List questions from convex-optimization

Published on 25 Mar 2026 - 17:20

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What is the convex conjugate of $f=\max_{i=1\dots n}x_i$?

Published on 16 Mar 2017 - 10:16

289

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Prove that if $M$ is a subspace of $\mathbb{R}^n$ such that $M \not= \mathbb{R}^n$ , then the interior of $M$ is empty.

Published on 04 Apr 2026 - 6:41

334

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when does schur convex function imply weak majorization

Published on 14 Mar 2026 - 12:53

11.2k

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Proximal Operator of the Euclidean Norm ($ {L}_{2} $ Norm)

Published on 25 Mar 2026 - 12:19

73

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Solving a convex optimization problem

Published on 29 Mar 2026 - 5:34

503

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Proximal / Prox Operator of a Unit Ball Function

Published on 08 Apr 2026 - 17:32

968

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How to show that the square of a concave function satisfies this upper bound?

Published on 17 Mar 2017 - 17:55

244

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simple optimization problem/proof

Published on 18 Mar 2017 - 4:48

38

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Finding an optimization function that is differentiable but its gradient and hessian are very hard/impossible to compute

Published on 04 Apr 2026 - 6:39

5.2k

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Proving that a strongly convex function is coercive

Published on 23 Feb 2026 - 21:11

7.9k

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What is a strictly convex function that is not strongly convex?

Published on 06 Apr 2026 - 4:37

737

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Show that the epigraph of $f(x) = 0, x < 0, \text{ and } 1, x\geq 0$ is not closed by examining a plot of the function

Published on 08 Apr 2026 - 19:11

113

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Formulating a constraint on the SUM of the magnitudes of a set of vectors in a constrained optimization

Published on 04 Apr 2026 - 6:42

197

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Calculate gradient of a vector formula

Published on 20 Mar 2017 - 9:33

List Question

Sum of subgradients belongs to subgradient of sums?

What is the convex conjugate of $f=\max_{i=1\dots n}x_i$?

Prove that if $M$ is a subspace of $\mathbb{R}^n$ such that $M \not= \mathbb{R}^n$ , then the interior of $M$ is empty.

when does schur convex function imply weak majorization

Proximal Operator of the Euclidean Norm ($ {L}_{2} $ Norm)

Solving a convex optimization problem

Proximal / Prox Operator of a Unit Ball Function

How to show that the square of a concave function satisfies this upper bound?

simple optimization problem/proof

Finding an optimization function that is differentiable but its gradient and hessian are very hard/impossible to compute

Proving that a strongly convex function is coercive

What is a strictly convex function that is not strongly convex?

Show that the epigraph of $f(x) = 0, x < 0, \text{ and } 1, x\geq 0$ is not closed by examining a plot of the function

Formulating a constraint on the SUM of the magnitudes of a set of vectors in a constrained optimization

Calculate gradient of a vector formula

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