Mark-Christoph Körner
Springer New York
2011e druk, 2011
9781441998064
Minisum Hyperspheres
Specificaties
Gebonden, 116 blz.
|
Engels
Springer New York |
2011e druk, 2011
ISBN13: 9781441998064
Rubricering
Onderdeel van serie
Springer Optimization and Its Applications
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9781441998064
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:116
Uitgever:Springer New York
Druk:2011
Inhoudsopgave
<p>-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.</p>