List questions from spectral-norm

77

Views

Operator norm $4$ different definitions how to prove that $\sup$ is $\max$ and $\inf$ is $\min$ for the last two?

Published on 10 Apr 2026 - 19:38

58

Views

Find the matrix maximizing a summation of bilinear forms

Published on 17 Apr 2026 - 3:57

115

Views

2-norm of transpose proof

Published on 16 Apr 2026 - 11:46

30

Views

How to prove the inequality for the spectral radius and spectral norm of an arbitrary matrix?

Published on 25 Mar 2026 - 12:49

66

Views

What is the second derivative of the spectral norm of a symmetric matrix?

Published on 14 Apr 2026 - 6:50

58

Views

Spectral norm of non-square matrices

Published on 15 Apr 2026 - 7:43

138

Views

Bounding $\|(I-A)^{-1}\|_2$ for $\rho(A)<1$

Published on 15 Apr 2026 - 12:09

11.9k

Views

Show that the dual norm of the spectral norm is the nuclear norm

Published on 11 May 2026 - 1:53

2.3k

Views

Proximal operator of spectral norm (Schatten norm) of a matrix

Published on 17 Apr 2026 - 3:50

358

Views

Orthogonal Procrustes Problem using the operator norm

Published on 10 May 2026 - 15:41

343

Views

Max-norm and trace-norm matrix completion — which one is better?

Published on 10 May 2026 - 16:00

6.3k

Views

Is spectral radius = operator norm for a positive valued matrix?

Published on 09 Apr 2026 - 14:52

290

Views

How does a permutation $P$ affect the singular value $\sigma_{\text{max}}(Q^\top P^\top Q)$ for orthogonal $Q$?

Published on 10 May 2026 - 19:35

1k

Views

Spectral Norm Proof

Published on 27 Apr 2026 - 14:23

92

Views

Spectral norm of a matrix of cosines

Published on 26 Feb 2026 - 10:01

List Question

Operator norm $4$ different definitions how to prove that $\sup$ is $\max$ and $\inf$ is $\min$ for the last two?

Find the matrix maximizing a summation of bilinear forms

2-norm of transpose proof

How to prove the inequality for the spectral radius and spectral norm of an arbitrary matrix?

What is the second derivative of the spectral norm of a symmetric matrix?

Spectral norm of non-square matrices

Bounding $\|(I-A)^{-1}\|_2$ for $\rho(A)<1$

Show that the dual norm of the spectral norm is the nuclear norm

Proximal operator of spectral norm (Schatten norm) of a matrix

Orthogonal Procrustes Problem using the operator norm

Max-norm and trace-norm matrix completion — which one is better?

Is spectral radius = operator norm for a positive valued matrix?

How does a permutation $P$ affect the singular value $\sigma_{\text{max}}(Q^\top P^\top Q)$ for orthogonal $Q$?

Spectral Norm Proof

Spectral norm of a matrix of cosines

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