A Hybrid of DL and WYL Nonlinear Conjugate Gradient Methods. (25th March 2014)

• Record Type: Journal Article
• Authors: Yao, Shengwei; Qin, Bin
• Other Names: Atangana Abdon Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-03-25
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/279891
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The conjugate gradient method is an efficient method for solving large-scale nonlinear optimization problems. In this paper, we propose a nonlinear conjugate gradient method which can be considered as a hybrid of DL and WYL conjugate gradient methods. The given method possesses the sufficient descent condition under the Wolfe-Powell line search and is globally convergent for general functions. Our numerical results show that the proposed method is very robust and efficient for the test problems.