Three-Term Hager-Zhang Projection Method for Monotone Nonlinear Equations

被引：2

作者：

Halilu, Abubakar Sani ^{[1
,2
,3
]}

Majumder, Arunava ^{[1
]}

Waziri, Mohammed Yusuf ^{[3
,4
]}

Ahmed, Kabiru ^{[3
,4
]}

Murtala, Salisu ^{[3
,5
]}

机构：

[1] Lovely Profess Univ, Sch Chem Engn & Phys Sci, Dept Math, Phagwara 144411, India

[2] Sule Lamido Univ, Dept Math, PMB 048, Kafin Hausa, Nigeria

[3] Bayero Univ, Numer Optimizat Res Grp, Kano, Nigeria

[4] Bayero Univ, Dept Math Sci, Kano, Nigeria

[5] Fed Univ, Dept Math, Dutse, Nigeria

来源：

VIETNAM JOURNAL OF MATHEMATICS | 2025年 / 53卷 / 01期

关键词：

Hager-Zhang parameter; Conjugate gradient method; Global convergence; Numerical experiment; Monotone nonlinear equations; CONJUGATE-GRADIENT METHODS; BFGS METHOD; DESCENT; CONVERGENCE; FAMILY;

D O I：

10.1007/s10013-023-00639-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a conjugate gradientmethod combined with the projection technique of Solodov and Svaiter (Kluwer Academic Publishers, pp. 355-369, 1998) to solve monotone nonlinear equations is presented. The proposed method improved the numerical performance of the Hager-Zhang (HZ) method proposed by Waziri et al. (Appl. Math. Comput. 361, 645-660, 2019), by extending its direction to three-term conjugate gradient direction. The proposed method has been shown to be globally convergent under some mild conditions. Numerical experiments showthat the proposed method is effective and produces better results than some existing methods.

引用

页码：109 / 130

页数：22

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