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Introduction to Global Optimization Exploiting Space-Filling Curves (SpringerBriefs in Optimization) by Yaroslav D. Sergeyev, Roman G. Strongin, Daniela Lera (auth.) is a nonfiction available to read on EtoBox.

What is Introduction to Global Optimization Exploiting Space-Filling Curves (SpringerBriefs in Optimization) about?

1. Introduction -- 2. Approximations to Peano curves -- 3. Global optimization algorithms using curves to reduce dimensionality of the problem -- 4. Ideas for acceleration -- 5. A brief conclusion -- References.;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 numerical algorithms applying space-filling curves to reduce the dimensionality of the global optimization problem; along with a number of unconventional ideas, such as adaptive strategies for estimating Lipschitz constant, balancing global and local information to accelerate the search. Convergence conditions of the described algorithms are studied in depth and theoretical considerations are illustrated through numerical examples. This work also contains a code for implementing space-filling curves that can be used for constructing new global optimization algorithms. Basic ideas from this text can be applied to a number of problems including problems with multiextremal and partially defined constraints and non-redundant parallel computatio

Who reads Introduction to Global Optimization Exploiting Space-Filling Curves (SpringerBriefs in Optimization)?

Author

Yaroslav D. Sergeyev, Roman G. Strongin, Daniela Lera (auth.)

Publisher

Springer, Springer-Verlag New York

Published

2013

Language

EN

ISBN

9781461480419

Category

nonfiction

Subjects

Mathematics, Science, Stem