Euclidean distance cone faces
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The question remains open whether all faces of the cone of Euclidean distance matrices <math>\,\mathbb{EDM}^N\!</math> | The question remains open whether all faces of the cone of Euclidean distance matrices <math>\,\mathbb{EDM}^N\!</math> | ||
| - | '''('''whose dimension is less than | + | '''('''whose dimension is less than dimension of the cone''')''' |
are exposed like they are for the positive semidefinite cone. | are exposed like they are for the positive semidefinite cone. | ||
| - | For a better explanation, see section 6.5.3 in [http://meboo.convexoptimization.com/BOOK/ConeDistanceMatrices.pdf] | + | For a better explanation, see section 6.5.3 in [http://meboo.convexoptimization.com/BOOK/ConeDistanceMatrices.pdf Cone of Distance Matrices] |
Revision as of 20:32, 26 June 2008
The question remains open whether all faces of the cone of Euclidean distance matrices
(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