EAI Endorsed Transactions on Scalable Information Systems (Mar 2014)

Non-stationary Parallel Multisplitting Two-Stage Iterative Methods with Self-AdaptiveWeighting Schemes

  • GuoYan Meng,
  • Chuan Long Wang,
  • Xi Hong Yan,
  • Qing Shan Zhao

DOI
https://doi.org/10.4108/sis.1.2.e5
Journal volume & issue
Vol. 1, no. 2
pp. 1 – 8

Abstract

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In this paper, we study the non-stationary parallel multisplitting two-stage iterative methods with selfadaptive weighting matrices for solving a linear system whose coefficient matrix is symmetric positive definite. Two choices of Self-adaptive weighting matrices are given, especially, the nonnegativity is eliminated. Moreover, we prove the convergence of the non-stationary parallel multisplitting two-stage iterative methods with self-adaptive weighting matrices. Finally, the numerical comparisons of several self-adaptive nonstationary parallel multisplitting two-stage iterative methods are shown.

Keywords