List questions from convex-analysis

Published on 10 May 2026 - 21:14

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Convexity of the matrix function (Schur Product Operator norm)

Published on 10 Apr 2026 - 16:53

83

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For any two functions $f_1 : [0,1] →\mathbb R$ and $f_2 : [0,1] →\mathbb R$, check which among the statements are true.

Published on 16 Apr 2026 - 4:47

542

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An optimality condition for constrained problems using subgradients

Published on 06 May 2026 - 2:45

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A necessary and sufficient condition for optimality of non-smooth convex functions over convex set

Published on 04 May 2026 - 0:06

1.6k

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"Pythagorean theorem" for projection onto convex set

Published on 11 Apr 2026 - 0:01

46

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A sufficient condition for strict pseudoconvexity

Published on 13 Apr 2026 - 17:07

97

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Is the function Convex

Published on 14 May 2026 - 18:21

353

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Strict monotonicity of the partial derivatives of a strictly convex function

Published on 10 May 2026 - 18:05

2.1k

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Is the spectral norm of a matrix a strictly convex function?

Published on 10 May 2026 - 14:55

127

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Convexity and positive semidefinitness .

Published on 10 Apr 2026 - 20:55

243

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Show measure zero: application of Theorem 1 in Lang (1986)?

Published on 14 Apr 2026 - 22:23

3.6k

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Show That Minimizer of Rayleigh Quotient Is the Smallest Eigenvalue - $ \min_{x : \left\| x \right\| = 1} {x}^{} {A}^{} A x = {\lambda}_{1}^{2} $

Published on 14 May 2026 - 7:46

931

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Behavior of Convex Functions at Infinity

Published on 12 Apr 2026 - 17:43

478

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Can the Proximal Operator Have Discontinuity?

Published on 14 May 2026 - 1:24

List Question

Legendre transform of multivariable function.

Convexity of the matrix function (Schur Product Operator norm)

For any two functions $f_1 : [0,1] →\mathbb R$ and $f_2 : [0,1] →\mathbb R$, check which among the statements are true.

An optimality condition for constrained problems using subgradients

A necessary and sufficient condition for optimality of non-smooth convex functions over convex set

"Pythagorean theorem" for projection onto convex set

A sufficient condition for strict pseudoconvexity

Is the function Convex

Strict monotonicity of the partial derivatives of a strictly convex function

Is the spectral norm of a matrix a strictly convex function?

Convexity and positive semidefinitness .

Show measure zero: application of Theorem 1 in Lang (1986)?

Show That Minimizer of Rayleigh Quotient Is the Smallest Eigenvalue - $ \min_{x : \left\| x \right\| = 1} {x}^{} {A}^{} A x = {\lambda}_{1}^{2} $

Behavior of Convex Functions at Infinity

Can the Proximal Operator Have Discontinuity?

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