Introduction to Global Optimization Exploiting Space-Filling Curves

種類:

電子ブック

責任表示:

by Yaroslav D. Sergeyev, Roman G. Strongin, Daniela Lera

出版情報:

New York, NY : Springer New York : Imprint: Springer, 2013

著者名:

• Sergeyev, Yaroslav D.
• Strongin, Roman G.
• Lera, Daniela
• SpringerLink (Online service)

シリーズ名:

SpringerBriefs in Optimization ;

ISBN:

9781461480426 [1461480426]    

注記:

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 computations can be organized. Professors, st

ローカル注記:

学内専用E-BOOKS (local access only)