# Euclidean distance cone faces

### From Wikimization

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m (Euclidean distance cone moved to Euclidean distance cone faces: This is an open question.) |
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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 the dimension of the cone''')''' | ||

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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] |

## Revision as of 19:26, 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]