Global Optimization

Ulrich Kulisch, Rolf Hammer, Matthias Hocks and Dietmar Ratz
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Ulrich Kulisch: Universität Karlsruhe, Institut für Angewandte Mathematik
Rolf Hammer: Universität Karlsruhe, Institut für Angewandte Mathematik
Matthias Hocks: Universität Karlsruhe, Institut für Angewandte Mathematik
Dietmar Ratz: Universität Karlsruhe, Institut für Angewandte Mathematik

Chapter Chapter 14 in C++ Toolbox for Verified Computing I, 1995, pp 312-342 from Springer

Abstract: Abstract 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 [29]. The algorithm computes enclosures for all global minimizers and for the global minimum value of a twice continuously differentiable function in the interior of a given interval vector.

Keywords: Global Optimization; Interval Arithmetic; Newton Step; Interval Vector; Interval Matrix (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-79651-7_14

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DOI: 10.1007/978-3-642-79651-7_14

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