List questions from convex-analysis

Published on 11 Jul 2019 - 13:08

416

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Balancing convex absorbing neighborhoods

Published on 25 Mar 2026 - 11:00

326

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Is Every Integrable Function Convex and Visa-Versa?

Published on 11 Jul 2019 - 20:22

262

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What is the arithmetic cost (computational complexity) of an SDP with nonlinear matrix inequality constraint

Published on 26 Mar 2026 - 4:55

29

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Line connection function in convex function is convex

Published on 12 Jul 2019 - 8:52

751

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When is the Rayleigh quotient (spherically) convex?

Published on 25 Mar 2026 - 17:52

377

Views

Is the interior of a unit square empty?

Published on 12 Jul 2019 - 20:33

72

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Convexity implies $ \frac{\varphi(c)-\varphi(c-h)}{h} \leq \frac{\varphi(c+h)-\varphi(c)}{h}$?, $h>0 $

Published on 14 Jul 2019 - 8:02

247

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Prove that $f:[0,\infty) \to \mathbb{R}, x\mapsto x^p$ for $p\geq 1$ is convex.

Published on 14 Jul 2019 - 15:07

28

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Proving a equality regarding a piece-wise linear function built from $x^2$

Published on 15 Jul 2019 - 6:40

378

Views

Closed-form value for $\min_{x^T\Sigma x \le 1}\|x\|_1 - x^Ta$

Published on 01 Apr 2026 - 3:43

29

Views

Will connecting points on a convex function in increasing order always produce a convex piecewise linear function?

Published on 16 Jul 2019 - 2:51

863

Views

The centroid of a set lies in its convex hull

Published on 23 Feb 2026 - 3:01

46

Views

Translated Convex Set will not contain this point -- why?

Published on 16 Jul 2019 - 18:58

185

Views

Convexity when First Derivative is a Constant

Published on 17 Jul 2019 - 7:22

List Question

Special Cases By Looking At A Simplex

Balancing convex absorbing neighborhoods

Is Every Integrable Function Convex and Visa-Versa?

What is the arithmetic cost (computational complexity) of an SDP with nonlinear matrix inequality constraint

Line connection function in convex function is convex

When is the Rayleigh quotient (spherically) convex?

Is the interior of a unit square empty?

Convexity implies $ \frac{\varphi(c)-\varphi(c-h)}{h} \leq \frac{\varphi(c+h)-\varphi(c)}{h}$?, $h>0 $

Prove that $f:[0,\infty) \to \mathbb{R}, x\mapsto x^p$ for $p\geq 1$ is convex.

Proving a equality regarding a piece-wise linear function built from $x^2$

Closed-form value for $\min_{x^T\Sigma x \le 1}\|x\|_1 - x^Ta$

Will connecting points on a convex function in increasing order always produce a convex piecewise linear function?

The centroid of a set lies in its convex hull

Translated Convex Set will not contain this point -- why?

Convexity when First Derivative is a Constant

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