List questions from convex-analysis

Published on 01 Jul 2018 - 0:44

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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 01 Jul 2018 - 11:02

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Formulation Fenchel Duality for Convex problem

Published on 27 Mar 2026 - 11:45

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

Published on 27 Mar 2026 - 13:19

223

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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 24 Mar 2026 - 23:51

175

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

Published on 03 Jul 2018 - 3:25

371

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

Published on 03 Jul 2018 - 12:06

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Does there exist a basis of a Convex Cone

Published on 25 Mar 2026 - 9:25

192

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Hausdorff distance between ellipsoids and related optimization

Published on 27 Mar 2026 - 13:18

294

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Equivalence and convexity in optimization problems with restrictions

Published on 25 Mar 2026 - 1:29

95

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Bounded completely monotone function has bounded derivative

Published on 25 Mar 2026 - 9:33

303

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

Published on 27 Mar 2026 - 15:05

68

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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 25 Mar 2026 - 9:29

480

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

Published on 24 Mar 2026 - 23:31

46

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Understanding inf$_zF(z)$

Published on 27 Mar 2026 - 14:58

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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