List questions from matrix-norms

Published on 02 Aug 2014 - 20:33

7.1k

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Proving definition of norms induced by vector norms

Published on 17 Aug 2014 - 16:23

1.4k

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Proving result on spectral radius

Published on 25 Aug 2014 - 16:37

270

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Is this a matrix operator norm?

Published on 27 Sep 2014 - 15:44

3.6k

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Why are the spectral norms $\|A^{}A\|_2$, $\|AA^{}\|_2$ and $\|A\|_2^2$ equal?

Published on 25 Mar 2026 - 6:04

932

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How to show that $\| QA\|_2=\| A \|_2$ where $Q$ is unitary (for a matrix A)

Published on 25 Mar 2026 - 6:05

481

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On finding the $2$-norm of a matrix

Published on 11 Oct 2019 - 6:27

335

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What is the derivative of $ \|X^TW-Y\|_{2,1}$ w.r.t. $W$? How to compute it?

Published on 19 Oct 2019 - 2:24

83

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An inequality involving spectral norm of a matrix

Published on 24 Mar 2026 - 2:08

1.5k

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If $\mbox{tr} (A^tA)=0$ then $A=0$

Published on 23 Oct 2019 - 19:21

8.5k

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Infinity norm proof

Published on 23 Mar 2026 - 20:03

52

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Intersection over all numerical ranges (fields of values) over all scalar products equals convex hull of spectrum?

Published on 26 Oct 2019 - 23:50

104

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$1$-norm of the inverse of lower Toeplitz-like triangular matrix

Published on 30 Oct 2019 - 13:09

265

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Nearest symmetric matrix with respect to the spectral norm

Published on 30 Oct 2019 - 19:39

74

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Proving/disproving $\|A\|^{-1} = \|A^{-1}\|$ for non-singular $A$

Published on 31 Oct 2019 - 15:41

List Question

Matrix Spectral Radius and Induced Matrix Norms

Proving definition of norms induced by vector norms

Proving result on spectral radius

Is this a matrix operator norm?

Why are the spectral norms $\|A^{}A\|_2$, $\|AA^{}\|_2$ and $\|A\|_2^2$ equal?

How to show that $\| QA\|_2=\| A \|_2$ where $Q$ is unitary (for a matrix A)

On finding the $2$-norm of a matrix

What is the derivative of $ \|X^TW-Y\|_{2,1}$ w.r.t. $W$? How to compute it?

An inequality involving spectral norm of a matrix

If $\mbox{tr} (A^tA)=0$ then $A=0$

Infinity norm proof

Intersection over all numerical ranges (fields of values) over all scalar products equals convex hull of spectrum?

$1$-norm of the inverse of lower Toeplitz-like triangular matrix

Nearest symmetric matrix with respect to the spectral norm

Proving/disproving $\|A\|^{-1} = \|A^{-1}\|$ for non-singular $A$

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