A class of matrix splitting-based fixed-point iteration method for the vertical nonlinear complementarity problemA class of matrix...Y. Wang, X. Mu

被引：0

作者：

Yapeng Wang ^{[1
]}

Xuewen Mu ^{[1
]}

机构：

[1] Xidian University,School of Mathematics and Statistics

来源：

Computational and Applied Mathematics | 2025年 / 44卷 / 5期

关键词：

Vertical nonlinear complementarity problem; Fixed point iteration; Convergence; 65H10; 65L20; 90C05; 90C30;

D O I：

10.1007/s40314-025-03212-z

中图分类号：

学科分类号：

摘要：

In this paper, we propose a class of matrix splitting-based fixed-point iteration (FPI) methods for solving the vertical nonlinear complementarity problem (VNCP). Under appropriate conditions, we present two convergence results obtained using different techniques and estimate the number of iterations required for the FPI method. Additionally, through numerical experiments, we demonstrated that the FPI method surpasses other methods in computational efficiency.

引用