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Faces of the cone of Euclidean distance matrices: Characterizations, structure and induced geometry

โœ Scribed by Pablo Tarazaga

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
216 KB
Volume
408
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

In this paper we obtain new characterizations of the faces of the cone of Euclidean distance matrices. In one case the characterization is based on a special subspace associated with each distance matrix, in other case on linear restrictions of coordinate matrices. We also relate the faces to the supporting hyperplanes of the cone, and we show how the supporting hyperplanes induce certain geometry on the configurations that belong to that face.

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