List questions from matrix-norms

Published on 24 May 2022 - 8:18

130

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Matrix-vector norm inequalities in tridiagonal matrix

Published on 25 Mar 2026 - 23:09

174

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subgradient - subdifferential of spectral norm for a complex matrix

Published on 26 Mar 2026 - 12:52

67

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How to denote $L_p$ norm of a matrix $X$ in either row or column direction?

Published on 04 Jun 2022 - 7:58

468

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Show that the set of extreme points of $S$ is its boundary

Published on 04 Jun 2022 - 18:21

811

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$\lVert P \rVert_2 =1$ iff $P$ is an orthogonal projector - Proof

Published on 05 Jun 2022 - 22:28

409

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Show that the following function is continuous on R^2

Published on 06 Jun 2022 - 17:55

46

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Prove the convergence of the following sequences.

Published on 07 Jun 2022 - 16:07

46

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Does $\|A^k\| \leq a k^{n-1} \rho^k(A)$ hold?

Published on 26 Mar 2026 - 11:00

32

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Upper bound on $\|A^{-1}\|_{\infty}$ for $A$ with unit length columns.

Published on 12 Jun 2022 - 17:07

43

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What does the $\|^2_F$ represent in the notation $\operatorname{argmin}\left\|\text{some expression}\right\|_F^2$?

Published on 14 Jun 2022 - 22:57

71

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Upper bounds of $x^\top ABAx$

Published on 16 Jun 2022 - 1:31

205

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Prove that $\kappa (A) = \sup\Big\{ \frac{||Ax||}{||Ay||},\ ||x|| = ||y||\Big\}$.

Published on 26 Mar 2026 - 3:12

64

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$V \in \mathbb{C}^{n \times n}$. Does $\lVert I_n - V \rVert_\infty \leq \epsilon$ imply lower bounds on the smallest eigenvalue of $V$?

Published on 26 Jun 2022 - 17:36

31

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Does Taylor theorem apply in zero diagonal matrix

Published on 01 Jul 2022 - 7:10

List Question

Lower bound on the off-diagonal elements of a PSD matrix

Matrix-vector norm inequalities in tridiagonal matrix

subgradient - subdifferential of spectral norm for a complex matrix

How to denote $L_p$ norm of a matrix $X$ in either row or column direction?

Show that the set of extreme points of $S$ is its boundary

$\lVert P \rVert_2 =1$ iff $P$ is an orthogonal projector - Proof

Show that the following function is continuous on R^2

Prove the convergence of the following sequences.

Does $\|A^k\| \leq a k^{n-1} \rho^k(A)$ hold?

Upper bound on $\|A^{-1}\|_{\infty}$ for $A$ with unit length columns.

What does the $\|^2_F$ represent in the notation $\operatorname{argmin}\left\|\text{some expression}\right\|_F^2$?

Upper bounds of $x^\top ABAx$

Prove that $\kappa (A) = \sup\Big\{ \frac{||Ax||}{||Ay||},\ ||x|| = ||y||\Big\}$.

$V \in \mathbb{C}^{n \times n}$. Does $\lVert I_n - V \rVert_\infty \leq \epsilon$ imply lower bounds on the smallest eigenvalue of $V$?

Does Taylor theorem apply in zero diagonal matrix

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