A Modified Conjugacy Condition and Related Nonlinear Conjugate Gradient Method. (18th March 2014)

• Record Type: Journal Article
• Authors: Yao, Shengwei; Lu, Xiwen; Qin, Bin
• Other Names: Chen Jein-Shan Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-03-18
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/710376
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The conjugate gradient (CG) method has played a special role in solving large-scale nonlinear optimization problems due to the simplicity of their very low memory requirements. In this paper, we propose a new conjugacy condition which is similar to Dai-Liao (2001). Based on this condition, the related nonlinear conjugate gradient method is given. With some mild conditions, the given method is globally convergent under the strong Wolfe-Powell line search for general functions. The numerical experiments show that the proposed method is very robust and efficient.