# Euclidean distance cone faces

(Difference between revisions)
 Revision as of 20:21, 26 June 2008 (edit)m (Euclidean distance cone moved to Euclidean distance cone faces: This is an open question.)← Previous diff Revision as of 20:26, 26 June 2008 (edit) (undo)Next diff → Line 1: Line 1: The question remains open whether all faces of the cone of Euclidean distance matrices [itex]\,\mathbb{EDM}^N\![/itex] The question remains open whether all faces of the cone of Euclidean distance matrices [itex]\,\mathbb{EDM}^N\![/itex] + '''('''whose dimension is less than the dimension of the cone''')''' '''('''whose dimension is less than the 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]

## Revision as of 20:26, 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 the dimension of the cone)

are exposed like they are for the positive semidefinite cone.

For a better explanation, see section 6.5.3 in [1]