A Derivative-Free Liu–Storey Method for Solving Large-Scale Nonlinear Systems of Equations. (29th October 2020)

• Record Type: Journal Article
• Authors: Su, Zhenhua; Li, Min
• Other Names: Khalique Chaudry M. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2020(2020)
• Publication Date: 2020-10-29
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2020/6854501
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In this paper, a descent Liu–Storey conjugate gradient method is extended to solve large-scale nonlinear systems of equations. Based on certain assumptions, the global convergence property is obtained with a nonmonotone line search. The proposed method is suitable to solve large-scale problems for the low-storage requirement. Numerical experiment results show that the new method is practically effective.