Question

Eigenvalue of the 'norm' matrix

score 87 · Answer 1 · 2023-10-28 02:21:38

87

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Eigenvalue of the 'norm' matrix

Published on 28 Oct 2023 - 2:21

score 53 · Answer 2 · 2026-02-23 06:23:13

53

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relative error of p-norm of a perturbated matrix

Published on 23 Feb 2026 - 6:23

score 45 · Answer 3 · 2023-10-31 14:39:11

45

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Upper bounding the infinity norm of a quantity involving semi-unitary matrices

Published on 31 Oct 2023 - 14:39

score 28 · Answer 4 · 2023-11-01 16:19:22

28

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The upper bound and lower bound of $\left\| A \right\|_{F}^{2} + \left\| B \right\|_{F}^{2} $

Published on 01 Nov 2023 - 16:19

score 78 · Answer 5 · 2023-11-02 10:58:32

78

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Concentration of the Norm of Sub-Gaussian Random Matrix

Published on 02 Nov 2023 - 10:58

score 58 · Answer 6 · 2026-03-26 14:34:48

58

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Let $P\geq0$, $P\in\mathbb{R}^{n\times n}$. For every $A\in\mathbb{R}^{n\times n}$ there exists $c\geq0$: $A^\top P+PA\leq cP$.

Published on 26 Mar 2026 - 14:34

score 41 · Answer 7 · 2026-03-26 04:53:12

41

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The 2-norm of matrix of a matrix (related to the second-largest singular value)

Published on 26 Mar 2026 - 4:53

score 47 · Answer 8 · 2023-11-09 16:54:20

47

Views

Let $P>0$, $P\in\mathbb{R}^{n\times n}$. For every $A\in\mathbb{R}^{n\times n}$ there exists $c>0$: $A^\top P+PA\leq cP$.

Published on 09 Nov 2023 - 16:54

score 45 · Answer 9 · 2023-11-11 14:37:39

45

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If $A$ is non-singular (invertible) and $A+E$ is singular (not-invertible) show $K_p(A)\geq \dfrac{||A||_p}{||E||_p}$

Published on 11 Nov 2023 - 14:37

score 129 · Answer 10 · 2023-11-11 15:16:49

129

Views

When is the largest singular value is strictly greater than all eigenvalues?

Published on 11 Nov 2023 - 15:16

score 39 · Answer 11 · 2023-11-11 21:51:08

39

Views

Show $||yx^T||_2=||y||_2||x||_2$ for some $x, y\in \mathbb{R}^n$

Published on 11 Nov 2023 - 21:51

score 14 · Answer 12 · 2026-03-02 17:13:59

14

Views

What type of rotational invariance information can I get from interest points (coordinates) of corners from an image?

Published on 02 Mar 2026 - 17:13

score 68 · Answer 13 · 2023-11-15 01:31:06

68

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$\Vert A \Vert _{op} \le \max_{1 \le i \le d} \sum_{j = 1}^d |A_{i,j}|$

Published on 15 Nov 2023 - 1:31

score 39 · Answer 14 · 2023-11-16 12:10:26

39

Views

Power of square matrices: decay rate

Published on 16 Nov 2023 - 12:10

score 61 · Answer 15 · 2023-11-16 22:04:38

61

Views

Determinant inequality in terms of operator norm

Published on 16 Nov 2023 - 22:04

List Question

Eigenvalue of the 'norm' matrix

relative error of p-norm of a perturbated matrix

Upper bounding the infinity norm of a quantity involving semi-unitary matrices

The upper bound and lower bound of $\left\| A \right\|_{F}^{2} + \left\| B \right\|_{F}^{2} $

Concentration of the Norm of Sub-Gaussian Random Matrix

Let $P\geq0$, $P\in\mathbb{R}^{n\times n}$. For every $A\in\mathbb{R}^{n\times n}$ there exists $c\geq0$: $A^\top P+PA\leq cP$.

The 2-norm of matrix of a matrix (related to the second-largest singular value)

Let $P>0$, $P\in\mathbb{R}^{n\times n}$. For every $A\in\mathbb{R}^{n\times n}$ there exists $c>0$: $A^\top P+PA\leq cP$.

If $A$ is non-singular (invertible) and $A+E$ is singular (not-invertible) show $K_p(A)\geq \dfrac{||A||_p}{||E||_p}$

When is the largest singular value is strictly greater than all eigenvalues?

Show $||yx^T||_2=||y||_2||x||_2$ for some $x, y\in \mathbb{R}^n$

What type of rotational invariance information can I get from interest points (coordinates) of corners from an image?

$\Vert A \Vert _{op} \le \max_{1 \le i \le d} \sum_{j = 1}^d |A_{i,j}|$

Power of square matrices: decay rate

Determinant inequality in terms of operator norm

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