A class of matrix splitting-based fixed-point iteration method for the vertical nonlinear complementarity problem

Fuente: arXiv
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Autori principali: Yapeng, Wang, Xuewen, Mu
Natura: Preprint
Pubblicazione: 2025
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author Yapeng, Wang
Xuewen, Mu
author_facet Yapeng, Wang
Xuewen, Mu
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_07873
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A class of matrix splitting-based fixed-point iteration method for the vertical nonlinear complementarity problem
Yapeng, Wang
Xuewen, Mu
Optimization and Control
65H10 65L20 90C05 90C30
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.
title A class of matrix splitting-based fixed-point iteration method for the vertical nonlinear complementarity problem
topic Optimization and Control
65H10 65L20 90C05 90C30
url https://arxiv.org/abs/2501.07873