    DOI: 10.1155/2014/594185
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