Question

Can a perturbation of a matrix product always be represented as product of perturbations of its factor matrices?

score 280 · Answer 1 · 2026-03-26 23:10:41

280

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Can a perturbation of a matrix product always be represented as product of perturbations of its factor matrices?

Published on 26 Mar 2026 - 23:10

score 816 · Answer 2 · 2026-03-26 16:07:08

816

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Jacobian of the change of variables by QR decomposition $A = QR$

Published on 26 Mar 2026 - 16:07

score 63 · Answer 3 · 2017-03-22 06:40:22

63

Views

Eigen Vectors and Eigen Values for an indicator random variable matrix

Published on 22 Mar 2017 - 6:40

score 361 · Answer 4 · 2017-03-31 07:04:19

361

Views

What does the "hard edge" and the "soft edge" of a spectrum refer to?

Published on 31 Mar 2017 - 7:04

score 85 · Answer 5 · 2026-03-25 12:12:14

85

Views

Randomly generated pairwise matrices

Published on 25 Mar 2026 - 12:12

score 863 · Answer 6 · 2017-04-06 17:51:10

863

Views

Using QR decomposition to generate small random rotations?

Published on 06 Apr 2017 - 17:51

score 64 · Answer 7 · 2023-02-06 00:15:59

64

Views

Eigenvectors of large low-rank plus random asymmetric square matrix?

Published on 06 Feb 2023 - 0:15

score 22 · Answer 8 · 2023-02-06 15:29:08

22

Views

References which discuss the phenomenon of zero eigenvalue clustering for the Marcenko-Pastur distribution

Published on 06 Feb 2023 - 15:29

score 114 · Answer 9 · 2023-02-17 13:35:55

114

Views

Cauchy-Schwarz inequality for matrices

Published on 17 Feb 2023 - 13:35

score 65 · Answer 10 · 2023-02-17 16:38:21

65

Views

Bernstein-type inequality for random variables with bounded moments

Published on 17 Feb 2023 - 16:38

score 49 · Answer 11 · 2023-02-19 03:18:50

49

Views

Double asymptotic proof: $\mathbf{x}_n \to_d\mathbf{z}\implies\frac{1}{p}\mathbf{x}_n^\top\mathbf{x}_n\to 1$ as $(p,n) \to (\infty, \infty)$

Published on 19 Feb 2023 - 3:18

score 38 · Answer 12 · 2023-02-19 05:42:58

38

Views

Double asymptotics: $E\|\mathbf{x}_n-\mathbf{z}\|_{\infty}^2 \to 0 \implies p^{-1}\mathbf{x}_n^\top\mathbf{x}_n\to 1$ as $(p,n) \to (\infty, \infty)$

Published on 19 Feb 2023 - 5:42

score 43 · Answer 13 · 2023-02-20 20:47:25

43

Views

Distribution of Double Normalized Gaussian Matrix

Published on 20 Feb 2023 - 20:47

score 52 · Answer 14 · 2023-02-22 04:36:41

52

Views

Spectral norms of Wishart matrices

Published on 22 Feb 2023 - 4:36

score 76 · Answer 15 · 2026-03-25 13:59:40

76

Views

Weighted sum over integer partitions involving hook lengths

Published on 25 Mar 2026 - 13:59

List Question

Can a perturbation of a matrix product always be represented as product of perturbations of its factor matrices?

Jacobian of the change of variables by QR decomposition $A = QR$

Eigen Vectors and Eigen Values for an indicator random variable matrix

What does the "hard edge" and the "soft edge" of a spectrum refer to?

Randomly generated pairwise matrices

Using QR decomposition to generate small random rotations?

Eigenvectors of large low-rank plus random asymmetric square matrix?

References which discuss the phenomenon of zero eigenvalue clustering for the Marcenko-Pastur distribution

Cauchy-Schwarz inequality for matrices

Bernstein-type inequality for random variables with bounded moments

Double asymptotic proof: $\mathbf{x}_n \to_d\mathbf{z}\implies\frac{1}{p}\mathbf{x}_n^\top\mathbf{x}_n\to 1$ as $(p,n) \to (\infty, \infty)$

Double asymptotics: $E\|\mathbf{x}_n-\mathbf{z}\|_{\infty}^2 \to 0 \implies p^{-1}\mathbf{x}_n^\top\mathbf{x}_n\to 1$ as $(p,n) \to (\infty, \infty)$

Distribution of Double Normalized Gaussian Matrix

Spectral norms of Wishart matrices

Weighted sum over integer partitions involving hook lengths

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