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A two-step parallel iteration method for large sparse horizontal linear complementarity problems

Author

Listed:
  • Zhang, Yongxiong
  • Zheng, Hua
  • Vong, Seakweng
  • Lu, Xiaoping

Abstract

In this work, a two-step modulus-based synchronous multisplitting iteration method is constructed for solving large sparse horizontal linear complementarity problems. Some convergence theorems of the proposed method are presented, which can generalize the convergence results of some existing methods. Numerical tests on parallel computers by OpenACC show that the proposed method is efficient.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:438:y:2023:i:c:s0096300322006828
    DOI: 10.1016/j.amc.2022.127609
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    References listed on IDEAS

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    1. Xia, Zechen & Li, Chenliang, 2015. "Modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problem," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 34-42.
    2. Zheng, Hua & Vong, Seakweng, 2020. "On convergence of the modulus-based matrix splitting iteration method for horizontal linear complementarity problems of H+-matrices," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    3. Zheng, Hua & Vong, Seakweng, 2021. "On the modulus-based successive overrelaxation iteration method for horizontal linear complementarity problems arising from hydrodynamic lubrication," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    4. 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.
    5. Francesco Mezzadri & Emanuele Galligani, 2019. "Splitting Methods for a Class of Horizontal Linear Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 180(2), pages 500-517, February.
    Full references (including those not matched with items on IDEAS)

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