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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:372

Article

Zhou, Weijun¹  Zhang, Li² 

[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

关键词: Nonlinear equations;    Broyden-like method;    Line search;    Convergence;   

DOI  :  10.1016/j.cam.2020.112744

来源: Elsevier

【 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.

【 授权许可】

Free