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Modulus-based synchronous multisplitting iteration methods for large sparse vertical linear complementarity problems

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Abstract

In this paper, for solving large sparse vertical linear complementarity problems, the modulus-based synchronous multisplitting iteration method is established. Convergence theorems of the proposed method are given, which are shown to generalize and improve the existing results of the serial method. Numerical tests by OpenACC technique are given to show the efficiency of the proposed method.

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Acknowledgements

The authors would like to thank the anonymous reviewers for their helpful comments.

Funding

This work was supported by the Major Projects of Guangdong Education Department for Foundation Research and Applied Research (No. 2018KZDXM065), the Science and Technology Development Fund, Macau SAR (No. 0005/2019/A, 0073/2019/A2), University of Macau (No. MYRG2020-00035-FST, MYRG2018-00047-FST), the Scientific Computing Research Innovation Team of Guangdong Province (No. 2021KCXTD052), Technology Planning Project of Shaoguan (No. 210716094530390) and the Science Foundation of Shaoguan University (No. SZ2020KJ01, SY2021KJ09).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Shaoguan University, Shaoguan, People’s Republic of China

    Hua Zheng

  2. School of Computer Science and Engineering, Macau University of Science and Technology, Macau, People’s Republic of China

    Yongxiong Zhang & Xiaoping Lu

  3. Department of Mathematics, University of Macau, Macau, People’s Republic of China

    Seakweng Vong

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  1. Hua Zheng
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  2. Yongxiong Zhang
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  3. Xiaoping Lu
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  4. Seakweng Vong
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Correspondence to Seakweng Vong.

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Zheng, H., Zhang, Y., Lu, X. et al. Modulus-based synchronous multisplitting iteration methods for large sparse vertical linear complementarity problems. Numer Algor 93, 711–729 (2023). https://doi.org/10.1007/s11075-022-01436-2

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