Minisum Circle Problem with Unequal Norms

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

Chapter Chapter 4 in Minisum Hyperspheres, 2011, pp 59-75 from Springer

Abstract: Abstract In this chapter a generalization of the minisum hypersphere problem is considered. A norm k is used to measure distances between a hypersphere in a two-dimensional real Banach space and a set of fixed points. In contrast to the classical minisum hypersphere problem the norm k may differ from the underlying norm of the space. Properties of this generalization are discussed and compared with properties of the classical version of the problem. For polyhedral norms, a finite dominating set is identified which gives rise to a solution approach.

Keywords: Convex Cone; Direction Line; Convex Polytopes; Supporting Plane; Dominance Criterion (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_4

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

DOI: 10.1007/978-1-4419-9807-1_4

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 ().