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The book delves into numerical minimization techniques for optimization problems, introducing multiset-mappings to enhance iteration mapping processes. It extends concepts from numerical variational analysis to explore continuity and differentiability of these mappings, along with proving a fixed-point theorem. By integrating ideas from dynamical systems, the text develops concepts of basin size and basin entropy. Additionally, it includes simulations for estimating basins of attraction, measuring basin size, and analyzing convergence behavior in numerical minimization.
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Attraction in Numerical Minimization, Adam B. Levy
- Language
- Released
- 2018
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- (Paperback)
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- Title
- Attraction in Numerical Minimization
- Subtitle
- Iteration Mappings, Attractors, and Basins of Attraction
- Language
- English
- Authors
- Adam B. Levy
- Publisher
- Springer International Publishing
- Released
- 2018
- Format
- Paperback
- Pages
- 92
- ISBN13
- 9783030040482
- Category
- Mathematics
- Description
- The book delves into numerical minimization techniques for optimization problems, introducing multiset-mappings to enhance iteration mapping processes. It extends concepts from numerical variational analysis to explore continuity and differentiability of these mappings, along with proving a fixed-point theorem. By integrating ideas from dynamical systems, the text develops concepts of basin size and basin entropy. Additionally, it includes simulations for estimating basins of attraction, measuring basin size, and analyzing convergence behavior in numerical minimization.