Question

Show that Polar of a set is convex

score 1.6k · Answer 1 · 2017-02-14 17:30:48

1.6k

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Show that Polar of a set is convex

Published on 14 Feb 2017 - 17:30

score 983 · Answer 2 · 2026-03-25 04:57:30

983

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Finding dual cone of general cones

Published on 25 Mar 2026 - 4:57

score 31 · Answer 3 · 2017-02-18 18:28:39

31

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Does a closed conic function always give positive value?

Published on 18 Feb 2017 - 18:28

score 1.7k · Answer 4 · 2017-02-23 22:12:43

1.7k

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How to proof the intersection of two closed convex cones is a closed convex cone?

Published on 23 Feb 2017 - 22:12

score 735 · Answer 5 · 2017-02-23 23:37:04

735

Views

The addition of two dual closed convex cones is a closed convex cone.

Published on 23 Feb 2017 - 23:37

score 241 · Answer 6 · 2017-03-05 23:28:35

241

Views

Proving a Property of Convex Cones

Published on 05 Mar 2017 - 23:28

score 228 · Answer 7 · 2017-03-12 11:54:09

228

Views

Is the union of the complement set of a cone set and the origin also be a cone set?

Published on 12 Mar 2017 - 11:54

score 170 · Answer 8 · 2017-03-12 15:28:57

170

Views

Rectangle Needed To Make Cone

Published on 12 Mar 2017 - 15:28

score 25 · Answer 9 · 2017-04-07 13:54:48

25

Views

face properties of decomposable cones

Published on 07 Apr 2017 - 13:54

score 29 · Answer 10 · 2023-02-12 00:52:35

29

Views

Show that $S^{\star} + C$ is a finitely generated cone whose generators span $\mathbb{R}^m$

Published on 12 Feb 2023 - 0:52

score 127 · Answer 11 · 2023-03-21 02:29:24

127

Views

Does every pointed polyhedral cone in $\mathbb{R}^n$ generated by its $n+1$ extreme rays contain two extreme ray vectors whose sum is in the interior?

Published on 21 Mar 2023 - 2:29

score 30 · Answer 12 · 2023-03-23 12:55:31

30

Views

If ${\rm ker}T\cap C_\infty=\{0\}$, prove that $T(C_\infty)=T(C)_\infty$

Published on 23 Mar 2023 - 12:55

score 109 · Answer 13 · 2023-04-23 14:28:37

109

Views

Bouligand and Clarke Tangent cones

Published on 23 Apr 2023 - 14:28

score 45 · Answer 14 · 2023-04-25 17:20:28

45

Views

How to find the tangent cone of $A = \{(x, y) \in \mathbb{R}^2: \; y = \sqrt{|x|}\}$ at the origin?

Published on 25 Apr 2023 - 17:20

score 47 · Answer 15 · 2023-05-07 18:40:31

47

Views

Equivalence of polar cone and polar set

Published on 07 May 2023 - 18:40

List Question

Show that Polar of a set is convex

Finding dual cone of general cones

Does a closed conic function always give positive value?

How to proof the intersection of two closed convex cones is a closed convex cone?

The addition of two dual closed convex cones is a closed convex cone.

Proving a Property of Convex Cones

Is the union of the complement set of a cone set and the origin also be a cone set?

Rectangle Needed To Make Cone

face properties of decomposable cones

Show that $S^{\star} + C$ is a finitely generated cone whose generators span $\mathbb{R}^m$

Does every pointed polyhedral cone in $\mathbb{R}^n$ generated by its $n+1$ extreme rays contain two extreme ray vectors whose sum is in the interior?

If ${\rm ker}T\cap C_\infty=\{0\}$, prove that $T(C_\infty)=T(C)_\infty$

Bouligand and Clarke Tangent cones

How to find the tangent cone of $A = \{(x, y) \in \mathbb{R}^2: \; y = \sqrt{|x|}\}$ at the origin?

Equivalence of polar cone and polar set

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