Reducing transformation and global optimization (Q434589)
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scientific article; zbMATH DE number 6056789
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reducing transformation and global optimization |
scientific article; zbMATH DE number 6056789 |
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Reducing transformation and global optimization (English)
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16 July 2012
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global optimization
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constrained optimization
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reducing transformation
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Piyavskii's algorithm
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dimension reduction
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alienor method
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numerical experiments
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The alienor method of dimension reduction has been essentially developed for solving global optimization problems of coercive functions without constraints or of functions verifying other conditions and with fairly simple constraints. This method is based on the generation of a specific curve in the feasible set which allows to transform the optimization problem in a hyper-rectangle of a Euclidean space into an optimization in a compact interval of the real line. The authors give new results on the alienor method of dimension reduction considering a more general case.NEWLINENEWLINESome results of the paper are tested for accuracy through numerical experiments. The results of the paper will help to solve global optimization problems arising in industry applications.
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