Question

Does orthogonality in Frobenius inner product imply pythagorean orthogonality for spectral norm?

score 100 · Answer 1 · 2023-03-13 06:54:46

100

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Does orthogonality in Frobenius inner product imply pythagorean orthogonality for spectral norm?

Published on 13 Mar 2023 - 6:54

score 90 · Answer 2 · 2023-03-14 16:52:57

90

Views

Singular values of matrix. Estimate norm of the expression

Published on 14 Mar 2023 - 16:52

score 141 · Answer 3 · 2026-03-26 02:58:16

141

Views

Prove that if $A$ is hermitian then $\|A\|=\max_{u^\dagger u=1}|u^\dagger Au|=|\lambda_i|_\max$

Published on 26 Mar 2026 - 2:58

score 80 · Answer 4 · 2023-03-18 11:26:24

80

Views

Evaluate $\max_{u^\dagger u=1}|u^\dagger Au|$ when $A=\begin{bmatrix}1&0\\1&1\end{bmatrix}$

Published on 18 Mar 2023 - 11:26

score 30 · Answer 5 · 2023-03-21 01:18:48

30

Views

Show $2m(R\textbf{x})\cdot \textbf{a} +m\|R\textbf{a}\|^2=m\|R\textbf{x}\|^2+m\|R(\textbf{a}-\textbf{x}) \|^2$

Published on 21 Mar 2023 - 1:18

score 99 · Answer 6 · 2023-03-26 15:30:59

99

Views

Upper bound for the norm of a matrix by using an upper bound on the entries

Published on 26 Mar 2023 - 15:30

score 229 · Answer 7 · 2023-03-29 06:52:27

229

Views

Infinity norm and operator norm question

Published on 29 Mar 2023 - 6:52

score 116 · Answer 8 · 2026-03-25 19:01:43

116

Views

Projection matrix product under operator norm

Published on 25 Mar 2026 - 19:01

score 45 · Answer 9 · 2023-04-02 14:10:20

45

Views

df(X) of Frobenius norm of a matrix

Published on 02 Apr 2023 - 14:10

score 44 · Answer 10 · 2023-04-07 13:07:15

44

Views

Norm of a symmetric matrix in terms of its eigenvalues

Published on 07 Apr 2023 - 13:07

score 78 · Answer 11 · 2026-03-25 11:10:26

78

Views

Spectral norm of modified matrix

Published on 25 Mar 2026 - 11:10

score 86 · Answer 12 · 2023-04-09 12:46:24

86

Views

Matrix integral inequality with Frobenius norm

Published on 09 Apr 2023 - 12:46

score 144 · Answer 13 · 2023-04-10 23:32:34

144

Views

Finding norm of b given ||a||, ||a-b||, and ||a+b||?

Published on 10 Apr 2023 - 23:32

score 62 · Answer 14 · 2023-04-11 08:59:08

62

Views

Frobenius Norm confusion on Hermitian and Transpose on matrix form

Published on 11 Apr 2023 - 8:59

score 176 · Answer 15 · 2023-04-11 11:51:56

176

Views

Norm of Hermiticity-preserving linear map attained on rank-1 state?

Published on 11 Apr 2023 - 11:51

List Question

Does orthogonality in Frobenius inner product imply pythagorean orthogonality for spectral norm?

Singular values of matrix. Estimate norm of the expression

Prove that if $A$ is hermitian then $\|A\|=\max_{u^\dagger u=1}|u^\dagger Au|=|\lambda_i|_\max$

Evaluate $\max_{u^\dagger u=1}|u^\dagger Au|$ when $A=\begin{bmatrix}1&0\\1&1\end{bmatrix}$

Show $2m(R\textbf{x})\cdot \textbf{a} +m\|R\textbf{a}\|^2=m\|R\textbf{x}\|^2+m\|R(\textbf{a}-\textbf{x}) \|^2$

Upper bound for the norm of a matrix by using an upper bound on the entries

Infinity norm and operator norm question

Projection matrix product under operator norm

df(X) of Frobenius norm of a matrix

Norm of a symmetric matrix in terms of its eigenvalues

Spectral norm of modified matrix

Matrix integral inequality with Frobenius norm

Finding norm of b given ||a||, ||a-b||, and ||a+b||?

Frobenius Norm confusion on Hermitian and Transpose on matrix form

Norm of Hermiticity-preserving linear map attained on rank-1 state?

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