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Overlapping restricted additive Schwarz method with damping factor for H-matrix linear complementarity problem

Author

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  • Zhang, Li-Tao
  • Gu, Tong-Xiang
  • Liu, Xing-Ping

Abstract

In this paper, we consider an overlapping restricted additive Schwarz method (RAS) with damping factor for solving H+-matrix linear complementarity problem. Moreover, we estimate the weighted max-norm bounds for iteration errors and show that the sequence generated by the overlapping restricted additive Schwarz method (RAS) with damping factor converges to the unique solution of the problem without any restriction on the initial point. Finally, we establish monotone convergence of the proposed method under appropriate conditions.

Suggested Citation

  • Zhang, Li-Tao & Gu, Tong-Xiang & Liu, Xing-Ping, 2015. "Overlapping restricted additive Schwarz method with damping factor for H-matrix linear complementarity problem," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 1-10.
    • Handle: RePEc:eee:apmaco:v:271:y:2015:i:c:p:1-10
    DOI: 10.1016/j.amc.2015.08.100
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    References listed on IDEAS

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    1. Haijian Yang & Qingguo Li, 2012. "Overlapping restricted additive Schwarz method applied to the linear complementarity problem with an H-matrix," Computational Optimization and Applications, Springer, vol. 51(1), pages 223-239, January.
    2. Alvaro R. De Pierro & Alfredo N. Iusem, 1993. "Convergence Properties of Iterative Methods for Symmetric Positive Semidefinite Linear Complementarity Problems," Mathematics of Operations Research, INFORMS, vol. 18(2), pages 317-333, May.
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    Cited by:

    1. Lori Badea, 2019. "Additive and restricted additive Schwarz–Richardson methods for inequalities with nonlinear monotone operators," Computational Optimization and Applications, Springer, vol. 74(2), pages 345-385, November.
    2. Bo Wang & Tiancheng Wang & Mao Yang & Chao Han & Dawei Huang & Dake Gu, 2023. "Ultra-Short-Term Prediction Method of Wind Power for Massive Wind Power Clusters Based on Feature Mining of Spatiotemporal Correlation," Energies, MDPI, vol. 16(6), pages 1-16, March.
    3. Zhang, Jiaan & Liu, Dong & Li, Zhijun & Han, Xu & Liu, Hui & Dong, Cun & Wang, Junyan & Liu, Chenyu & Xia, Yunpeng, 2021. "Power prediction of a wind farm cluster based on spatiotemporal correlations," Applied Energy, Elsevier, vol. 302(C).

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    1. Lori Badea, 2019. "Additive and restricted additive Schwarz–Richardson methods for inequalities with nonlinear monotone operators," Computational Optimization and Applications, Springer, vol. 74(2), pages 345-385, November.

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