Introduction to Global Optimization Exploiting Space-Filling Curves

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...

Popoln opis

Shranjeno v:
Bibliografske podrobnosti
Auteurs principaux: Sergeyev, Yaroslav D., 1963-, Strongin, Roman G. (Auteur), Lera, Daniela (Auteur)
Format: Livre numérique
Jezik:Anglais
Izdano: New York, NY : Springer New York [20..].
Cham : Springer Nature
Izdaja:1st ed. 2013.
Serija:SpringerBriefs in Optimization
Online dostop:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Sporočilo: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Introduction to Global Optimization Exploiting Space-Filling Curves, Texte imprimé, 9781461480419
• Introduction to Global Optimization Exploiting Space-Filling Curves, Texte imprimé, 9781461480433
Opis
Izvleček: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, students, researchers, engineers, and other professionals in the fields of pure mathematics, nonlinear sciences studying fractals, operations research, management science, industrial and applied mathematics, computer science, engineering, economics, and the environmental sciences will find this title useful .  
Opis knjige/članka:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9781461480426
ISSN:2191-575X
Dostop:Accès en ligne pour les établissements français bénéficiaires des licences nationales
Accès soumis à abonnement pour tout autre établissement
Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017