Titlebook: Introduction to Global Optimization Exploiting Space-Filling Curves; Yaroslav D. Sergeyev,Roman G. Strongin,Daniela Ler Book 2013 Yaroslav

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2190-8354 new methods.Contains a code for implementing space-filling .Introduction to Global Optimization Exploiting Space-Filling Curves. provides an overview of classical and new results pertaining to the usage of space-filling curves in global optimization.  The authors look at a family of derivative-free

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Introduction to Global Optimization Exploiting Space-Filling Curves978-1-4614-8042-6Series ISSN 2190-8354 Series E-ISSN 2191-575X

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Global Optimization Algorithms Using Curves to Reduce Dimensionality of the Problem, us recollect briefly some of the achievements we have got by now. To deal with the multidimensional global optimization problems we would like to develop algorithms that use numerical approximations of space-filling curves to reduce the original Lipschitz multidimensional problem to a univariate one satisfying the Hölder condition.

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A Brief Conclusion,timization problem, i.e., global minimization of a multiextremal, non-differentiable Lipschitz function over a hyperinterval with a special emphasis on Peano curves, strategies for adaptive estimation of Lipschitz information, and acceleration of the search.

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