List questions from matrix-norms

Published on 23 Nov 2020 - 21:36

49

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Using $\|V_1 V_1^\star - V_2 V_2^\star\|_\infty$ to bound $\|V_1 - V_2\|_\infty$

Published on 26 Mar 2026 - 17:14

128

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Relation between 1-norm of matrix and Euclidean norm of vectors

Published on 25 Mar 2026 - 14:25

1.2k

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Is there a way to prove that the 2-norm of a matrix is greater than the largest element?

Published on 25 Mar 2026 - 19:06

52

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If $|a_{ij}| \leq L$ for all $i,j$, then $\| A \| \leq L\,$?

Published on 04 Dec 2020 - 12:02

593

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Upper bound on norm of Hermitian matrix

Published on 26 Mar 2026 - 16:05

90

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Is the order of convergence of $\|A\|_\infty$ and the order of $\|A^{-1}\|_\infty$ reciprocal?

Published on 07 Dec 2020 - 12:59

63

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Example of a matrix satisfying $\rho(A) < \|A\|$

Published on 26 Mar 2026 - 21:08

34

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Show that the following series is always convergent.

Published on 09 Dec 2020 - 18:42

1.3k

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Bound the minimum eigenvalue of a symmetric matrix via matrix norms

Published on 14 Dec 2020 - 13:54

149

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operator 2 norm and symmetric positive semidefinite matrix

Published on 15 Dec 2020 - 8:58

294

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matrix operator 2 norm inequality involving product of three matrices

Published on 26 Mar 2026 - 4:33

569

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If A is an $m\times n$ matrix, show that $||A||_2 \le \sqrt{||A||_1*||A||_\infty}$

Published on 25 Mar 2026 - 19:05

174

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Contraction on 3x3 matrices?

Published on 22 Dec 2020 - 18:15

1k

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Gradient of least-squares loss function

Published on 27 Dec 2020 - 0:10

List Question

Calculating the norm of shear matrix using polar form

Using $\|V_1 V_1^\star - V_2 V_2^\star\|_\infty$ to bound $\|V_1 - V_2\|_\infty$

Relation between 1-norm of matrix and Euclidean norm of vectors

Is there a way to prove that the 2-norm of a matrix is greater than the largest element?

If $|a_{ij}| \leq L$ for all $i,j$, then $\| A \| \leq L\,$?

Upper bound on norm of Hermitian matrix

Is the order of convergence of $\|A\|_\infty$ and the order of $\|A^{-1}\|_\infty$ reciprocal?

Example of a matrix satisfying $\rho(A) < \|A\|$

Show that the following series is always convergent.

Bound the minimum eigenvalue of a symmetric matrix via matrix norms

operator 2 norm and symmetric positive semidefinite matrix

matrix operator 2 norm inequality involving product of three matrices

If A is an $m\times n$ matrix, show that $||A||_2 \le \sqrt{||A||_1*||A||_\infty}$

Contraction on 3x3 matrices?

Gradient of least-squares loss function

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