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Minisum Hyperspheres

  • Book
  • © 2011

Overview

Authors:
  1. Mark-Christoph Körner

    1. , Institut für Numerische und Angewandte M, Universität Göttingen, Göttingen, Germany

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  • The first book dedicated to the topic of minisum hyperspheres
  • Provides a self-contained introduction to the topic
  • Includes an overview of the theory as well problem-solving strategies
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 51)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-viii
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  2. Basic Concepts

    • Mark-Christoph Körner
    Pages 1-21

  3. Euclidean Minisum Hyperspheres

    • Mark-Christoph Körner
    Pages 23-36

  4. Minisum Hyperspheres in Normed Spaces

    • Mark-Christoph Körner
    Pages 37-57

  5. Minisum Circle Problem with Unequal Norms

    • Mark-Christoph Körner
    Pages 59-75

  6. Minisum Rectangles in a Manhattan Plane

    • Mark-Christoph Körner
    Pages 77-102

  7. Extensions

    • Mark-Christoph Körner
    Pages 103-108

  8. Back Matter

    Pages 109-116
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Keywords

About this book

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.

Reviews

From the reviews:

“This little book is fully devoted to what is known about the following median hypersphere problem and several of its variants … . This book will be of interest to any researcher interested in continuous location theory and/or distance geometry.” (Frank Plastria, Mathematical Reviews, Issue 2012 f)

Authors and Affiliations

  • , Institut für Numerische und Angewandte M, Universität Göttingen, Göttingen, Germany

    Mark-Christoph Körner

Bibliographic Information

  • Book Title: Minisum Hyperspheres

  • Authors: Mark-Christoph Körner

  • Series Title: Springer Optimization and Its Applications

  • DOI: https://doi.org/10.1007/978-1-4419-9807-1

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media, LLC 2011

  • Hardcover ISBN: 978-1-4419-9806-4Published: 29 June 2011

  • Softcover ISBN: 978-1-4614-2918-0Published: 01 August 2013

  • eBook ISBN: 978-1-4419-9807-1Published: 24 June 2011

  • Series ISSN: 1931-6828

  • Series E-ISSN: 1931-6836

  • Edition Number: 1

  • Number of Pages: VIII, 116

  • Topics: Geometry, Optimization

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