List questions from spectral-norm

Published on 08 Feb 2023 - 15:27

60

Views

Does there exist an upper bound on the $\frac{\lVert F \rVert_F}{\lVert F \rVert}$ ratio knowing that F is the sum of two matrices?

Published on 16 Feb 2023 - 16:16

166

Views

Frobenius and spectral norms of rank-$1$ matrices

Published on 23 Feb 2026 - 7:00

40

Views

Can we express the spectral norm of a matrix $F$ in terms of the singular values of the sub-matrix $K$?

Published on 23 Feb 2023 - 17:32

81

Views

Bounding spectral norm of the matrix $f(\Sigma)$

Published on 30 Mar 2023 - 4:15

25

Views

$2$-norm of a matrix obtained through discretization of the eigenvalue problem

Published on 25 Mar 2026 - 7:43

118

Views

Is there a notion of the spectrum of $L^1$ functions and does it correspond with the support of a random variable?

Published on 03 Apr 2023 - 20:01

77

Views

Spectral norm of modified matrix

Published on 08 Apr 2023 - 17:38

96

Views

Can a convex combination of matrices in the unit spectral norm ball be unitary?

Published on 14 Apr 2023 - 12:40

113

Views

Prove $\| A\|_2=\|A^T\|_2$

Published on 15 Apr 2023 - 20:34

114

Views

Subgradient of the spectral norm

Published on 25 Mar 2026 - 4:38

83

Views

Maximal spectral norm of balanced $\pm 1$ matrix

Published on 18 May 2023 - 9:36

102

Views

Spectral norm of product and spectral radius

Published on 19 May 2023 - 2:45

110

Views

Case of equality in spectral norm matrix triangle inequality

Published on 23 Feb 2026 - 6:21

97

Views

How to minimize $\| x {\bf I} - {\bf A} \|_2$?

Published on 17 Jun 2023 - 14:52

List Question

Does $\sup_{\Vert x \rVert = 1} \langle A x, x \rangle$ equal the largest eigenvalue of $A$?

Does there exist an upper bound on the $\frac{\lVert F \rVert_F}{\lVert F \rVert}$ ratio knowing that F is the sum of two matrices?

Frobenius and spectral norms of rank-$1$ matrices

Can we express the spectral norm of a matrix $F$ in terms of the singular values of the sub-matrix $K$?

Bounding spectral norm of the matrix $f(\Sigma)$

$2$-norm of a matrix obtained through discretization of the eigenvalue problem

Is there a notion of the spectrum of $L^1$ functions and does it correspond with the support of a random variable?

Spectral norm of modified matrix

Can a convex combination of matrices in the unit spectral norm ball be unitary?

Prove $\| A\|_2=\|A^T\|_2$

Subgradient of the spectral norm

Maximal spectral norm of balanced $\pm 1$ matrix

Spectral norm of product and spectral radius

Case of equality in spectral norm matrix triangle inequality

How to minimize $\| x {\bf I} - {\bf A} \|_2$?

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