List questions from spectral-norm

Published on 25 Mar 2026 - 9:33

934

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The matrix norm of the identity matrix disturbed by a small matrix

Published on 25 Mar 2026 - 9:39

490

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Why take the maximum eigenvalue in computing the matrix $2$-norm?

Published on 25 Mar 2026 - 9:33

449

Views

The operator norm is defined based on the supremum or equivalently the maximum.

Published on 25 Mar 2026 - 9:37

51

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How to prove that $\|A\|_2=5$?

Published on 10 May 2026 - 8:57

659

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Upper bound on the $\|\cdot\|_2$ norm of a tridiagonal matrix

Published on 25 Mar 2026 - 6:50

205

Views

Prove that $\|R\|_2 = \|A\|_2^{1/2}$ where $A=R^* R$ is a Cholesky factorization of $A$

Published on 10 May 2026 - 18:29

836

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Spectral norm, eigenvalues range

Published on 25 Mar 2026 - 11:08

267

Views

Spectral radius of block-skew-hermitian matrix equals norm of block

Published on 16 Apr 2026 - 10:39

1.2k

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Calculate the spectral norm

Published on 10 May 2026 - 12:03

1.2k

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Calculate the matrix norm of $\boldsymbol{a} = [2, 1]$ and $\boldsymbol{b} = [2, 1]^{T}$

Published on 15 Apr 2026 - 4:23

1.2k

Views

Maximize $\langle \mathrm A , \mathrm X \rangle$ subject to $\| \mathrm X \|_2 \leq 1$

Published on 10 May 2026 - 19:06

2.4k

Views

Triangle inequality with spectral norm

Published on 11 Apr 2026 - 18:42

2.4k

Views

Spectral norm minimization via semidefinite programming

Published on 10 May 2026 - 20:49

8.7k

Views

The spectral norm of a positive definite matrix is its largest eigenvalue

Published on 10 Apr 2026 - 5:51

List Question

Eigenvalues and operator norm

The matrix norm of the identity matrix disturbed by a small matrix

Why take the maximum eigenvalue in computing the matrix $2$-norm?

The operator norm is defined based on the supremum or equivalently the maximum.

How to prove that $\|A\|_2=5$?

Upper bound on the $\|\cdot\|_2$ norm of a tridiagonal matrix

Prove that $\|R\|_2 = \|A\|_2^{1/2}$ where $A=R^* R$ is a Cholesky factorization of $A$

Spectral norm, eigenvalues range

Spectral radius of block-skew-hermitian matrix equals norm of block

Calculate the spectral norm

Calculate the matrix norm of $\boldsymbol{a} = [2, 1]$ and $\boldsymbol{b} = [2, 1]^{T}$

Maximize $\langle \mathrm A , \mathrm X \rangle$ subject to $\| \mathrm X \|_2 \leq 1$

Triangle inequality with spectral norm

Spectral norm minimization via semidefinite programming

The spectral norm of a positive definite matrix is its largest eigenvalue

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