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On the two-stage multisplitting iteration methods for linear complementarity problems

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  • Guo, Wenxiu
  • Zheng, Hua
  • Lu, Xiaoping
  • Zhang, Yongxiong

Abstract

In this work, the two-stage multisplitting iteration methods based on the equivalent modulus equations are analyzed for solving linear complementarity problems. New convergence results are presented where the convergence domains of the parameter matrices are enlarged compared the existing literatures. Furthermore, the improved domains are validated by numerical examples with parallel computations using OpenACC.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:475:y:2024:i:c:s0096300324002133
    DOI: 10.1016/j.amc.2024.128741
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    References listed on IDEAS

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    1. 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.
    2. Li-Li Zhang, 2014. "Two-Stage Multisplitting Iteration Methods Using Modulus-Based Matrix Splitting as Inner Iteration for Linear Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 160(1), pages 189-203, January.
    3. M. Seetharama Gowda & Jong-Shi Pang, 1992. "On Solution Stability of the Linear Complementarity Problem," Mathematics of Operations Research, INFORMS, vol. 17(1), pages 77-83, February.
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