List questions from spectral-norm

Published on 15 Apr 2026 - 23:50

106

Views

Matrices are close if and only if null spaces are close

Published on 12 Apr 2026 - 4:06

168

Views

Kreiss matrix theorem for general induced norms

Published on 13 Apr 2026 - 2:38

54

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Meaning of the spectral metric on matrices?

Published on 14 Apr 2026 - 15:51

230

Views

Defining operator norm as the spectral norm of its matrix

Published on 10 Apr 2026 - 17:28

205

Views

Finding a bound on the norm of a matrix

Published on 13 Apr 2026 - 9:48

102

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Average spectral norm of the random matrix with unit norm rows?

Published on 10 Apr 2026 - 18:00

362

Views

average spectral norm of a random matrix

Published on 11 Apr 2026 - 3:11

924

Views

Proof of two equivalent definitions of the spectral norm

Published on 11 Apr 2026 - 2:30

2.2k

Views

Condition number of a positive definite matrix

Published on 14 Apr 2026 - 6:52

172

Views

Bounds on eigenvalues/trace/singular values of a matrix based on trace/Frobenius norm etc.

Published on 14 Apr 2026 - 13:41

112

Views

Why is the condition $\|Z\| < 1$ equivalent to $I - ZZ^{\top} > 0$?

Published on 11 May 2026 - 5:23

76

Views

Upper bounding the largest singular value of a matrix $X$ via LMI — is it correct?

Published on 10 May 2026 - 22:09

1.1k

Views

How to prove that the spectral norm is unitarily invariant?

Published on 14 Apr 2026 - 11:40

1.2k

Views

Is there a way to prove that the 2-norm of a matrix is greater than the largest element?

Published on 11 Apr 2026 - 21:44

List Question

Why is the Frobenius norm of a matrix greater than or equal to the spectral norm?

Matrices are close if and only if null spaces are close

Kreiss matrix theorem for general induced norms

Meaning of the spectral metric on matrices?

Defining operator norm as the spectral norm of its matrix

Finding a bound on the norm of a matrix

Average spectral norm of the random matrix with unit norm rows?

average spectral norm of a random matrix

Proof of two equivalent definitions of the spectral norm

Condition number of a positive definite matrix

Bounds on eigenvalues/trace/singular values of a matrix based on trace/Frobenius norm etc.

Why is the condition $\|Z\| < 1$ equivalent to $I - ZZ^{\top} > 0$?

Upper bounding the largest singular value of a matrix $X$ via LMI — is it correct?

How to prove that the spectral norm is unitarily invariant?

Is there a way to prove that the 2-norm of a matrix is greater than the largest element?

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