Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634527 | Applied Mathematics and Computation | 2007 | 10 Pages |
Abstract
In this paper, we modify the concept of cut-peak function given in Wang et al. [Y. Wang, W. Fang, T. Wu, A deterministic algorithm of global optimization using cut-peak functions, Technique Report, in: The Conference of Mathematical Programming of China, 2006], and then propose a revised cut-peak function algorithm for solving box constrained continuous optimization problems. The smoothing technique is used to overcome the difficulty arising from the non-smoothness of the constructed function. By using the exterior penalty function method we find iteratively a better minimizer from the current local minimizer till a global minimizer of the concerned problem is found. Some preliminary numerical results are reported.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zheng-Hai Huang, Xin-He Miao, Ping Wang,