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Global Optimization Using Hyperbolic Cross Points

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State of the Art in Global Optimization

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 7))

Abstract

We propose a new numerical method for finding the global minimum of a real-valued function defined on a d-dimensional box. Our method is based only on function values at the hyperbolic cross points and uses an adaptive order of these points. We motivate our method by complexity results and also give numerical examples.

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© 1996 Kluwer Academic Publishers

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Novak, E., Ritter, K. (1996). Global Optimization Using Hyperbolic Cross Points. In: Floudas, C.A., Pardalos, P.M. (eds) State of the Art in Global Optimization. Nonconvex Optimization and Its Applications, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3437-8_2

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  • DOI: https://doi.org/10.1007/978-1-4613-3437-8_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3439-2

  • Online ISBN: 978-1-4613-3437-8

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