List questions from matrix-norms

Published on 08 Nov 2018 - 22:50

739

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Inequality for the norm of a matrix and the norm of its columns and rows.

Published on 11 Nov 2018 - 16:39

4.2k

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Frobenius and operator $2$-norm

Published on 22 Mar 2026 - 10:22

243

Views

Prove eigenvalues of a symmetric matrix are in a certain interval

Published on 14 Nov 2018 - 10:17

357

Views

When does $\Vert AB \Vert = \Vert A \Vert \Vert B \Vert$?

Published on 15 Nov 2018 - 23:11

63

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Does $\lVert B^TA^{-1}B\rVert_2<1$ imply that $\left\lVert\begin{bmatrix}0&-A^{-1}B\\0&-B^TA^{-1}B\end{bmatrix}\right\rVert_2<1$?

Published on 19 Nov 2018 - 13:25

159

Views

Does a matrix of minimum norm in an affine subspace of $M_n(\mathbb R)$ have minimum spectral radius?

Published on 20 Nov 2018 - 0:52

143

Views

Upper bound of the norm of a matrix difference using an absolutely converging geometric series and Neumann's theorem

Published on 01 Dec 2018 - 10:55

67

Views

How to get a simpler matrix representation of weighted nuclear norm?

Published on 24 Mar 2026 - 22:01

486

Views

Revisit "Inequality between Frobenius and nuclear norm"

Published on 24 Mar 2026 - 22:01

50

Views

$A^t\to 0$ when its row sum is strictly less than one?

Published on 06 Dec 2018 - 16:17

351

Views

Sum of $k$ smallest singular values

Published on 16 Dec 2018 - 22:24

24.1k

Views

$L^2$ norm of a matrix: Is this statement true?

Published on 24 Mar 2026 - 22:09

5.8k

Views

Froebenius norm is unitarily invariant.

Published on 04 Jan 2019 - 12:03

233

Views

1 norm $\|\|_1$, of non square matrix

Published on 07 Jan 2019 - 10:35

List Question

Prove a matrix norm inequality

Inequality for the norm of a matrix and the norm of its columns and rows.

Frobenius and operator $2$-norm

Prove eigenvalues of a symmetric matrix are in a certain interval

When does $\Vert AB \Vert = \Vert A \Vert \Vert B \Vert$?

Does $\lVert B^TA^{-1}B\rVert_2<1$ imply that $\left\lVert\begin{bmatrix}0&-A^{-1}B\\0&-B^TA^{-1}B\end{bmatrix}\right\rVert_2<1$?

Does a matrix of minimum norm in an affine subspace of $M_n(\mathbb R)$ have minimum spectral radius?

Upper bound of the norm of a matrix difference using an absolutely converging geometric series and Neumann's theorem

How to get a simpler matrix representation of weighted nuclear norm?

Revisit "Inequality between Frobenius and nuclear norm"

$A^t\to 0$ when its row sum is strictly less than one?

Sum of $k$ smallest singular values

$L^2$ norm of a matrix: Is this statement true?

Froebenius norm is unitarily invariant.

1 norm $\|\|_1$, of non square matrix

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