Question

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

score 361 · Answer 1 · 2026-04-29 13:27:39

361

Views

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

Published on 29 Apr 2026 - 13:27

score 573 · Answer 2 · 2026-04-22 15:06:19

573

Views

Rewrite as second order cone constraint

Published on 22 Apr 2026 - 15:06

score 160 · Answer 3 · 2026-04-27 05:16:04

160

Views

Does every negative semidefinite matrix lie in the convex cone generated by the squares of skew-symmetric matrices?

Published on 27 Apr 2026 - 5:16

score 482 · Answer 4 · 2026-04-07 19:47:11

482

Views

Is a convex cone which is generated by a closed linear cone always closed?

Published on 07 Apr 2026 - 19:47

score 177 · Answer 5 · 2026-04-27 03:48:04

177

Views

The boundary of the convex hull of squares of skew-symmetric matrices

Published on 27 Apr 2026 - 3:48

score 801 · Answer 6 · 2026-05-07 03:08:59

801

Views

How is a halfspace an affine convex cone?

Published on 07 May 2026 - 3:08

score 352 · Answer 7 · 2026-05-02 22:02:31

352

Views

Show sum of two polyhedral cones is a polyhedral cone?

Published on 02 May 2026 - 22:02

score 182 · Answer 8 · 2026-03-25 06:31:41

182

Views

Mori cone: extremal ray intersections

Published on 25 Mar 2026 - 6:31

score 507 · Answer 9 · 2026-03-25 06:27:54

507

Views

Is the nonnegative orthant a "convex polyhedral cone"?

Published on 25 Mar 2026 - 6:27

score 122 · Answer 10 · 2026-03-25 06:27:46

122

Views

is a positive ray is a convex cone?

Published on 25 Mar 2026 - 6:27

score 260 · Answer 11 · 2026-05-07 02:22:50

260

Views

Probability that random variable is inside cone

Published on 07 May 2026 - 2:22

score 251 · Answer 12 · 2026-05-10 17:02:26

251

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 10 May 2026 - 17:02

score 102 · Answer 13 · 2026-04-14 22:55:25

102

Views

Cone of positive Hilbert-Schmidt operators

Published on 14 Apr 2026 - 22:55

score 97 · Answer 14 · 2026-05-10 17:02:24

97

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 10 May 2026 - 17:02

score 60 · Answer 15 · 2026-03-25 06:30:19

60

Views

Show that $a^Tz\ge b$ for $z\in K$ if $a^Tz>b$ for $z\in \operatorname{int}(K)$ with $K$ being a convex cone

Published on 25 Mar 2026 - 6:30

List Question

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

Rewrite as second order cone constraint

Does every negative semidefinite matrix lie in the convex cone generated by the squares of skew-symmetric matrices?

Is a convex cone which is generated by a closed linear cone always closed?

The boundary of the convex hull of squares of skew-symmetric matrices

How is a halfspace an affine convex cone?

Show sum of two polyhedral cones is a polyhedral cone?

Mori cone: extremal ray intersections

Is the nonnegative orthant a "convex polyhedral cone"?

is a positive ray is a convex cone?

Probability that random variable is inside cone

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

Cone of positive Hilbert-Schmidt operators

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

Show that $a^Tz\ge b$ for $z\in K$ if $a^Tz>b$ for $z\in \operatorname{int}(K)$ with $K$ being a convex cone

Trending Questions

Popular # Hahtags

Popular Questions