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

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2025-01-07 DOI:10.1016/j.cam.2025.116489

Wenxiu Guo , Jianqing Li , Yongyao Li , Xiaoping Lu , Hua Zheng

引用次数: 0

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.

查看原文本刊更多论文

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

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.