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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 940120, 7 pages
http://dx.doi.org/10.1155/2014/940120
Research Article

A New Method with Sufficient Descent Property for Unconstrained Optimization

College of Mathematics and Physics, Bohai University, Jinzhou 121000, China

Received 14 September 2013; Revised 21 December 2013; Accepted 4 January 2014; Published 13 February 2014

Academic Editor: Adrian Petrusel

Copyright © 2014 Weiyi Qian and Haijuan Cui. 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

Recently, sufficient descent property plays an important role in the global convergence analysis of some iterative methods. In this paper, we propose a new iterative method for solving unconstrained optimization problems. This method provides a sufficient descent direction for objective function. Moreover, the global convergence of the proposed method is established under some appropriate conditions. We also report some numerical results and compare the performance of the proposed method with some existing methods. Numerical results indicate that the presented method is efficient.