Question

How to Calculate the norm of a matrix transform from $(R^n,\|\cdot\|_{\infty})$ to $(R^n,\|\cdot\|_{1})$

score 128 · Answer 1 · 2026-03-25 09:18:53

128

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How to Calculate the norm of a matrix transform from $(R^n,\|\cdot\|_{\infty})$ to $(R^n,\|\cdot\|_{1})$

Published on 25 Mar 2026 - 9:18

score 23 · Answer 2 · 2026-03-25 03:00:32

23

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$\|A\|_2 \le \|b\|_2 \Rightarrow |b^TAb| \le \|b\|_2^3$

Published on 25 Mar 2026 - 3:00

score 713 · Answer 3 · 2019-06-20 06:29:37

713

Views

Trace inequality related to the product of three matrices

Published on 20 Jun 2019 - 6:29

score 73 · Answer 4 · 2026-03-25 01:20:32

73

Views

Bounding the size of the inverse of $I+AB$ when $A$ and $B$ are both PSD

Published on 25 Mar 2026 - 1:20

score 140 · Answer 5 · 2019-06-27 23:27:11

140

Views

Do we have for all $M \in SL_n(\Bbb K)$, $\lVert M \rVert \geq 1$ when $\lVert \cdot \rVert$ is a matrix norm?

Published on 27 Jun 2019 - 23:27

score 872 · Answer 6 · 2019-06-28 06:53:03

872

Views

What is the physical meaning of the sum of entries of the Hadamard product of two matrices?

Published on 28 Jun 2019 - 6:53

score 88 · Answer 7 · 2026-03-25 06:12:20

88

Views

Bound on the moment of Schatten norm

Published on 25 Mar 2026 - 6:12

score 56 · Answer 8 · 2019-06-29 23:51:32

56

Views

Let ${y(x)}$ be the general solution of $y'(x) = A_{n \times n}(x) y(x)+f (x),$ I want to show the next inequality.

Published on 29 Jun 2019 - 23:51

score 158 · Answer 9 · 2026-03-25 04:43:28

158

Views

How to prove the lower bound of the amount of perturbation on nuclear norm after scaling a matrix?

Published on 25 Mar 2026 - 4:43

score 489 · Answer 10 · 2019-07-06 10:35:34

489

Views

Operator norm of rectangular $(m \times n)$-matrix with $m < n$ orthonormal rows?

Published on 06 Jul 2019 - 10:35

score 125 · Answer 11 · 2019-07-09 13:25:09

125

Views

Matrix norm of orthogonal matrices induced by $p$-norms

Published on 09 Jul 2019 - 13:25

score 40 · Answer 12 · 2019-07-15 03:24:46

40

Views

Bound on matrix norms

Published on 15 Jul 2019 - 3:24

score 95 · Answer 13 · 2019-07-26 10:06:44

95

Views

Bounding the Frobenius norm of orthogonalised matrices

Published on 26 Jul 2019 - 10:06

score 76 · Answer 14 · 2026-03-25 04:35:01

76

Views

An example for almost commuting matrices

Published on 25 Mar 2026 - 4:35

score 475 · Answer 15 · 2026-03-25 06:05:17

475

Views

What are some lesser known unitary invariant norms for matrices?

Published on 25 Mar 2026 - 6:05

List Question

How to Calculate the norm of a matrix transform from $(R^n,\|\cdot\|_{\infty})$ to $(R^n,\|\cdot\|_{1})$

$\|A\|_2 \le \|b\|_2 \Rightarrow |b^TAb| \le \|b\|_2^3$

Trace inequality related to the product of three matrices

Bounding the size of the inverse of $I+AB$ when $A$ and $B$ are both PSD

Do we have for all $M \in SL_n(\Bbb K)$, $\lVert M \rVert \geq 1$ when $\lVert \cdot \rVert$ is a matrix norm?

What is the physical meaning of the sum of entries of the Hadamard product of two matrices?

Bound on the moment of Schatten norm

Let ${y(x)}$ be the general solution of $y'(x) = A_{n \times n}(x) y(x)+f (x),$ I want to show the next inequality.

How to prove the lower bound of the amount of perturbation on nuclear norm after scaling a matrix?

Operator norm of rectangular $(m \times n)$-matrix with $m < n$ orthonormal rows?

Matrix norm of orthogonal matrices induced by $p$-norms

Bound on matrix norms

Bounding the Frobenius norm of orthogonalised matrices

An example for almost commuting matrices

What are some lesser known unitary invariant norms for matrices?

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