Attraction in Numerical Minimization: Iteration Mappings, Attractors, and Basins of Attraction (SpringerBriefs in Optimization) - Softcover

Buch 32 von 43: SpringerBriefs in Optimization

Levy, Adam B.

 
9783030040482: Attraction in Numerical Minimization: Iteration Mappings, Attractors, and Basins of Attraction (SpringerBriefs in Optimization)
Softcover
ISBN 10: 3030040488 ISBN 13: 9783030040482
Verlag: Springer, 2018

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2018
Sprache
Englisch
ISBN 10 
3030040488
ISBN 13 
9783030040482
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
92
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Darmstadt
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Deutschland

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9783030040505: Attraction in Numerical Minimization: Iteration Mappings, Attractors, and Basins of Attraction

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Softcover