Question

Matrix function derivative. Introduction

score 163 · Answer 1 · 2026-02-23 08:18:53

163

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Matrix function derivative. Introduction

Published on 23 Feb 2026 - 8:18

score 146 · Answer 2 · 2015-11-23 23:51:16

146

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$\forall$ $\epsilon > 0$, $\exists \ \delta > 0$, $\|s\|, \|t\| < \delta \implies$ $|f(x_0 + s) - f(x_0 + t) - Df(x_0)(s-t)| < \epsilon \|s - t \|$

Published on 23 Nov 2015 - 23:51

score 498 · Answer 3 · 2015-12-14 15:57:09

498

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Non-standard version of Frechet derivative

Published on 14 Dec 2015 - 15:57

score 317 · Answer 4 · 2026-03-25 16:17:22

317

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On sufficient conditions for the Fréchet-differentiability of a function of several variables

Published on 25 Mar 2026 - 16:17

score 229 · Answer 5 · 2015-12-18 21:00:32

229

Views

Property of inversion map on invertible operators

Published on 18 Dec 2015 - 21:00

score 301 · Answer 6 · 2015-12-23 01:55:21

301

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Fréchét derivative, its inverse and existense of a solution to $X^2 = B$ in an open subset of $M_2 (\mathbb{R})$

Published on 23 Dec 2015 - 1:55

score 837 · Answer 7 · 2026-03-02 05:55:27

837

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frechet derivative in space with inner product

Published on 02 Mar 2026 - 5:55

score 302 · Answer 8 · 2016-02-09 21:07:16

302

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Differentiability of norm

Published on 09 Feb 2016 - 21:07

score 336 · Answer 9 · 2016-02-16 16:23:10

336

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Frechet Derivative of a direct product of functions

Published on 16 Feb 2016 - 16:23

score 2.4k · Answer 10 · 2016-02-29 15:08:05

2.4k

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Frechet derivative for bilinear map

Published on 29 Feb 2016 - 15:08

score 86 · Answer 11 · 2026-03-26 03:49:13

86

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Frechet Derivative of operator

Published on 26 Mar 2026 - 3:49

score 119 · Answer 12 · 2016-04-22 08:10:40

119

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Given a normed space $X$ and $A:X\to\mathbb R$, how can I compute the second Fréchet derivative of $f(t):=A(x_0+th)$ for some $x_0,h\in X$?

Published on 22 Apr 2016 - 8:10

score 1.5k · Answer 13 · 2016-04-23 15:30:49

1.5k

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If $H$ is a Hilbert space, are we able to identify the derivative ${\rm D}f(x)$ at some $x\in H$ of a differentiable $f\in H'$ with an element of $H$?

Published on 23 Apr 2016 - 15:30

score 259 · Answer 14 · 2016-04-24 12:08:41

259

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Can we have a diffeomorphism from a subset of $\Bbb R^2$ into a subset of $\Bbb R^3$?

Published on 24 Apr 2016 - 12:08

score 1.4k · Answer 15 · 2016-05-06 17:50:07

1.4k

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What's the second Fréchet derivative of a function $\mathbb R^d\to\mathbb R$

Published on 06 May 2016 - 17:50

List Question

Matrix function derivative. Introduction

$\forall$ $\epsilon > 0$, $\exists \ \delta > 0$, $\|s\|, \|t\| < \delta \implies$ $|f(x_0 + s) - f(x_0 + t) - Df(x_0)(s-t)| < \epsilon \|s - t \|$

Non-standard version of Frechet derivative

On sufficient conditions for the Fréchet-differentiability of a function of several variables

Property of inversion map on invertible operators

Fréchét derivative, its inverse and existense of a solution to $X^2 = B$ in an open subset of $M_2 (\mathbb{R})$

frechet derivative in space with inner product

Differentiability of norm

Frechet Derivative of a direct product of functions

Frechet derivative for bilinear map

Frechet Derivative of operator

Given a normed space $X$ and $A:X\to\mathbb R$, how can I compute the second Fréchet derivative of $f(t):=A(x_0+th)$ for some $x_0,h\in X$?

If $H$ is a Hilbert space, are we able to identify the derivative ${\rm D}f(x)$ at some $x\in H$ of a differentiable $f\in H'$ with an element of $H$?

Can we have a diffeomorphism from a subset of $\Bbb R^2$ into a subset of $\Bbb R^3$?

What's the second Fréchet derivative of a function $\mathbb R^d\to\mathbb R$

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