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.
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© 1995 Springer-Verlag Berlin Heidelberg
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Kulisch, U., Hammer, R., Hocks, M., Ratz, D. (1995). Global Optimization. In: C++ Toolbox for Verified Computing I. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79651-7_14
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DOI: https://doi.org/10.1007/978-3-642-79651-7_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-79653-1
Online ISBN: 978-3-642-79651-7
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