List questions from singular-values

Published on 24 Mar 2026 - 23:45

491

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Can we choose smoothly the singular vectors of a matrix?

Published on 25 Mar 2026 - 9:38

74

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Eigenvalue of product of a matrix with a non negative matrix.

Published on 29 Mar 2019 - 9:14

42

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Applications where weighted singular values are useful

Published on 25 Mar 2026 - 22:09

50

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bounding $\|A^K x\|_2$ more tightly than $\|A\|^k_{op} \|x\|$ when $\rho(A) < 1$

Published on 25 Mar 2026 - 9:27

219

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Do matrices $\mathbf{A A}^H$ and $\mathbf{A}^H \mathbf{A}$ have the same eigenvalues?

Published on 10 Apr 2019 - 1:37

87

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Singular points of a matrix when the entries are restriced to a Lie Group

Published on 17 Apr 2019 - 7:15

171

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Does the domain where a harmonic map is conformal has Hausdorff dimension smaller than one?

Published on 25 Mar 2026 - 10:55

53

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If $A \in C^{nxn}$ , $A \ge 0 $ and A is sing., there exists a sequence of matrices $C_k$, that $C_k \ge 0$,$|C_k| = 1$ and trace $AC_k \le 1/k$

Published on 23 Apr 2019 - 12:41

66

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Show that $\min_X \|X\|_2 = \frac{1}{\sigma_1}$

Published on 25 Mar 2026 - 20:41

277

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What is the SVD of the 1x1 matrix with entry $-1$?

Published on 25 Apr 2019 - 4:43

100

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Given $A$ non-singular, find $E$ with minimal $\sigma_{\mathrm{max}}(E)$ such that $A+E$ is singular

Published on 25 Mar 2026 - 9:23

40

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Change the coefficients in matrix decomposition

Published on 25 Apr 2019 - 22:08

39

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Singular Values of an $n$ dimensional matrix

Published on 29 Apr 2019 - 14:00

492

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If the singular values of an $n{\times}n$ matrix $A$ are all $1$, is $A$ necessarily orthogonal?

Published on 11 May 2019 - 20:04

List Question

Submultiplicavity of spectral norm

Can we choose smoothly the singular vectors of a matrix?

Eigenvalue of product of a matrix with a non negative matrix.

Applications where weighted singular values are useful

bounding $\|A^K x\|_2$ more tightly than $\|A\|^k_{op} \|x\|$ when $\rho(A) < 1$

Do matrices $\mathbf{A A}^H$ and $\mathbf{A}^H \mathbf{A}$ have the same eigenvalues?

Singular points of a matrix when the entries are restriced to a Lie Group

Does the domain where a harmonic map is conformal has Hausdorff dimension smaller than one?

If $A \in C^{nxn}$ , $A \ge 0 $ and A is sing., there exists a sequence of matrices $C_k$, that $C_k \ge 0$,$|C_k| = 1$ and trace $AC_k \le 1/k$

Show that $\min_X \|X\|_2 = \frac{1}{\sigma_1}$

What is the SVD of the 1x1 matrix with entry $-1$?

Given $A$ non-singular, find $E$ with minimal $\sigma_{\mathrm{max}}(E)$ such that $A+E$ is singular

Change the coefficients in matrix decomposition

Singular Values of an $n$ dimensional matrix

If the singular values of an $n{\times}n$ matrix $A$ are all $1$, is $A$ necessarily orthogonal?

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