1993 | OriginalPaper | Buchkapitel
Global Optimization
verfasst von : Prof.Dr. Ulrich Kulisch, Dr. Rolf Hammer, Dr. Dietmar Ratz, Dipl-Math. oec. Matthias Hocks
Erschienen in: Numerical Toolbox for Verified Computing I
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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In Chapter 7, we considered the problem of finding the global minimizers of one-dimensional nonlinear functions. Now, we consider its generalization, the problem of finding the global minimizers of multi-dimensional nonlinear functions. Our algorithm is based on the method of Hansen [26]. The algorithm computes enclosures for all global minimizers and for the global minimum value of a twice continuously differentiate function in the interior of a given interval vector.