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On the modulus-based successive overrelaxation iteration method for horizontal linear complementarity problems arising from hydrodynamic lubrication

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  • Zheng, Hua
  • Vong, Seakweng

Abstract

In this paper, for the horizontal linear complementarity problems arising from hydrodynamic lubrication, the convergence of modulus-based successive overrelaxation iteration method is presented, which extends the existing results given in the recent work of Mezzadri F. and Galligani E. published on Math. Comput. Simulat. Numerical examples demonstrate the significance of the proposed theorems.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:402:y:2021:i:c:s0096300321002551
    DOI: 10.1016/j.amc.2021.126165
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    References listed on IDEAS

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    1. Wen, Baolian & Zheng, Hua & Li, Wen & Peng, Xiaofei, 2018. "The relaxation modulus-based matrix splitting iteration method for solving linear complementarity problems of positive definite matrices," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 349-357.
    2. Zheng, Hua & Vong, Seakweng & Liu, Ling, 2019. "A direct preconditioned modulus-based iteration method for solving nonlinear complementarity problems of H-matrices," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 396-405.
    3. Mezzadri, Francesco & Galligani, Emanuele, 2020. "On the convergence of modulus-based matrix splitting methods for horizontal linear complementarity problems in hydrodynamic lubrication," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 176(C), pages 226-242.
    4. 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).
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    Citations

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    Cited by:

    1. 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).
    2. Ali, Rashid & Akgul, Ali, 2024. "A new matrix splitting generalized iteration method for linear complementarity problems," Applied Mathematics and Computation, Elsevier, vol. 464(C).

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