sis 14(2): e5

Research Article

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

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  • @ARTICLE{10.4108/sis.1.2.e5,
    author={GuoYan Meng and Chuan Long Wang and Xi Hong  Yan and Qing Shan  Zhao},
    title={Non-stationary Parallel Multisplitting Two-Stage Iterative Methods with Self-AdaptiveWeighting Schemes},
    journal={EAI Endorsed Transactions on Scalable Information Systems},
    volume={1},
    number={2},
    publisher={ICST},
    journal_a={SIS},
    year={2014},
    month={3},
    keywords={Self-adaptive weighting matrices, non-stationary, multisplitting, two-stage, linear systems},
    doi={10.4108/sis.1.2.e5}
}
  • GuoYan Meng
    Chuan Long Wang
    Xi Hong Yan
    Qing Shan Zhao
    Year: 2014
    Non-stationary Parallel Multisplitting Two-Stage Iterative Methods with Self-AdaptiveWeighting Schemes
    SIS
    ICST
    DOI: 10.4108/sis.1.2.e5
GuoYan Meng1, Chuan Long Wang2,*, Xi Hong Yan2, Qing Shan Zhao1
  • 1: Department of Compute Science, Xinzhou teacher University, Xinzhou 034000, Shanxi Province, P. R. China
  • 2: Department of mathematics, Taiyuan Normal University, Taiyuan 030012, Shanxi Province, P. R. China
  • a: Department of Compute Science, Xinzhou teacher University, Xinzhou 034000, Shanxi Province, P. R. China
*Contact email: clwang218@126.com

Abstract

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
Self-adaptive weighting matrices, non-stationary, multisplitting, two-stage, linear systems
Received
2013-01-05
Accepted
2013-08-03
Published
2014-03-04
Publisher
ICST
http://dx.doi.org/10.4108/sis.1.2.e5

Copyright © 2014 G.Y. Meng et al., licensed to ICST. This is an open access article distributed under the terms of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/), which permits unlimited use, distribution and reproduction in any medium so long as the original work is properly cited.