Journal of Applied Mathematics
Volume 2012 (2012), Article ID 569795, 10 pages
http://dx.doi.org/10.1155/2012/569795
Research Article

A Mixed Spectral CD-DY Conjugate Gradient Method

Liu Jinkui,1 Du Xianglin,1 and Wang Kairong2

1School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404100, China
2College of Mathematics and Physics, Chongqing University, Chongqing 401331, China

Received 14 November 2011; Revised 22 January 2012; Accepted 23 January 2012

Academic Editor: Shan Zhao

Copyright © 2012 Liu Jinkui et al. 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.

Abstract

A mixed spectral CD-DY conjugate descent method for solving unconstrained optimization problems is proposed, which combines the advantages of the spectral conjugate gradient method, the CD method, and the DY method. Under the Wolfe line search, the proposed method can generate a descent direction in each iteration, and the global convergence property can be also guaranteed. Numerical results show that the new method is efficient and stationary compared to the CD (Fletcher 1987) method, the DY (Dai and Yuan 1999) method, and the SFR (Du and Chen 2008) method; so it can be widely used in scientific computation.