A THREE-TERM SUBSPACE PROJECTION METHOD FOR SOLVING SYSTEMS OF NONLINEAR MONOTONE EQUATIONS

被引：0

作者：

Zhao, Yong ^{[1
]}

Niu, Mengjiao ^{[1
]}

Liu, Jinkui ^{[2
]}

机构：

[1] Henan Polytech Univ, Sch Mech & Power Engn, Jiaozuo, Henan, Peoples R China

[2] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing, Peoples R China

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2025年 / 21卷 / 03期

关键词：

Nonlinear equations; conjugate gradient method; projection technique; global convergence; CONJUGATE-GRADIENT METHOD; VARIATIONAL INEQUALITY; ALGORITHM; RECONSTRUCTION; CONVERGENCE;

D O I：

10.3934/jimo.2024156

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a three-term derivative-free projection algorithm for solving nonlinear monotone equations is proposed. This algorithm is established by minimizing a quadratic approximation of the objective function in a subspace and combining with the hyperplane projection technique. Under some proper conditions, the global convergence of the algorithm is proved. Numerical results show that the performance of this algorithm is better than some existing algorithms.

引用

页码：1931 / 1945

页数：15

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