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

-15% su kodu: ENG15
71,98 
Įprasta kaina: 84,68 
-15% su kodu: ENG15
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Akcija baigiasi: 2025-03-03
-15% su kodu: ENG15
71,98 
Įprasta kaina: 84,68 
-15% su kodu: ENG15
Kupono kodas: ENG15
Akcija baigiasi: 2025-03-03
-15% su kodu: ENG15
2025-02-28 84.6800 InStock
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Knygos aprašymas

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.

Informacija

Autorius: Adam B. Levy
Serija: SpringerBriefs in Optimization
Leidėjas: Springer Nature Switzerland
Išleidimo metai: 2018
Knygos puslapių skaičius: 92
ISBN-10: 3030040488
ISBN-13: 9783030040482
Formatas: 235 x 155 x 6 mm. Knyga minkštu viršeliu
Kalba: Anglų

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