List questions from convex-analysis

Published on 25 Mar 2026 - 15:59

30

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convex function related

Published on 01 Nov 2018 - 17:09

233

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Prove that if $x^1,\dots,x^m$ are linearly independent then $C = \text{cone}(\{x^1,\dots,x^m\})$ is closed.

Published on 01 Nov 2018 - 18:22

88

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Relationship between $\langle \nabla f(\overline{x}), x - \overline{x}\rangle > 0$ and the the minimality of $\overline{x}$.

Published on 28 Mar 2026 - 21:34

60

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Give example of functions $f, g : \Bbb R \to \Bbb R$ such that $f(x)$ is convex, $g(x)$ is increasing and $h(x)=g(f(x))$ is not convex

Published on 30 Mar 2026 - 23:15

160

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Maximize a sum of posynomials

Published on 26 Mar 2026 - 20:25

240

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Prove that the polar set of a convex set contains the origin

Published on 25 Mar 2026 - 6:04

978

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Indefinite Hessian and concavity

Published on 28 Mar 2026 - 21:26

1.7k

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Saddle point property proof, min max

Published on 03 Nov 2018 - 18:57

121

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A nice conjecture about convexity

Published on 04 Nov 2018 - 11:22

478

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Show that every point is an extreme point of the given convex set

Published on 25 Mar 2026 - 16:03

73

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If $L$ is a closed convex subset of compact convex set $K$, then the restriction map $A(K)\to A(L)$ is surjective

Published on 25 Mar 2026 - 18:49

94

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Is $f(\alpha, \beta) = \exp\left\{ -j \ \alpha \ d^{\beta} \right\}$ convex?

Published on 04 Nov 2018 - 14:00

244

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Question about affine span and symmetric matrices

Published on 25 Mar 2026 - 1:29

80

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Find a convex hull of a given set

Published on 04 Nov 2018 - 18:16

List Question

Karmarkar's canonical form for convex quadratic programs??

convex function related

Prove that if $x^1,\dots,x^m$ are linearly independent then $C = \text{cone}(\{x^1,\dots,x^m\})$ is closed.

Relationship between $\langle \nabla f(\overline{x}), x - \overline{x}\rangle > 0$ and the the minimality of $\overline{x}$.

Give example of functions $f, g : \Bbb R \to \Bbb R$ such that $f(x)$ is convex, $g(x)$ is increasing and $h(x)=g(f(x))$ is not convex

Maximize a sum of posynomials

Prove that the polar set of a convex set contains the origin

Indefinite Hessian and concavity

Saddle point property proof, min max

A nice conjecture about convexity

Show that every point is an extreme point of the given convex set

If $L$ is a closed convex subset of compact convex set $K$, then the restriction map $A(K)\to A(L)$ is surjective

Is $f(\alpha, \beta) = \exp\left\{ -j \ \alpha \ d^{\beta} \right\}$ convex?

Question about affine span and symmetric matrices

Find a convex hull of a given set

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