Question

Prove an equation about Frobenius norm

score 87 · Answer 1 · 2023-09-26 09:19:58

87

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Prove an equation about Frobenius norm

Published on 26 Sep 2023 - 9:19

score 48 · Answer 2 · 2023-09-28 15:26:20

48

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Connection between minimum of Frobenius norm of error of low-rank approximation and energy norm of that approximation?

Published on 28 Sep 2023 - 15:26

score 260 · Answer 3 · 2026-03-26 14:19:49

260

Views

Upper bound for Frobenius norm based on spectral radius?

Published on 26 Mar 2026 - 14:19

score 49 · Answer 4 · 2023-10-12 02:03:31

49

Views

Why the 2 norm of symmetric matrix A in bounded by its infinity norm?

Published on 12 Oct 2023 - 2:03

score 33 · Answer 5 · 2023-10-15 19:46:46

33

Views

Can the functions $\|y-A x\|_1$ or $\|y-A x\|_\infty$ ever be affine over $x \geq 0$ given certain structure on $A$?

Published on 15 Oct 2023 - 19:46

score 46 · Answer 6 · 2026-03-26 19:20:12

46

Views

For $m \times n$ matrix $A$ with $m \ge n$, show ${\lVert A^+ \rVert}_2 = 1/\sigma_n$ where $A^+ = (A^A)^{-1} A^$

Published on 26 Mar 2026 - 19:20

score 19 · Answer 7 · 2023-10-17 14:00:02

19

Views

Regarding matrix norm derivation based on supremum calculations

Published on 17 Oct 2023 - 14:00

score 61 · Answer 8 · 2023-10-17 14:55:36

61

Views

Why is the norm of a matrix-vector product less than or equal to the product of the matrix and vector norms?

Published on 17 Oct 2023 - 14:55

score 29 · Answer 9 · 2023-10-20 03:47:27

29

Views

How to find the numerical solution to this convex problem?

Published on 20 Oct 2023 - 3:47

score 32 · Answer 10 · 2023-10-23 20:38:21

32

Views

Induced Matrix norm of ||$\alpha$I||

Published on 23 Oct 2023 - 20:38

score 55 · Answer 11 · 2023-10-24 08:58:17

55

Views

Under which condition if $||UV||_{F}$ is small then we can deduce that $||U||_{F}||V||_{F}$ is also small?

Published on 24 Oct 2023 - 8:58

score 214 · Answer 12 · 2023-10-24 16:31:47

214

Views

How to understand the $\infty$-Wasserstein distance

Published on 24 Oct 2023 - 16:31

score 64 · Answer 13 · 2026-03-25 19:06:31

64

Views

What is the second derivative of the spectral norm of a symmetric matrix?

Published on 25 Mar 2026 - 19:06

score 62 · Answer 14 · 2023-10-26 14:07:29

62

Views

Prove that $1 \leq \|A^{-1}\| _2\|A-B\|_2$

Published on 26 Oct 2023 - 14:07

score 47 · Answer 15 · 2023-10-26 15:27:48

47

Views

Induced norm problem

Published on 26 Oct 2023 - 15:27

List Question

Prove an equation about Frobenius norm

Connection between minimum of Frobenius norm of error of low-rank approximation and energy norm of that approximation?

Upper bound for Frobenius norm based on spectral radius?

Why the 2 norm of symmetric matrix A in bounded by its infinity norm?

Can the functions $\|y-A x\|_1$ or $\|y-A x\|_\infty$ ever be affine over $x \geq 0$ given certain structure on $A$?

For $m \times n$ matrix $A$ with $m \ge n$, show ${\lVert A^+ \rVert}_2 = 1/\sigma_n$ where $A^+ = (A^A)^{-1} A^$

Regarding matrix norm derivation based on supremum calculations

Why is the norm of a matrix-vector product less than or equal to the product of the matrix and vector norms?

How to find the numerical solution to this convex problem?

Induced Matrix norm of ||$\alpha$I||

Under which condition if $||UV||_{F}$ is small then we can deduce that $||U||_{F}||V||_{F}$ is also small?

How to understand the $\infty$-Wasserstein distance

What is the second derivative of the spectral norm of a symmetric matrix?

Prove that $1 \leq \|A^{-1}\| _2\|A-B\|_2$

Induced norm problem

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