Question

Is the $k$-th elementary symmetric polynomial of the singular values the nuclear norm of the $k$-th alternating power of the matrix?

score 33 · Answer 1 · 2023-05-27 03:08:39

33

Views

Is the $k$-th elementary symmetric polynomial of the singular values the nuclear norm of the $k$-th alternating power of the matrix?

Published on 27 May 2023 - 3:08

score 222 · Answer 2 · 2023-07-17 12:30:35

222

Views

Prove $ \| {\bf A}^2\|_* \leq \operatorname{tr}({\bf A}^\dagger {\bf A})$

Published on 17 Jul 2023 - 12:30

score 67 · Answer 3 · 2026-03-20 04:03:33

67

Views

Relationship between trace norm (a.k.a. Schatten-1 norm) of a matrix and the vector norm of the matrix's row average?

Published on 20 Mar 2026 - 4:03

score 47 · Answer 4 · 2026-03-20 04:03:09

47

Views

Nuclear norm of matrix comprised of points sampled uniformly at random from the hypersphere?

Published on 20 Mar 2026 - 4:03

score 49 · Answer 5 · 2024-02-05 18:59:41

49

Views

What is the nuclear/trace norm of a single block matrix?

Published on 05 Feb 2024 - 18:59

score 1.9k · Answer 6 · 2015-01-10 19:49:12

1.9k

Views

How can I visualize the nuclear norm ball?

Published on 10 Jan 2015 - 19:49

score 74 · Answer 7 · 2015-01-14 16:56:31

74

Views

The relation between $\inf_{R\in \mathsf{U}_n} \left\Vert A - BR\right\Vert^2_F$ and $\left\Vert AA^-BB^\right\Vert$

Published on 14 Jan 2015 - 16:56

score 2.5k · Answer 8 · 2015-02-01 02:07:30

2.5k

Views

Optimization of Frobenius norm and nuclear norm

Published on 01 Feb 2015 - 2:07

score 2.3k · Answer 9 · 2015-02-09 10:20:56

2.3k

Views

Rank, nuclear and Frobenius norms of a matrix

Published on 09 Feb 2015 - 10:20

score 12.7k · Answer 10 · 2015-02-10 19:47:55

12.7k

Views

Prove that the nuclear norm is convex

Published on 10 Feb 2015 - 19:47

score 1.3k · Answer 11 · 2015-02-20 15:56:06

1.3k

Views

What is this norm $\|A\|_*$ called and what is it?

Published on 20 Feb 2015 - 15:56

score 11.9k · Answer 12 · 2015-02-21 13:08:08

11.9k

Views

Show that the dual norm of the spectral norm is the nuclear norm

Published on 21 Feb 2015 - 13:08

score 767 · Answer 13 · 2026-02-23 22:02:54

767

Views

Proximal operator for the nuclear matrix norm of Hankel matrix

Published on 23 Feb 2026 - 22:02

score 184 · Answer 14 · 2015-04-13 04:25:59

184

Views

How to get derivative of this matrix function?

Published on 13 Apr 2015 - 4:25

score 413 · Answer 15 · 2026-02-23 06:18:35

413

Views

Matrix weighted least-squares with nuclear norm regularization

Published on 23 Feb 2026 - 6:18

List Question

Is the $k$-th elementary symmetric polynomial of the singular values the nuclear norm of the $k$-th alternating power of the matrix?

Prove $ \| {\bf A}^2\|_* \leq \operatorname{tr}({\bf A}^\dagger {\bf A})$

Relationship between trace norm (a.k.a. Schatten-1 norm) of a matrix and the vector norm of the matrix's row average?

Nuclear norm of matrix comprised of points sampled uniformly at random from the hypersphere?

What is the nuclear/trace norm of a single block matrix?

How can I visualize the nuclear norm ball?

The relation between $\inf_{R\in \mathsf{U}_n} \left\Vert A - BR\right\Vert^2_F$ and $\left\Vert AA^-BB^\right\Vert$

Optimization of Frobenius norm and nuclear norm

Rank, nuclear and Frobenius norms of a matrix

Prove that the nuclear norm is convex

What is this norm $\|A\|_*$ called and what is it?

Show that the dual norm of the spectral norm is the nuclear norm

Proximal operator for the nuclear matrix norm of Hankel matrix

How to get derivative of this matrix function?

Matrix weighted least-squares with nuclear norm regularization

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