Euclidean distance cone faces
From Wikimization
(Difference between revisions)
m (Euclidean distance cone moved to Euclidean distance cone faces: This is an open question.) |
|||
| Line 1: | Line 1: | ||
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 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
(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]