Question

Proving Lipschitz gradient of $f(x)=\sqrt{1+\|x\|^2}$

score 841 · Answer 1 · 2020-04-30 06:15:00

841

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Proving Lipschitz gradient of $f(x)=\sqrt{1+\|x\|^2}$

Published on 30 Apr 2020 - 6:15

score 169 · Answer 2 · 2020-05-01 06:45:57

169

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Bounded Hessian implies Lipschitz gradient in non-convex set?

Published on 01 May 2020 - 6:45

score 1.4k · Answer 3 · 2020-05-03 05:36:57

1.4k

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A linear transformation of $\mathbb{R}^n$ is Lipschitz

Published on 03 May 2020 - 5:36

score 330 · Answer 4 · 2026-02-23 04:37:45

330

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A question in the proof that Lipchitz continuous functions implies $W^{1,\infty}$.

Published on 23 Feb 2026 - 4:37

score 283 · Answer 5 · 2020-05-04 20:16:47

283

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Existence theorem for the SIR epidemic differential equations

Published on 04 May 2020 - 20:16

score 728 · Answer 6 · 2020-05-04 20:55:50

728

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Lipschitz function and uniform convergence

Published on 04 May 2020 - 20:55

score 376 · Answer 7 · 2020-05-06 08:09:09

376

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Vector-valued continuously differentiable function of several variables is locally Lipschitz

Published on 06 May 2020 - 8:09

score 246 · Answer 8 · 2020-05-07 05:39:45

246

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Any known bounds for convex function say $f$ with $L$-Lipschitz continuous gradient: $( x - y)^T A \left( \nabla f(x) - \nabla f(y)\right)$?

Published on 07 May 2020 - 5:39

score 92 · Answer 9 · 2026-03-25 12:46:15

92

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Show that the function $f$ is a contraction

Published on 25 Mar 2026 - 12:46

score 331 · Answer 10 · 2026-03-25 04:35:13

331

Views

Using Picards theorem to show that the initial value problem has a unique solution

Published on 25 Mar 2026 - 4:35

score 25 · Answer 11 · 2020-05-09 02:05:08

25

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Show that if $F(f(x))$ is AC on $[a,b]$, for all $f$ that are AC on $[a,b]$, then $F$ is lipshitz

Published on 09 May 2020 - 2:05

score 26 · Answer 12 · 2026-03-25 21:30:51

26

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Verhulst model and Lipschitz dependancy

Published on 25 Mar 2026 - 21:30

score 144 · Answer 13 · 2020-05-14 17:29:55

144

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Inequality for convex function say $f$ with $L$-Lipschitz continuous gradient: $( x - y)^T \left( \alpha \nabla f(x) - \beta \nabla f(y)\right)$?

Published on 14 May 2020 - 17:29

score 28 · Answer 14 · 2026-03-25 14:19:13

28

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Is $\min$ a non-expansive function?

Published on 25 Mar 2026 - 14:19

score 39 · Answer 15 · 2020-05-19 01:12:40

39

Views

Real Analysis on Functions with Lipschitz Derivatives

Published on 19 May 2020 - 1:12

List Question

Proving Lipschitz gradient of $f(x)=\sqrt{1+\|x\|^2}$

Bounded Hessian implies Lipschitz gradient in non-convex set?

A linear transformation of $\mathbb{R}^n$ is Lipschitz

A question in the proof that Lipchitz continuous functions implies $W^{1,\infty}$.

Existence theorem for the SIR epidemic differential equations

Lipschitz function and uniform convergence

Vector-valued continuously differentiable function of several variables is locally Lipschitz

Any known bounds for convex function say $f$ with $L$-Lipschitz continuous gradient: $( x - y)^T A \left( \nabla f(x) - \nabla f(y)\right)$?

Show that the function $f$ is a contraction

Using Picards theorem to show that the initial value problem has a unique solution

Show that if $F(f(x))$ is AC on $[a,b]$, for all $f$ that are AC on $[a,b]$, then $F$ is lipshitz

Verhulst model and Lipschitz dependancy

Inequality for convex function say $f$ with $L$-Lipschitz continuous gradient: $( x - y)^T \left( \alpha \nabla f(x) - \beta \nabla f(y)\right)$?

Is $\min$ a non-expansive function?

Real Analysis on Functions with Lipschitz Derivatives

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