Euclidean distance cone faces

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Revision as of 11:51, 11 November 2009 (edit) 202.99.29.27 (Talk) (RrDVOQPSJeliqIpkC) ← Previous diff		Revision as of 16:42, 11 November 2009 (edit) (undo) Ranjelin (Talk | contribs) m (Reverted edits by 202.99.29.27 (Talk); changed back to last version by Dattorro) Next diff →
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-	Be9IGK <a href="http://kcgvsxspxfiz.com/">kcgvsxspxfiz</a>, [url=http://qpnvmnnsugnc.com/]qpnvmnnsugnc[/url], [link=http://ejdrozqrexlq.com/]ejdrozqrexlq[/link], http://zjcypltghuqw.com/	+	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 dimension of the cone''')'''
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		+	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 Cone of Distance Matrices].
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		+	Definition of ''exposure'' is in [http://meboo.convexoptimization.com/BOOK/convexgeometry.pdf Convex Geometry].
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		+	Basically, the question asks whether all faces of <math>\,\mathbb{EDM}^N\!</math> can be defined by intersection with a supporting hyperplane; that intersection is termed ''exposure.''

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Revision as of 16:42, 11 November 2009

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.

Definition of exposure is in Convex Geometry.

Basically, the question asks whether all faces of can be defined by intersection with a supporting hyperplane; that intersection is termed exposure.