List questions from non-smooth-analysis

Published on 24 Dec 2012 - 9:02

255

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What are the subdifferentials $\partial f(0)$ and $\partial f(1)$?

Published on 06 Aug 2020 - 7:30

882

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Prove that the cone $S = \{(x,y,z) \in \Bbb R^3 ~|~x^2+y^2-z^2=0 \}$ is not a smooth surface

Published on 01 Sep 2020 - 21:14

93

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How does a function's smoothness relate to the smoothness of its inverse?

Published on 05 Sep 2020 - 18:02

77

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Proving convexity of non-smooth function using smooth approximation

Published on 15 Sep 2020 - 14:53

35

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Limit point in the subdifferential

Published on 21 Sep 2020 - 9:02

127

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Equivalence of the two expression for dual averaging

Published on 25 Mar 2026 - 4:40

125

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Which is stronger, Kurdyka-Łojasiewicz property or regular? If the comparison is not proper, what are their range of applications?

Published on 07 Dec 2020 - 6:49

307

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Proof that generalized directional derivative is upper semicontinuous

Published on 25 Mar 2026 - 4:36

79

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Functions similar to $f(x) = x^2 \sin{\frac{1}{x}}$

Published on 22 Feb 2021 - 12:03

68

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Find the subdifferential of a given function

Published on 25 Mar 2026 - 4:37

239

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Finding the gradient of $f(x,y)=\max \{|x|,|y| \}$

Published on 22 Mar 2021 - 14:22

133

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Finding the gradient of $(,)=\max\{||,||\}$ for $|x|=|y|$

Published on 22 Mar 2021 - 17:00

218

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Subdifferential of a function

Published on 29 Mar 2021 - 13:29

91

Views

Condition under which the Clarke's subdifferential is locally Lipschitzian

Published on 25 Mar 2026 - 4:39

List Question

How to find the subdifferential of $|x|$?

What are the subdifferentials $\partial f(0)$ and $\partial f(1)$?

Prove that the cone $S = \{(x,y,z) \in \Bbb R^3 ~|~x^2+y^2-z^2=0 \}$ is not a smooth surface

How does a function's smoothness relate to the smoothness of its inverse?

Proving convexity of non-smooth function using smooth approximation

Limit point in the subdifferential

Equivalence of the two expression for dual averaging

Which is stronger, Kurdyka-Łojasiewicz property or regular? If the comparison is not proper, what are their range of applications?

Proof that generalized directional derivative is upper semicontinuous

Functions similar to $f(x) = x^2 \sin{\frac{1}{x}}$

Find the subdifferential of a given function

Finding the gradient of $f(x,y)=\max \{|x|,|y| \}$

Finding the gradient of $(,)=\max\{||,||\}$ for $|x|=|y|$

Subdifferential of a function

Condition under which the Clarke's subdifferential is locally Lipschitzian

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