List questions from matrix-norms

Published on 19 Aug 2022 - 20:47

38

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Calculating the induced norms of a $2 \times 2$ matrix from defintion.

Published on 20 Aug 2022 - 12:37

90

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Matrix expansion for $x\rightarrow0$

Published on 23 Aug 2022 - 20:18

538

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A dual norm optimization problem

Published on 30 Aug 2022 - 2:37

105

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Vectors where $L^{1}$ norm of a matrix is greater than $L^{∞} $ norm

Published on 09 Sep 2022 - 5:32

35

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$\|P_X-P_Y\|_2=\|(1-P_Y)P_X\|_2$

Published on 13 Sep 2022 - 4:33

97

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$1\le p,q \le \infty$ with $\frac{1}{p}+\frac{1}{q} = 1$ Let $K_p(A) =\|A\|\|A^{-1}\|_p$ then prove that $ K_p(A)=K_q(A^t)$

Published on 14 Sep 2022 - 7:29

147

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Norm of Lower Traingular matrix of a LU decomposition $\|L\|_{\infty}\le n $

Published on 25 Mar 2026 - 17:20

16

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$\lambda_1(x_1^2 +x_2^2) \le a_{11}x_1^2 +a_{22}x_2^2 +2 a_{12}x_1x_2 \le\lambda_n (x_1^2+x_2^2) $. , where

Published on 14 Sep 2022 - 20:26

104

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Bounding the norm of the difference of matrix inverses

Published on 16 Sep 2022 - 17:05

30

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Upper bound for $|(A+E)^{-1}A|$ where $|E|<\epsilon|A|$

Published on 17 Sep 2022 - 15:54

51

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Effect of noise data matrix on SVD

Published on 26 Mar 2026 - 12:34

40

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What is the effect of a noise matrix on the SVD

Published on 23 Feb 2026 - 22:23

101

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Frobenius norm of an invertible matrix

Published on 23 Feb 2026 - 22:22

251

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Induced $\ell^2$ norm for a rank-three tensor

Published on 10 Oct 2022 - 10:58

List Question

Operator norm of stochastic matrices

Calculating the induced norms of a $2 \times 2$ matrix from defintion.

Matrix expansion for $x\rightarrow0$

A dual norm optimization problem

Vectors where $L^{1}$ norm of a matrix is greater than $L^{∞} $ norm

$\|P_X-P_Y\|_2=\|(1-P_Y)P_X\|_2$

$1\le p,q \le \infty$ with $\frac{1}{p}+\frac{1}{q} = 1$ Let $K_p(A) =\|A\|\|A^{-1}\|_p$ then prove that $ K_p(A)=K_q(A^t)$

Norm of Lower Traingular matrix of a LU decomposition $\|L\|_{\infty}\le n $

$\lambda_1(x_1^2 +x_2^2) \le a_{11}x_1^2 +a_{22}x_2^2 +2 a_{12}x_1x_2 \le\lambda_n (x_1^2+x_2^2) $. , where

Bounding the norm of the difference of matrix inverses

Upper bound for $|(A+E)^{-1}A|$ where $|E|<\epsilon|A|$

Effect of noise data matrix on SVD

What is the effect of a noise matrix on the SVD

Frobenius norm of an invertible matrix

Induced $\ell^2$ norm for a rank-three tensor

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