Del 51 - Springer Optimization and Its Applications

Minisum Hyperspheres

Inbunden, Engelska, 2011

Av Mark-Christoph Körner

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This book presents a self-contained introduction to the theory of minisum hyperspheres. This specialized research area within the larger field of geometric optimization is full of interesting and open problems.This work provides an overview of the history of minisum hyperspheres as well as describes the best techniques for developing and solving minisum hypersphere problems. Various related areas of geometric and nonlinear optimization are also discussed.As the first publication devoted to this area of research, this work will be of great interest to graduate-level researchers studying minisum hypersphere problems as well as mathematicians interested geometric optimization.

Produktinformation

Utgivningsdatum2011-06-29
Mått155 x 235 x 12 mm
Vikt360 g
FormatInbunden
SpråkEngelska
SerieSpringer Optimization and Its Applications
Antal sidor116
Upplaga2011
FörlagSpringer-Verlag New York Inc.
ISBN9781441998064

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik
Optimering inom Naturvetenskap och teknik

-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.