List questions from non-smooth-analysis

Published on 04 Dec 2016 - 11:48

37

Views

Optimality check for non-differentiable convex function

Published on 24 Feb 2026 - 16:39

113

Views

Subgradient of the spectral norm

Published on 24 Apr 2023 - 19:50

64

Views

Subdifferential and affine transformation

Published on 14 May 2023 - 18:46

30

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Time derivative a nonsmooth convex function. Chain rule.

Published on 14 Jun 2023 - 15:07

61

Views

Proof of Theorem 6.14 in "Variational analysis (Rockafellar, Wets)"

Published on 23 Feb 2026 - 15:32

138

Views

Fundamental Theorem of Calculus for non-differentiable convex functions

Published on 23 Jun 2023 - 21:02

74

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For a Lipschitz function, is the gradient (when defined) orthogonal to level set?

Published on 02 Jul 2023 - 10:52

112

Views

Is a single-valued (convex) subdifferential sufficient to show differentiability?

Published on 05 Jul 2023 - 10:54

92

Views

The tangent cone at a interior point

Published on 25 Jul 2023 - 14:35

48

Views

The equivalent definition of tangent cone in normed space

Published on 16 Aug 2023 - 9:48

114

Views

Directional derivative of proximal mapping of a convex function

Published on 14 Sep 2023 - 4:55

22

Views

Nonsmooth analysis: Need help clarifying a step in the proof that $co D^\ast u(x) = \partial f(x)$

Published on 25 Nov 2023 - 4:31

86

Views

Let $f$ be convex, and $g$ be a convex surrogate of $f$. Does a Lipschitz-smooth $g-f$ imply $f$ and $g$ have the same subgradients?

Published on 25 Mar 2026 - 3:04

74

Views

Subdifferential of convex functions is nonempty

Published on 02 Jan 2024 - 8:41

List Question

Subdifferential - equivalent definitions?

Optimality check for non-differentiable convex function

Subgradient of the spectral norm

Subdifferential and affine transformation

Time derivative a nonsmooth convex function. Chain rule.

Proof of Theorem 6.14 in "Variational analysis (Rockafellar, Wets)"

Fundamental Theorem of Calculus for non-differentiable convex functions

For a Lipschitz function, is the gradient (when defined) orthogonal to level set?

Is a single-valued (convex) subdifferential sufficient to show differentiability?

The tangent cone at a interior point

The equivalent definition of tangent cone in normed space

Directional derivative of proximal mapping of a convex function

Nonsmooth analysis: Need help clarifying a step in the proof that $co D^\ast u(x) = \partial f(x)$

Let $f$ be convex, and $g$ be a convex surrogate of $f$. Does a Lipschitz-smooth $g-f$ imply $f$ and $g$ have the same subgradients?

Subdifferential of convex functions is nonempty

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