Improvement of Convergence of One- and Two-Step MSM Iteration Methods for Nondifferentiable Nonlinear Complementarity Problems

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  • 1 School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, Gansu, China;
    2 School of Mathematics and Statistics, Qinghai Normal University, Xining 810008, Qinghai, China

Received date: 2023-09-08

  Revised date: 2024-01-29

  Accepted date: 2024-02-02

  Online published: 2025-04-21

Abstract

Our goal is to improve the convergence theory of the one-step modulus-based synchronous multisplitting (MSM) and the two-step modulus-based synchronous multisplitting (TMSM) iteration methods for a class of nondifferentiable nonlinear complementarity problems (NCPs) with H+-matrices. The analysis is developed and the results are renewed under some conditions weakened than before.

Cite this article

Gui-Lin Yan, Yu-Jiang Wu, Bo Deng . Improvement of Convergence of One- and Two-Step MSM Iteration Methods for Nondifferentiable Nonlinear Complementarity Problems[J]. Communications on Applied Mathematics and Computation, 2025 , 7(2) : 733 -758 . DOI: 10.1007/s42967-024-00378-x

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