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Research Article | Open Access

A two-step iteration method for solving vertical nonlinear complementarity problems

Wenxiu Guo1,2, Xiaoping Lu1( ), Hua Zheng2
School of Computer Science and Engineering, Macau University of Science and Technology, Macao, China
School of Mathematics and Statistics, Shaoguan University, Shaoguan, China
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Abstract

In this paper, for vertical nonlinear complementarity problems, a two-step modulus-based matrix splitting iteration method is established by applying the two-step splitting technique to the modulus-based matrix splitting iteration method. The convergence theorems of the proposed method are given when the number of system matrices is larger than 2. Numerical results show that the convergence rate of the proposed method can be accelerated compared to the existing modulus-based matrix splitting iteration method.

Keywords

vertical nonlinear complementarity problemtwo-stepmodulus-based methodH-splitting
CLC number: 65F10, 90C33

References

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AIMS Mathematics
Volume 9 Issue 6,
May 2024
Pages 14358-14375
DOI: 10.3934/math.2024698

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Cite this article:
Guo W, Lu X, Zheng H. A two-step iteration method for solving vertical nonlinear complementarity problems. AIMS Mathematics, 2024, 9(6): 14358-14375. https://doi.org/10.3934/math.2024698

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Received: 21 February 2024
Revised: 06 April 2024
Accepted: 17 April 2024
Published: 19 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)