List questions from matrix-norms

Published on 21 Aug 2021 - 0:45

85

Views

How to prove that $\|\Sigma-\mu I\|^2+E\left[\|S-\Sigma\|^2\right] = E\|S-\mu I\|^{2}$?

Published on 26 Mar 2026 - 7:34

196

Views

What is the infinity norm of a matrix multiplied by its pseudo inverse?

Published on 24 Aug 2021 - 11:18

135

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Gradient of spectral norm of matrix

Published on 25 Mar 2026 - 19:05

127

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Inequality involving frobenius norm of product with semi-orthogonal matrix

Published on 25 Aug 2021 - 22:13

329

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Elementary Proof of $\lVert A \rVert_p \leq \lVert A \rVert_1^{1/p} \lVert A \rVert_\infty^{1/q}$ where $1/p+1/q=1$

Published on 27 Mar 2026 - 14:03

56

Views

Matrix Induced norms for when $q=p=\infty$ $q=p=1$ and $q = \infty$ while $p =1$

Published on 01 Sep 2021 - 3:31

214

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$2$-norm of a non-singular matrix

Published on 25 Mar 2026 - 19:03

254

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Additivity of matrix norms?

Published on 02 Sep 2021 - 12:21

61

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Norm of the trimming map

Published on 26 Mar 2026 - 6:25

305

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Prove that $L_{2,1}$ of a matrix is sum of $L_2$ norm of column vectors.

Published on 05 Sep 2021 - 9:47

203

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Is an eigenvalue always less than or equal to a matrix norm if you drop the sub-multiplicativity requirement, which seems to be optional?

Published on 27 Mar 2026 - 4:17

112

Views

On the geometric series convergence for the expression: $(I-\frac{1}{z}A)^{-1}$ where $A$ is a matrix

Published on 09 Sep 2021 - 20:47

682

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What is the $1$-norm of a matrix?

Published on 25 Mar 2026 - 12:52

485

Views

Triangle inequality for singular values

Published on 16 Sep 2021 - 0:13

List Question

Relation between $\max$-norm and $1$-norm

How to prove that $\|\Sigma-\mu I\|^2+E\left[\|S-\Sigma\|^2\right] = E\|S-\mu I\|^{2}$?

What is the infinity norm of a matrix multiplied by its pseudo inverse?

Gradient of spectral norm of matrix

Inequality involving frobenius norm of product with semi-orthogonal matrix

Elementary Proof of $\lVert A \rVert_p \leq \lVert A \rVert_1^{1/p} \lVert A \rVert_\infty^{1/q}$ where $1/p+1/q=1$

Matrix Induced norms for when $q=p=\infty$ $q=p=1$ and $q = \infty$ while $p =1$

$2$-norm of a non-singular matrix

Additivity of matrix norms?

Norm of the trimming map

Prove that $L_{2,1}$ of a matrix is sum of $L_2$ norm of column vectors.

Is an eigenvalue always less than or equal to a matrix norm if you drop the sub-multiplicativity requirement, which seems to be optional?

On the geometric series convergence for the expression: $(I-\frac{1}{z}A)^{-1}$ where $A$ is a matrix

What is the $1$-norm of a matrix?

Triangle inequality for singular values

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