Revision as of 13:44, 20 December 2023 edit Erel Segal (talk \| contribs) Extended confirmed users, IP block exemptions 14,576 edits No edit summary Tags: Reverted Visual edit ← Previous edit		Revision as of 22:12, 21 December 2023 edit undo Zfeinst (talk \| contribs) Extended confirmed users 2,722 edits Undid revision 1190896444 by Erel Segal (talk) These properties are already written in the prior section in the list Tag: Undo Next edit →
Line 42: If ''C'' is a cone and the closure of ''C'' is pointed, then ''C{{sup\|}}'' has nonempty interior. ''C{{sup\|}}'' is the closure of the smallest convex cone containing ''C'' (a consequence of the [[hyperplane separation theorem]]) ~~== Properties ==~~ If C is a convex cone and C is its dual cone, then:<ref name=":0">{{Cite book \|last=Arkadi Nemirovsky \|url=https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=8c3cb6395a35cb504019f87f447d65cb6cf1cdf0 \|title=Interior point polynomial-time methods in convex programming \|year=2004}}</ref> * C* is a closed convex cone. * C** equals C. * C is [[Pointed cone\|pointed]] iff C* has a nonempty interior, and C has a nonempty interior iff C* is pointed. == Self-dual cones ==

Dual cone and polar cone: Difference between revisions