Open Access
2014 A New Method with Sufficient Descent Property for Unconstrained Optimization
Weiyi Qian, Haijuan Cui
Abstr. Appl. Anal. 2014(SI49): 1-7 (2014). DOI: 10.1155/2014/940120


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.


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Weiyi Qian. Haijuan Cui. "A New Method with Sufficient Descent Property for Unconstrained Optimization." Abstr. Appl. Anal. 2014 (SI49) 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07023356
MathSciNet: MR3170417
Digital Object Identifier: 10.1155/2014/940120

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI49 • 2014
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