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Journal of Applied Mathematics
Volume 2015, Article ID 245427, 8 pages
Research Article

A Filled Function Method Dominated by Filter for Nonlinearly Global Optimization

1Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China
2Shangnan Middle School, South Campus, Shanghai 200123, China

Received 18 August 2014; Revised 30 December 2014; Accepted 8 January 2015

Academic Editor: George Fikioris

Copyright © 2015 Wei Wang 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.


This work presents a filled function method based on the filter technique for global optimization. Filled function method is one of the effective methods for nonlinear global optimization, since it can effectively find a better minimizer. Filter technique is applied to local optimization methods for its excellent numerical results. In order to optimize the filled function method, the filter method is employed for global optimizations in this method. A new filled function is proposed first, and then the algorithm and its properties are proved. The numerical results are listed at the end.