Question

How to prove $1-L_{\infty} ~ Norm$ is non-convex (concave) function?

score 75 · Answer 1 · 2026-04-13 03:56:47

75

Views

How to prove $1-L_{\infty} ~ Norm$ is non-convex (concave) function?

Published on 13 Apr 2026 - 3:56

score 55 · Answer 2 · 2026-04-01 15:12:49

55

Views

How to prove the concavity of this function?

Published on 01 Apr 2026 - 15:12

score 249 · Answer 3 · 2026-03-25 03:22:18

249

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 25 Mar 2026 - 3:22

score 224 · Answer 4 · 2026-04-11 23:08:01

224

Views

Alternating projection algorithm fails to find an intersection

Published on 11 Apr 2026 - 23:08

score 65 · Answer 5 · 2026-04-09 21:13:22

65

Views

Joint Convexity of weighted norm of a vector

Published on 09 Apr 2026 - 21:13

score 833 · Answer 6 · 2026-04-11 05:56:18

833

Views

What does a pseudoconvex function look like?

Published on 11 Apr 2026 - 5:56

score 512 · Answer 7 · 2026-04-13 00:26:57

512

Views

Proof that $\xi^*(b)$ is concave for arbitrary b in a linear program

Published on 13 Apr 2026 - 0:26

score 87 · Answer 8 · 2026-03-25 04:40:11

87

Views

Inequality to find the condition for positive semi-definite

Published on 25 Mar 2026 - 4:40

score 428 · Answer 9 · 2026-04-12 03:46:38

428

Views

How can I check if a function is strictly quasi-concave or quasi-concave?

Published on 12 Apr 2026 - 3:46

score 34 · Answer 10 · 2026-03-25 12:52:38

34

Views

Locally mid-convex functions

Published on 25 Mar 2026 - 12:52

score 152 · Answer 11 · 2026-04-11 04:53:28

152

Views

non-degenerate vertices adjacent to exactly $n$ vertices

Published on 11 Apr 2026 - 4:53

score 105 · Answer 12 · 2026-04-12 01:44:52

105

Views

About Legendre transform in Evan's PDE: Show that (i) $v\in \partial H(p)$ iff (ii) $p\in \partial H^(v)$ iff (iii) $v\cdot p=H(p)+H^(v)$

Published on 12 Apr 2026 - 1:44

score 300 · Answer 13 · 2026-03-25 14:36:45

300

Views

Is the convex combination of a convex and strictly convex set, strictly convex?

Published on 25 Mar 2026 - 14:36

score 14 · Answer 14 · 2026-03-03 08:40:45

14

Views

dual pairing and separation

Published on 03 Mar 2026 - 8:40

score 94 · Answer 15 · 2026-03-25 03:22:16

94

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 25 Mar 2026 - 3:22

List Question

How to prove $1-L_{\infty} ~ Norm$ is non-convex (concave) function?

How to prove the concavity of this function?

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

Alternating projection algorithm fails to find an intersection

Joint Convexity of weighted norm of a vector

What does a pseudoconvex function look like?

Proof that $\xi^*(b)$ is concave for arbitrary b in a linear program

Inequality to find the condition for positive semi-definite

How can I check if a function is strictly quasi-concave or quasi-concave?

Locally mid-convex functions

non-degenerate vertices adjacent to exactly $n$ vertices

About Legendre transform in Evan's PDE: Show that (i) $v\in \partial H(p)$ iff (ii) $p\in \partial H^(v)$ iff (iii) $v\cdot p=H(p)+H^(v)$

Is the convex combination of a convex and strictly convex set, strictly convex?

dual pairing and separation

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

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