List questions from convex-analysis

Published on 11 Apr 2026 - 14:28

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If $f(x,y)$ is convex in $x$ (for any fixed $y$) and convex in $y$ (for any fixed $x$), is it convex?

Published on 14 Apr 2026 - 14:25

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Formulation Fenchel Duality for Convex problem

Published on 11 Apr 2026 - 18:14

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How to solve a large-scale convex problem under some linear constraints.

Published on 14 May 2026 - 22:06

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Equivalence of defining the Fenchel conjugate as $\sup_x\{\langle x^, x \rangle - f(x)\}$ or $\inf_x\{f(x)-\langle x^, x \rangle\}$

Published on 10 May 2026 - 15:10

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Is the convex function of a DC function convex ? Or is it DC?

Published on 13 Apr 2026 - 2:28

374

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Convex smooth function with a single critical point must be global minimum?

Published on 14 Apr 2026 - 3:17

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Does there exist a basis of a Convex Cone

Published on 10 May 2026 - 21:26

194

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Hausdorff distance between ellipsoids and related optimization

Published on 14 Apr 2026 - 15:46

295

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Equivalence and convexity in optimization problems with restrictions

Published on 10 May 2026 - 16:10

98

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Bounded completely monotone function has bounded derivative

Published on 10 May 2026 - 21:14

305

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$C^{1}$ convex function but not $C^{1,1}$

Published on 16 Apr 2026 - 0:35

71

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Is the volume of the largest hyperrectangle inscribed in a convex polytope always larger than some fixed proportion of the polytopes volume?

Published on 10 May 2026 - 21:28

485

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Why Is the Proximal Mapping (Proximal Operator) a Mapping?

Published on 12 May 2026 - 20:34

48

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Understanding inf$_zF(z)$

Published on 11 Apr 2026 - 5:49

List Question

Properties of Convex sets

If $f(x,y)$ is convex in $x$ (for any fixed $y$) and convex in $y$ (for any fixed $x$), is it convex?

Formulation Fenchel Duality for Convex problem

How to solve a large-scale convex problem under some linear constraints.

Equivalence of defining the Fenchel conjugate as $\sup_x\{\langle x^, x \rangle - f(x)\}$ or $\inf_x\{f(x)-\langle x^, x \rangle\}$

Is the convex function of a DC function convex ? Or is it DC?

Convex smooth function with a single critical point must be global minimum?

Does there exist a basis of a Convex Cone

Hausdorff distance between ellipsoids and related optimization

Equivalence and convexity in optimization problems with restrictions

Bounded completely monotone function has bounded derivative

$C^{1}$ convex function but not $C^{1,1}$

Is the volume of the largest hyperrectangle inscribed in a convex polytope always larger than some fixed proportion of the polytopes volume?

Why Is the Proximal Mapping (Proximal Operator) a Mapping?

Understanding inf$_zF(z)$

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