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>
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'''('''whose dimension is less than the dimension of the cone''')'''
+
'''('''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.
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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 19:32, 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

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