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Synchronous and Asynchronous Multisplitting Iteration Schemes for Solving Mixed Linear Complementarity Problems with H-Matrices

Author

Listed:
  • Cuiyu Liu

    (Guilin University of Electronic Technology)

  • Chenliang Li

    (Guilin University of Electronic Technology)

Abstract

In this paper, we consider some relaxed synchronous and asynchronous multisplitting iteration schemes for solving the mixed linear complementarity problems, with the matrix A being H-matrix. We establish some convergence theorems for the methods. Numerical results show that the new methods are efficient and suitable to parallel computing.

Suggested Citation

  • Cuiyu Liu & Chenliang Li, 2016. "Synchronous and Asynchronous Multisplitting Iteration Schemes for Solving Mixed Linear Complementarity Problems with H-Matrices," Journal of Optimization Theory and Applications, Springer, vol. 171(1), pages 169-185, October.
    • Handle: RePEc:spr:joptap:v:171:y:2016:i:1:d:10.1007_s10957-016-0944-8
    DOI: 10.1007/s10957-016-0944-8
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    Cited by:

    1. Guo, Wenxiu & Zheng, Hua & Lu, Xiaoping & Zhang, Yongxiong, 2024. "On the two-stage multisplitting iteration methods for linear complementarity problems," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    2. Zhang, Yongxiong & Zheng, Hua & Vong, Seakweng & Lu, Xiaoping, 2023. "A two-step parallel iteration method for large sparse horizontal linear complementarity problems," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    3. Zhang, Yongxiong & Zheng, Hua & Lu, Xiaoping & Vong, Seakweng, 2023. "Modulus-based synchronous multisplitting iteration methods without auxiliary variable for solving vertical linear complementarity problems," Applied Mathematics and Computation, Elsevier, vol. 458(C).

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