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A class of new modulus-based matrix splitting methods for linear complementarity problem

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Abstract

In this paper, to economically and fast solve the linear complementarity problem, based on a new equivalent fixed-point form of the linear complementarity problem, we establish a class of new modulus-based matrix splitting methods, which is different from the previously published works. Some sufficient conditions to guarantee the convergence of this new iteration method are presented. Numerical examples are offered to show the efficacy of this new iteration method. Moreover, the comparisons on numerical results show the computational efficiency of this new iteration method advantages over the corresponding modulus method, the modified modulus method and the modulus-based Gauss–Seidel method.

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Acknowledgements

The authors would like to thank two anonymous referees for providing helpful suggestions, which greatly improved the paper.

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Authors and Affiliations

  1. School of Mathematics, Yunnan Normal University, Kunming, Yunnan, 650500, People’s Republic of China

    Shiliang Wu

  2. School of Mathematics and Computer Science & FJKLMAA, Fujian Normal University, Fuzhou, Fujian, 350117, People’s Republic of China

    Cuixia Li

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  1. Shiliang Wu
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  2. Cuixia Li
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Correspondence to Shiliang Wu.

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This research was supported by National Natural Science Foundation of China (No. 11961082)

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Wu, S., Li, C. A class of new modulus-based matrix splitting methods for linear complementarity problem. Optim Lett 16, 1427–1443 (2022). https://doi.org/10.1007/s11590-021-01781-6

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