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A generalized variant of two-sweep modulus-based matrix splitting iteration method for solving horizontal linear complementarity problems

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Abstract

Based on the two-sweep modulus-based matrix splitting iteration (TMMS) method for linear complementarity problems developed by Wu and Li (Comput. Appl. Math. 302: 327–339, 2016), a new generalized variant of the TMMS (GTMMS) method is put forth for solving horizontal linear complementarity problems. By analyzing the convergence of the proposed method, we attain its convergence conditions. The results of numerical experiments not only indicate that the convergence of the proposed method is better, but also analyze and provide the relevant factors affecting the convergence.

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Funding

This work was supported by the National Natural Science Foundation of China (No. 11771193).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, People’s Republic of China

    Si-Wei Liao, Guo-Feng Zhang & Zhao-Zheng Liang

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  1. Si-Wei Liao
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  2. Guo-Feng Zhang
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  3. Zhao-Zheng Liang
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Correspondence to Guo-Feng Zhang.

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Liao, SW., Zhang, GF. & Liang, ZZ. A generalized variant of two-sweep modulus-based matrix splitting iteration method for solving horizontal linear complementarity problems. Numer Algor 90, 1279–1303 (2022). https://doi.org/10.1007/s11075-021-01230-6

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