List questions from dual-cone

Published on 23 Nov 2019 - 13:34

359

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A cone in $\mathbb{R}^n$ containing n linearly independent vectors has a non empty interior

Published on 24 Nov 2019 - 11:24

361

Views

Characterizing the dual cone of the squares of skew-symmetric matrices

Published on 24 Dec 2019 - 13:12

248

Views

Given a closed, convex, full-dimensional cone $K$, how do I show that $u\in int(K) \iff u^tx>0 \quad \forall x\in K^*-\{0\}$?

Published on 04 Mar 2020 - 13:35

93

Views

For full-dimensional cone $K$, $x\in int(K)$, can you take arb. vector $y$ and for some $t$ small enough have that $x-ty\in int(K)$

Published on 07 Mar 2020 - 13:00

258

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Uniqueness of dual variable for convex optimization problem

Published on 19 Mar 2020 - 5:02

98

Views

Dual problem to SDP problem

Published on 10 May 2020 - 9:10

1.2k

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Dual polyhedron & dual cone

Published on 09 Jul 2016 - 21:50

621

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Why are generalized inequalities defined over proper cone?

Published on 15 Jul 2016 - 22:34

5.4k

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How to find the dual cone?

Published on 21 Aug 2016 - 2:25

68

Views

What mean T in formula?

Published on 07 Sep 2016 - 16:13

52

Views

Under what cases of cone $K$ is $x = \text{proj}_K(x) + \text{proj}_{-K^*}(x)$ possible for all $x$?

Published on 21 Mar 2026 - 17:38

193

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The dual of a circular cone

Published on 11 Oct 2016 - 8:06

507

Views

Proof of closure, convex hull and minimal cone of dual set

Published on 12 Oct 2016 - 14:41

100

Views

The extremal points of the dual polytopes of vertex transitive polytopes

Published on 22 Nov 2016 - 16:06

List Question

Volume cut off from the sphere by the cone using cylindrical polar coordinates

A cone in $\mathbb{R}^n$ containing n linearly independent vectors has a non empty interior

Characterizing the dual cone of the squares of skew-symmetric matrices

Given a closed, convex, full-dimensional cone $K$, how do I show that $u\in int(K) \iff u^tx>0 \quad \forall x\in K^*-\{0\}$?

For full-dimensional cone $K$, $x\in int(K)$, can you take arb. vector $y$ and for some $t$ small enough have that $x-ty\in int(K)$

Uniqueness of dual variable for convex optimization problem

Dual problem to SDP problem

Dual polyhedron & dual cone

Why are generalized inequalities defined over proper cone?

How to find the dual cone?

What mean T in formula?

Under what cases of cone $K$ is $x = \text{proj}_K(x) + \text{proj}_{-K^*}(x)$ possible for all $x$?

The dual of a circular cone

Proof of closure, convex hull and minimal cone of dual set

The extremal points of the dual polytopes of vertex transitive polytopes

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