Euclidean distance cone faces

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are exposed like they are for the positive semidefinite cone.
are exposed like they are for the positive semidefinite cone.
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For a better explanation, see section 6.5.3 in [http://meboo.convexoptimization.com/BOOK/ConeDistanceMatrices.pdf Cone of Distance Matrices]
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For a better explanation, see section 6.5.3 in [http://meboo.convexoptimization.com/BOOK/ConeDistanceMatrices.pdf Cone of Distance Matrices].
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Definition of ''exposure'' is in [http://meboo.convexoptimization.com/BOOK/convexgeometry.pdf Convex Geometry].

Revision as of 19:36, 26 June 2008

The question remains open whether all faces of the cone of Euclidean distance matrices LaTeX: \,\mathbb{EDM}^N\!

(whose dimension is less than dimension of the cone)

are exposed like they are for the positive semidefinite cone.

For a better explanation, see section 6.5.3 in Cone of Distance Matrices.

Definition of exposure is in Convex Geometry.

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