List questions from frechet-derivative

27

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Prove $\partial^q f(x)\in\mathcal{L}^q_{\text{sym}}(X,F) \qquad\text{for}\;x\in X\;\text{and}\;1\leq q\leq m$.

Published on 08 May 2019 - 3:10

50

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derivate of a function of 2 variables

Published on 11 May 2019 - 16:58

454

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Alternative proof of Taylor's formula by only using the linear approximation property

Published on 11 May 2019 - 18:54

60

Views

Find out whether a function of several variables is differentiable

Published on 19 May 2019 - 9:34

45

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Upper bound on the trace of k-th Frechet derivative of the matrix function $|x^k|$

Published on 25 Mar 2026 - 11:15

133

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First order optimality conditions

Published on 28 Jun 2019 - 16:26

32

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Hypercyclic Vector

Published on 03 Jul 2019 - 2:40

147

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second order derivative of $F(t) = f(x+t,y+t)+f(x-t,y-t)-f(x+t,y-t)-f(x-t,y+t)$

Published on 05 Jul 2019 - 19:51

459

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Functional derivative of norm gradient

Published on 16 Jul 2019 - 18:36

106

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Notation in definition of Fréchet differentiation

Published on 19 Jul 2019 - 18:01

102

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How can we compute the Fréchet derivative of $q\mapsto\int\frac{(pf)^2}q\:{\rm d}\lambda$?

Published on 04 Aug 2019 - 18:14

464

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Frechet distance example

Published on 25 Mar 2026 - 9:22

46

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If $f:E_1\times E_2\to F$ is Fréchet differentiable at $x$, then ${\rm D}f(x)y={\rm D}_1f(x)y_1+{\rm D}_2f(x)y_2$

Published on 07 Aug 2019 - 11:20

129

Views

Smooth maps from given manifold into the complex plane: is there a "product rule"?

Published on 07 Aug 2019 - 14:52

596

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Lagrange multipliers on Banach spaces

Published on 07 Aug 2019 - 16:14

List Question

Prove $\partial^q f(x)\in\mathcal{L}^q_{\text{sym}}(X,F) \qquad\text{for}\;x\in X\;\text{and}\;1\leq q\leq m$.

derivate of a function of 2 variables

Alternative proof of Taylor's formula by only using the linear approximation property

Find out whether a function of several variables is differentiable

Upper bound on the trace of k-th Frechet derivative of the matrix function $|x^k|$

First order optimality conditions

Hypercyclic Vector

second order derivative of $F(t) = f(x+t,y+t)+f(x-t,y-t)-f(x+t,y-t)-f(x-t,y+t)$

Functional derivative of norm gradient

Notation in definition of Fréchet differentiation

How can we compute the Fréchet derivative of $q\mapsto\int\frac{(pf)^2}q\:{\rm d}\lambda$?

Frechet distance example

If $f:E_1\times E_2\to F$ is Fréchet differentiable at $x$, then ${\rm D}f(x)y={\rm D}_1f(x)y_1+{\rm D}_2f(x)y_2$

Smooth maps from given manifold into the complex plane: is there a "product rule"?

Lagrange multipliers on Banach spaces

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