Question

Frechet Differentiation and Equivalent Norm examples

score 652 · Answer 1 · 2026-04-29 12:55:39

652

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Frechet Differentiation and Equivalent Norm examples

Published on 29 Apr 2026 - 12:55

score 363 · Answer 2 · 2026-05-07 05:28:16

363

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Proof of Fréchet Differentiability - general instruction and specific problem

Published on 07 May 2026 - 5:28

score 321 · Answer 3 · 2026-05-06 13:49:50

321

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Proof verification + help on last step - Fréchet Differentiable of bilinear function

Published on 06 May 2026 - 13:49

score 343 · Answer 4 · 2026-05-06 03:04:04

343

Views

Notion of continuous partial derivatives in Banach spaces

Published on 06 May 2026 - 3:04

score 400 · Answer 5 · 2026-05-07 14:11:35

400

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Fréchet derivative of matrix-valued function

Published on 07 May 2026 - 14:11

score 42 · Answer 6 · 2026-04-29 12:44:30

42

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If $ \|G(x+ty)\|<\|G(x)\| $, is then $ \|G(x) + tG'(x)[y]\| <\|G(x)\| $?

Published on 29 Apr 2026 - 12:44

score 122 · Answer 7 · 2026-04-21 10:04:47

122

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Prove $\lim_{h \to 0^{+}}\frac{\lVert u +hv \rVert_{\infty} - \lVert u \rVert_{\infty}}{h}=\max_{x \in M}(v\cdot \operatorname{sign}(u))$

Published on 21 Apr 2026 - 10:04

score 128 · Answer 8 · 2026-05-06 12:47:42

128

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How to show that $\Psi: E \rightarrow E$, $\Psi(f) = \sin(f(t))$ is continuous and differentiable?

Published on 06 May 2026 - 12:47

score 85 · Answer 9 · 2026-04-29 12:53:22

85

Views

Frechet derivative of an homogeneous function

Published on 29 Apr 2026 - 12:53

score 856 · Answer 10 · 2026-05-06 11:42:23

856

Views

Calculating a Frechet derivative of a function of functions

Published on 06 May 2026 - 11:42

score 115 · Answer 11 · 2026-05-07 13:38:50

115

Views

Prove that $f$ is linear

Published on 07 May 2026 - 13:38

score 96 · Answer 12 · 2026-04-26 07:42:19

96

Views

Are there simple conditions on a Fréchet differentiable function on a Hilbert space that ensure that the Fréchet derivatives are trace-class?

Published on 26 Apr 2026 - 7:42

score 34 · Answer 13 · 2026-04-26 01:45:12

34

Views

Frechet derivative of a characteristic fucntion

Published on 26 Apr 2026 - 1:45

score 131 · Answer 14 · 2026-04-26 09:51:39

131

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What is the second Fréchet derivative of $x\mapsto x\otimes x$?

Published on 26 Apr 2026 - 9:51

score 143 · Answer 15 · 2026-04-26 12:58:10

143

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What's the second Fréchet derivative of the tensor product of two Fréchet differentiable functions?

Published on 26 Apr 2026 - 12:58

List Question

Frechet Differentiation and Equivalent Norm examples

Proof of Fréchet Differentiability - general instruction and specific problem

Proof verification + help on last step - Fréchet Differentiable of bilinear function

Notion of continuous partial derivatives in Banach spaces

Fréchet derivative of matrix-valued function

If $ \|G(x+ty)\|<\|G(x)\| $, is then $ \|G(x) + tG'(x)[y]\| <\|G(x)\| $?

Prove $\lim_{h \to 0^{+}}\frac{\lVert u +hv \rVert_{\infty} - \lVert u \rVert_{\infty}}{h}=\max_{x \in M}(v\cdot \operatorname{sign}(u))$

How to show that $\Psi: E \rightarrow E$, $\Psi(f) = \sin(f(t))$ is continuous and differentiable?

Frechet derivative of an homogeneous function

Calculating a Frechet derivative of a function of functions

Prove that $f$ is linear

Are there simple conditions on a Fréchet differentiable function on a Hilbert space that ensure that the Fréchet derivatives are trace-class?

Frechet derivative of a characteristic fucntion

What is the second Fréchet derivative of $x\mapsto x\otimes x$?

What's the second Fréchet derivative of the tensor product of two Fréchet differentiable functions?

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