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

• Main Author: Levy, Adam B. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Optimization,
• Subjects: Mathematical optimization.; Numerical analysis.; Dynamics.; Ergodic theory.; Functional analysis.; Optimization.; Numerical Analysis.; Dynamical Systems and Ergodic Theory.; Functional Analysis.

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 e...

Table of Contents:

• 1. Multisets and Multiset Mappings
• 2. Iteration Mappings
• 3. Equilibria in Dynamical Systems
• 4. Attractors
• 5. Basin Analysis Via Simulation.