List questions from spectral-norm

74

Views

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

Published on 02 Jul 2023 - 16:42

53

Views

Find the matrix maximizing a summation of bilinear forms

Published on 24 Aug 2023 - 3:46

112

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2-norm of transpose proof

Published on 18 Sep 2023 - 18:56

29

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

Published on 23 Sep 2023 - 9:46

63

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

Published on 26 Oct 2023 - 9:33

55

Views

Spectral norm of non-square matrices

Published on 02 Jan 2024 - 18:19

135

Views

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

Published on 21 Jan 2024 - 6:28

11.9k

Views

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

Published on 25 Mar 2026 - 6:06

2.3k

Views

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

Published on 12 Apr 2015 - 6:23

356

Views

Orthogonal Procrustes Problem using the operator norm

Published on 25 Mar 2026 - 2:57

342

Views

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

Published on 25 Mar 2026 - 9:23

6.3k

Views

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

Published on 23 Feb 2026 - 8:37

289

Views

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

Published on 17 Mar 2026 - 0:44

1k

Views

Spectral Norm Proof

Published on 23 Mar 2026 - 11:56

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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