A modulus-based inner–outer iteration method for nonlinear complementarity problems

IF 2.6 2区 数学 Q1 MATHEMATICS, APPLIED Journal of Computational and Applied Mathematics Pub Date : 2025-08-01 Epub Date: 2025-01-07 DOI:10.1016/j.cam.2025.116489
Wenxiu Guo , Jianqing Li , Yongyao Li , Xiaoping Lu , Hua Zheng
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Abstract

In this work, a modulus-based inner–outer iteration method for solving a class of large sparse nonlinear complementarity problems with weak nonlinearity is constructed. The convergence of the proposed method is analyzed when the system matrix is assumed to be an H+-matrix. Some numerical examples are presented to show that the proposed method can converge faster than the existing modulus-based matrix splitting iteration method.
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非线性互补问题的一种基于模的内外迭代方法
本文构造了求解一类具有弱非线性的大型稀疏非线性互补问题的基于模的内外迭代方法。当系统矩阵为H+矩阵时,分析了该方法的收敛性。数值算例表明,该方法比现有的基于模的矩阵分裂迭代法收敛速度快。
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来源期刊
CiteScore
5.40
自引率
4.20%
发文量
437
审稿时长
3.0 months
期刊介绍: The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.
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