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Abstract and Applied Analysis
Volume 2014, Article ID 279891, 9 pages
Research Article

A Hybrid of DL and WYL Nonlinear Conjugate Gradient Methods

1School of Information and Statistics, Guangxi University of Finance and Economics, Nanning 530003, China
2School of Science, East China University of Science and Technology, Shanghai 200237, China

Received 29 November 2013; Accepted 27 January 2014; Published 25 March 2014

Academic Editor: Abdon Atangana

Copyright © 2014 Shengwei Yao and Bin Qin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.