Attraction in Numerical Minimization

Iteration Mappings, Attractors, and Basins of Attraction

By: Adam B. Levy

Write A Review

Paperback | 19 December 2018

At a Glance

Paperback
92 Pages

Dimensions(cm)
23.5 x 15.5 x 1.27

Paperback

$84.99

or 4 interest-free payments of $21.25 with

or

Ships in 5 to 7 business days

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.

Industry Reviews

"This book is aimed at researchers and practitioners working in the area of numerical minimization." (Olga Brezhneva, Mathematical Reviews, January, 2020)

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.