## a b s t r a c t In this paper, we transform an unconstrained system of nonlinear equations into a special optimization problem. A new filled function is constructed by employing the special properties of the transformed optimization problem. Theoretical and numerical properties of the proposed
A new filled function method for unconstrained global optimization
โ Scribed by Chengjun Wang; Yongjian Yang; Jing Li
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 585 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
In this paper, a new filled function which has better properties is proposed for identifying a global minimum point for a general class of nonlinear programming problems within a closed bounded domain. An algorithm for unconstrained global optimization is developed from the new filled function. Theoretical and numerical properties of the proposed filled function are investigated. The implementation of the algorithm on seven test problems is reported with satisfactory numerical results.
๐ SIMILAR VOLUMES
The filled function method is an effective approach to find a global minimizer. In this paper, based on a new definition of the filled function for nonsmooth constrained programming problems, a one-parameter filled function is constructed to improve the efficiency of numerical computation. Then a co
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