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Attraction in Numerical Minimization
- Iteration Mappings, Attractors, and Basins of Attraction
Engelsk
Bogcover for Attraction in Numerical Minimization af Adam B. Levy, 9783030040482
Specifikationer
Sprog:
Engelsk
Sider:
78
ISBN-13:
9783030040482
Indbinding:
Paperback
ISBN-10:
3030040488
Udg. Dato:
19 dec 2018
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
19 dec 2018
Forfatter(e):

Attraction in Numerical Minimization

- Iteration Mappings, Attractors, and Basins of Attraction
Engelsk
Paperback 2018
Format:

Bog beskrivelse
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.
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Specifikationer
Sprog:
Engelsk
Sider:
78
ISBN-13:
9783030040482
Indbinding:
Paperback
ISBN-10:
3030040488
Udg. Dato:
19 dec 2018
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
19 dec 2018
Forfatter(e):
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