List questions from matrix-norms

Published on 26 Mar 2026 - 11:16

472

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Why are different definitions of the operator norm equivalent?

Published on 19 May 2021 - 11:07

22

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Common basis for a set of matrices with the smallest Frobenius norm

Published on 01 Jun 2021 - 11:03

52

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$\Vert A \Vert_{G_1} \overset{?}{\geq} \Vert A \Vert_{G_2}$, if $G_1 \succeq G_2 \succeq 0 $

Published on 26 Mar 2026 - 6:08

551

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Complex Matrix Gradient of Frobenius Norm

Published on 09 Jun 2021 - 17:43

140

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Show that $\lVert Ax \rVert \geq \lVert x \rVert \lVert A^{-1} \rVert^{-1}$ where $\lVert \cdot \rVert$ is a vector induced norm

Published on 13 Jun 2021 - 10:09

97

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Looking for a general proof of the Cauchy-Schwarz Inequality

Published on 15 Jun 2021 - 6:28

524

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Matrix norm inequality involving smallest eigenvalue reference request

Published on 26 Jun 2021 - 10:43

872

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Bound on norm of inverse of matrix product

Published on 29 Jun 2021 - 9:52

107

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$\|A\|_*=\rho(A)$ for some induced matrix norm when $A$ is diagonalizable.

Published on 27 Mar 2026 - 2:39

35

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Given $x^T(A^TMA)x\leq \theta x^TMx$, obtain a tight bound for $y^T([A^TMA]\otimes [A^TMA])y$

Published on 22 Jul 2021 - 9:15

105

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Inequalities for the euclidean norm

Published on 02 Aug 2021 - 10:50

111

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Upper bound on $\|\cdot\|_2$ norm of the inverse of a sparse matrix.

Published on 26 Mar 2026 - 1:34

1.1k

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Spectral norm of $A$ matrix which equal column norm?

Published on 25 Mar 2026 - 19:03

118

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Dual norm of $\ell_{1,\infty}$ matrix norm

Published on 18 Aug 2021 - 8:52

List Question

Analytic solution of a semidefinite program (SDP)?

Why are different definitions of the operator norm equivalent?

Common basis for a set of matrices with the smallest Frobenius norm

$\Vert A \Vert_{G_1} \overset{?}{\geq} \Vert A \Vert_{G_2}$, if $G_1 \succeq G_2 \succeq 0 $

Complex Matrix Gradient of Frobenius Norm

Show that $\lVert Ax \rVert \geq \lVert x \rVert \lVert A^{-1} \rVert^{-1}$ where $\lVert \cdot \rVert$ is a vector induced norm

Looking for a general proof of the Cauchy-Schwarz Inequality

Matrix norm inequality involving smallest eigenvalue reference request

Bound on norm of inverse of matrix product

$\|A\|_*=\rho(A)$ for some induced matrix norm when $A$ is diagonalizable.

Given $x^T(A^TMA)x\leq \theta x^TMx$, obtain a tight bound for $y^T([A^TMA]\otimes [A^TMA])y$

Inequalities for the euclidean norm

Upper bound on $\|\cdot\|_2$ norm of the inverse of a sparse matrix.

Spectral norm of $A$ matrix which equal column norm?

Dual norm of $\ell_{1,\infty}$ matrix norm

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