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An Improved Convergence Condition of the MMS Iteration Method for Horizontal LCP of H + -Matrices

Author

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  • Cuixia Li

    (School of Mathematics, Yunnan Normal University, Kunming 650500, China)

  • Shiliang Wu

    (School of Mathematics, Yunnan Normal University, Kunming 650500, China)

Abstract

In this paper, inspired by the previous work in (Appl. Math. Comput., 369 (2020) 124890), we focus on the convergence condition of the modulus-based matrix splitting (MMS) iteration method for solving the horizontal linear complementarity problem (HLCP) with H + -matrices. An improved convergence condition of the MMS iteration method is given to improve the range of its applications, in a way which is better than that in the above published article.

Suggested Citation

  • Cuixia Li & Shiliang Wu, 2023. "An Improved Convergence Condition of the MMS Iteration Method for Horizontal LCP of H + -Matrices," Mathematics, MDPI, vol. 11(8), pages 1-6, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1842-:d:1122189
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    References listed on IDEAS

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    1. 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).
    2. Yinyu Ye, 1993. "A Fully Polynomial-Time Approximation Algorithm for Computing a Stationary Point of the General Linear Complementarity Problem," Mathematics of Operations Research, INFORMS, vol. 18(2), pages 334-345, May.
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