List questions from matrix-norms

Published on 24 Oct 2020 - 19:41

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How to find derivative of squared Frobenius Norm of XX transpose

Published on 26 Oct 2020 - 1:48

50

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Subordiance of $\ell_{\infty}$ norm: $\Vert Ax \Vert_{\infty} \leq \Vert A\Vert_{\infty}\Vert x\Vert_{\infty}$

Published on 27 Oct 2020 - 20:14

224

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Suppose $x \in X$ is a unit vector such that $||A|| = ||Ax||$; show that $A^TAx = ||A||^2 x$.

Published on 03 Nov 2020 - 6:37

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Show that the nuclear norm is a norm

Published on 25 Mar 2026 - 12:48

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Comparison of norms of positive definite matrices

Published on 04 Nov 2020 - 21:21

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Is every matrix norm compatible with a vector norm?

Published on 05 Nov 2020 - 18:19

1.1k

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How to prove that the spectral norm is unitarily invariant?

Published on 25 Mar 2026 - 20:41

123

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Matrix norm inequality with norms less than one

Published on 05 Nov 2020 - 22:21

649

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Expansion of the Frobenius norm

Published on 07 Nov 2020 - 11:23

340

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Why does the Frobenius Norm take the squares of the absolute values?

Published on 07 Nov 2020 - 12:25

48

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Is the matrix norm of this matrix bounded?

Published on 10 Nov 2020 - 5:06

103

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Bound for $\|U_1XU_1^\star- U_2XU_2^\star\|_\infty$ for unitary $U_i$

Published on 26 Mar 2026 - 17:13

30

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How can I minimize $\|A*w\|$ for all w by minimizing $\|A\|$? (dimension of $A: n\times n$, dimension of $w: n\times1$)

Published on 22 Nov 2020 - 7:56

202

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Operator norms and adjoint map: How to show $\lVert\Phi\rVert_{\infty} = \lVert \Phi^*\rVert_1?$

Published on 23 Nov 2020 - 19:45

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Matrix Concentration for Products- Orthogonality Property

How to find derivative of squared Frobenius Norm of XX transpose

Subordiance of $\ell_{\infty}$ norm: $\Vert Ax \Vert_{\infty} \leq \Vert A\Vert_{\infty}\Vert x\Vert_{\infty}$

Suppose $x \in X$ is a unit vector such that $||A|| = ||Ax||$; show that $A^TAx = ||A||^2 x$.

Show that the nuclear norm is a norm

Comparison of norms of positive definite matrices

Is every matrix norm compatible with a vector norm?

How to prove that the spectral norm is unitarily invariant?

Matrix norm inequality with norms less than one

Expansion of the Frobenius norm

Why does the Frobenius Norm take the squares of the absolute values?

Is the matrix norm of this matrix bounded?

Bound for $\|U_1XU_1^\star- U_2XU_2^\star\|_\infty$ for unitary $U_i$

How can I minimize $\|A*w\|$ for all w by minimizing $\|A\|$? (dimension of $A: n\times n$, dimension of $w: n\times1$)

Operator norms and adjoint map: How to show $\lVert\Phi\rVert_{\infty} = \lVert \Phi^*\rVert_1?$

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