A modified Broyden-like quasi-Newton method for nonlinear equations

被引：12
|
作者：
Zhou, Weijun [1 ]
Zhang, Li [2 ]
机构：
[1] Changsha Univ Sci & Technol, Dept Math & Stat, Changsha 410114, Peoples R China
[2] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 372卷
基金：
中国国家自然科学基金;
关键词：
Nonlinear equations; Broyden-like method; Line search; Convergence; LEVENBERG-MARQUARDT METHOD; GLOBAL CONVERGENCE; RESIDUAL METHOD; OPTIMIZATION;
D O I：
10.1016/j.cam.2020.112744
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a modified Broyden-like quasi-Newton method for solving nonlinear equations, which is an acceleration version of the Broyden-like method presented by Li and Fukushima (2000). We show that the proposed method has global and superlinear convergence properties. We report some numerical results to show its efficiency. (C) 2020 Elsevier B.V. All rights reserved.
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页数：10
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