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Minisum Hyperspheres
This volume presents a self-contained introduction to the theory of minisum hyperspheres. The minisum hypersphere problem is a generalization of the famous Fermat-Torricelli problem. The problem asks for a hypersphere minimizing the weighted sum of distances to a given point set. In the general fram...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Collectivité auteur: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
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New York, NY :
Springer New York : Imprint: Springer,
2011.
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| Édition: | 1st ed. 2011. |
| Collection: | Springer Optimization and Its Applications,
51 |
| Sujets: | |
| Accès en ligne: | Texto Completo |
Table des matières:
- -Preface
- 1. Basic Concepts (Circles and Hyperspheres, Minisum Hyperspheres, Mathematical Preliminaries, Finite Dominating Sets)
- 2. Euclidean Minisum Hyperspheres (Basic Assumptions, Distance, Degenerated Solutions, Existence of Optimal Solutions, Incidence Properties, Solution Approaches for the Planar Case, Concluding Remarks)
- 3. Minisum Hyperspheres in Normed Spaces (Basic Assumptions, Distance, Degenerated Solutions, Existence of Minisum Hyperspheres, Incidence Properties, Polyhedral Norms in the Plane, Concluding Remarks)
- 4. Minisum Circle Problem with Unequal Norms (Basic Assumptions, Distance, Properties of Minisum Circles, Polyhedral Norms, Concluding Remarks)
- 5. Minisum Rectangles in a Manhattan Plane (Basic Assumptions, Notations, Point-Rectangle Distance, Restricted Problems, Unrestricted Problem, Concluding Remarks)
- 6. Extensions.- Bibliiography.- Index.