List questions from lipschitz-functions

Published on 13 Mar 2021 - 11:31

155

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Taking covariance is Lipschitz

Published on 13 Mar 2021 - 18:41

269

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Smallest Lipschitz constant of $x \mapsto A_0 + \sum_{i=1}^n x_i A_i$

Published on 25 Mar 2026 - 23:39

620

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Function of class $C^1$ implies locally Lipschitz

Published on 21 Mar 2021 - 23:14

34

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Let $c \in \mathbb{R}$ and $X=(c, \infty)$, $Y=(-\infty,c).$ Show that $X$ is homeomorphic to $Y$.

Published on 22 Mar 2021 - 12:23

43

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If $f(x)$ is Lipschitz, is $\langle x, f(x)\rangle$ Lipschitz too?

Published on 22 Mar 2021 - 18:56

33

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Bring one factor out of a sum using Lipschitz continuity

Published on 23 Mar 2021 - 17:20

69

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Submultiplicative property of matrices

Published on 25 Mar 2021 - 22:30

1.3k

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Bound gradient norm during gradient descent for smooth convex optimization.

Published on 01 Apr 2026 - 1:39

494

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Gradient based bound on an L-smooth, strongly convex function

Published on 27 Mar 2021 - 18:00

76

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Iterative algorithm to find fixed points of Lipschitz continuous operators

Published on 31 Mar 2021 - 10:29

183

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Calculating bi-Lipschitz constants

Published on 31 Mar 2021 - 14:18

809

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Terminology: What does "less than 1 and 0 integral" mean? (as in "functions with Lipschitz constant less than one and zero integral")

Published on 01 Apr 2021 - 0:55

120

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About the Continuous representative

Published on 01 Apr 2021 - 15:21

28

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Re-metrizing a compact metrizable space to make a homeomorphism Lipschitz

Published on 02 Apr 2021 - 3:52

List Question

Extending to a Lipschitz function

Taking covariance is Lipschitz

Smallest Lipschitz constant of $x \mapsto A_0 + \sum_{i=1}^n x_i A_i$

Function of class $C^1$ implies locally Lipschitz

Let $c \in \mathbb{R}$ and $X=(c, \infty)$, $Y=(-\infty,c).$ Show that $X$ is homeomorphic to $Y$.

If $f(x)$ is Lipschitz, is $\langle x, f(x)\rangle$ Lipschitz too?

Bring one factor out of a sum using Lipschitz continuity

Submultiplicative property of matrices

Bound gradient norm during gradient descent for smooth convex optimization.

Gradient based bound on an L-smooth, strongly convex function

Iterative algorithm to find fixed points of Lipschitz continuous operators

Calculating bi-Lipschitz constants

Terminology: What does "less than 1 and 0 integral" mean? (as in "functions with Lipschitz constant less than one and zero integral")

About the Continuous representative

Re-metrizing a compact metrizable space to make a homeomorphism Lipschitz

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