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 34 · Answer 1 · 2026-03-25 07:46:31

34

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 25 Mar 2026 - 7:46

score 223 · Answer 2 · 2026-03-25 06:04:54

223

Views

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

Published on 25 Mar 2026 - 6:04

score 68 · Answer 3 · 2026-05-04 16:21:35

68

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 04 May 2026 - 16:21

score 48 · Answer 4 · 2026-05-04 16:20:39

48

Views

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

Published on 04 May 2026 - 16:20

score 50 · Answer 5 · 2026-03-25 07:48:30

50

Views

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

Published on 25 Mar 2026 - 7:48

score 1.9k · Answer 6 · 2026-03-25 06:08:32

1.9k

Views

How can I visualize the nuclear norm ball?

Published on 25 Mar 2026 - 6:08

score 75 · Answer 7 · 2026-03-25 06:05:32

75

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 25 Mar 2026 - 6:05

score 2.5k · Answer 8 · 2026-03-25 06:03:59

2.5k

Views

Optimization of Frobenius norm and nuclear norm

Published on 25 Mar 2026 - 6:03

score 2.3k · Answer 9 · 2026-03-25 06:04:19

2.3k

Views

Rank, nuclear and Frobenius norms of a matrix

Published on 25 Mar 2026 - 6:04

score 12.7k · Answer 10 · 2026-03-25 06:02:33

12.7k

Views

Prove that the nuclear norm is convex

Published on 25 Mar 2026 - 6:02

score 1.3k · Answer 11 · 2026-04-07 18:35:48

1.3k

Views

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

Published on 07 Apr 2026 - 18:35

score 11.9k · Answer 12 · 2026-03-25 06:06:59

11.9k

Views

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

Published on 25 Mar 2026 - 6:06

score 768 · Answer 13 · 2026-04-11 19:57:17

768

Views

Proximal operator for the nuclear matrix norm of Hankel matrix

Published on 11 Apr 2026 - 19:57

score 185 · Answer 14 · 2026-03-25 06:08:16

185

Views

How to get derivative of this matrix function?

Published on 25 Mar 2026 - 6:08

score 414 · Answer 15 · 2026-04-09 11:57:26

414

Views

Matrix weighted least-squares with nuclear norm regularization

Published on 09 Apr 2026 - 11:57

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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