Question

Euclidean norm minimization using rotations, i.e., $\min\limits_\mathbf\Phi \lVert \mathbf{A \Phi b} \rVert_2^2$

score 165 · Answer 1 · 2026-03-28 05:57:57

165

Views

Euclidean norm minimization using rotations, i.e., $\min\limits_\mathbf\Phi \lVert \mathbf{A \Phi b} \rVert_2^2$

Published on 28 Mar 2026 - 5:57

score 256 · Answer 2 · 2020-03-10 23:24:51

256

Views

Are Complex Valued $p$ norms possible?

Published on 10 Mar 2020 - 23:24

score 94 · Answer 3 · 2026-04-03 01:52:59

94

Views

Regarding Normal Cones in a Banach Space

Published on 03 Apr 2026 - 1:52

score 274 · Answer 4 · 2026-03-25 19:04:54

274

Views

Relate l1 norm of Hadamard product to trace

Published on 25 Mar 2026 - 19:04

score 113 · Answer 5 · 2020-03-11 14:21:28

113

Views

Borel $\sigma$- algebra on $\mathbb R^n$

Published on 11 Mar 2020 - 14:21

score 121 · Answer 6 · 2026-03-25 15:57:31

121

Views

Does multiplication by a contractive matrix conserves Lipschitz property?

Published on 25 Mar 2026 - 15:57

score 72 · Answer 7 · 2020-03-12 10:14:38

72

Views

Make sense of norm notations and why is $\int_\Omega \nabla\theta\cdot\nabla\theta_t \ d\mathbf{x} = \frac{1}{2}\frac{d}{dt}|\theta|_1^2$?

Published on 12 Mar 2020 - 10:14

score 39 · Answer 8 · 2020-03-12 13:14:49

39

Views

Are all elements $x$ in $c_0$ such that $\|x\|_\infty < \infty$

Published on 12 Mar 2020 - 13:14

score 67 · Answer 9 · 2020-03-12 19:01:46

67

Views

Proof of $\|x\|_1\le \sqrt{n}\cdot\|x\|_2$

Published on 12 Mar 2020 - 19:01

score 79 · Answer 10 · 2026-04-06 04:19:42

79

Views

Prove that every set that is open with respect to $\|\cdot\|_a$ is also open with respect to $\|\cdot\|_b$.

Published on 06 Apr 2026 - 4:19

score 184 · Answer 11 · 2020-03-13 00:59:43

184

Views

Meaning of the notation (L2 norm?)

Published on 13 Mar 2020 - 0:59

score 206 · Answer 12 · 2026-04-08 07:39:38

206

Views

Frobenius norm property

Published on 08 Apr 2026 - 7:39

score 105 · Answer 13 · 2026-03-25 23:42:16

105

Views

Assuming $A = Df(x_0)$ is invertible, prove that there exists $\mu > 0$ such that for all $x \in R^n$ $ ||Ax|| \geq \mu||x||$

Published on 25 Mar 2026 - 23:42

score 161 · Answer 14 · 2026-03-27 00:06:03

161

Views

Does the supremum of the singular value of a matrix H(s), over the RHP, always occur on the imaginary axis?

Published on 27 Mar 2026 - 0:06

score 50 · Answer 15 · 2020-03-15 03:35:03

50

Views

Proof of $\|A\|_2\le\sqrt{n}.\|A\|_1$, $A\in\Bbb{R}^{m\times n}$

Published on 15 Mar 2020 - 3:35

List Question

Euclidean norm minimization using rotations, i.e., $\min\limits_\mathbf\Phi \lVert \mathbf{A \Phi b} \rVert_2^2$

Are Complex Valued $p$ norms possible?

Regarding Normal Cones in a Banach Space

Relate l1 norm of Hadamard product to trace

Borel $\sigma$- algebra on $\mathbb R^n$

Does multiplication by a contractive matrix conserves Lipschitz property?

Make sense of norm notations and why is $\int_\Omega \nabla\theta\cdot\nabla\theta_t \ d\mathbf{x} = \frac{1}{2}\frac{d}{dt}|\theta|_1^2$?

Are all elements $x$ in $c_0$ such that $\|x\|_\infty < \infty$

Proof of $\|x\|_1\le \sqrt{n}\cdot\|x\|_2$

Prove that every set that is open with respect to $\|\cdot\|_a$ is also open with respect to $\|\cdot\|_b$.

Meaning of the notation (L2 norm?)

Frobenius norm property

Assuming $A = Df(x_0)$ is invertible, prove that there exists $\mu > 0$ such that for all $x \in R^n$ $ ||Ax|| \geq \mu||x||$

Does the supremum of the singular value of a matrix H(s), over the RHP, always occur on the imaginary axis?

Proof of $\|A\|_2\le\sqrt{n}.\|A\|_1$, $A\in\Bbb{R}^{m\times n}$

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