Téléchargez le livre : Attraction in Numerical Minimization

Attraction in Numerical Minimization

Iteration Mappings, Attractors, and Basins of Attraction de

Éditeur :

Springer


Collection :

SpringerBriefs in Optimization

Paru le : 2018-12-07

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Description


Numerical minimization of an objective function is analyzed in this book to understand solution algorithms for optimization problems. Multiset-mappings are introduced to engineer numerical minimization as a repeated application of an iteration mapping. Ideas from numerical variational analysis are extended to define and explore notions of continuity and differentiability of multiset-mappings, and prove a fixed-point theorem for iteration mappings. Concepts from dynamical systems are utilized to develop notions of basin size and basin entropy.  Simulations to estimate basins of attraction, to measure and classify basin size, and to compute basin are included to shed new light on convergence behavior in numerical minimization.
Graduate students, researchers, and practitioners in optimization and mathematics who work theoretically to develop solution algorithms will find this book a useful resource.
Pages
78 pages
Collection
SpringerBriefs in Optimization
Parution
2018-12-07
Marque
Springer
EAN papier
9783030040482
EAN PDF
9783030040499
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
7
Taille du fichier
14807 Ko
Prix
52,74 €
EAN EPUB
9783030040499
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
7
Taille du fichier
44616 Ko
Prix
52,74 €

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