Basic Concepts

Mark-Christoph Körner ()
Additional contact information
Mark-Christoph Körner: Georg-August-Universität Göttingen

Chapter Chapter 1 in Minisum Hyperspheres, 2011, pp 1-21 from Springer

Abstract: Abstract This chapter provides the reader with an introduction to the minisum hypersphere problem and the mathematical preliminaries required in this book. Related problems as well as assorted applications of the minisum hypersphere problem are presented. A main topic of this chapter is a review of norms in finite dimensional real Banach spaces. Moreover, the concept of a finite dominating set is introduced which is the basis for several results presented in the book.

Keywords: Unit Ball; Real Banach Space; Weber Problem; Arbitrary Norm; Fundamental Direction (search for similar items in EconPapers)
Date: 2011
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-9807-1_1

Ordering information: This item can be ordered from
http://www.springer.com/9781441998071

DOI: 10.1007/978-1-4419-9807-1_1

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().