Question

Condition number on perturbations cannot cancel $||x||$ in inequality.

score 84 · Answer 1 · 2026-03-25 22:23:40

84

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Condition number on perturbations cannot cancel $||x||$ in inequality.

Published on 25 Mar 2026 - 22:23

score 1.3k · Answer 2 · 2020-12-31 22:43:08

1.3k

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Is the 2-norm of a matrix bounded by the maximum of its 1-norm and Infinity-norm?

Published on 31 Dec 2020 - 22:43

score 283 · Answer 3 · 2026-03-26 10:58:02

283

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Second-largest singular value of a row-stochastic matrix

Published on 26 Mar 2026 - 10:58

score 352 · Answer 4 · 2021-01-04 23:31:37

352

Views

Prove formula of matrix norm $\|A\|$

Published on 04 Jan 2021 - 23:31

score 298 · Answer 5 · 2021-01-13 21:14:59

298

Views

Operator norm and eigenvalues

Published on 13 Jan 2021 - 21:14

score 1k · Answer 6 · 2026-03-26 22:53:17

1k

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Showing the spectral radius is smaller than the induced norm

Published on 26 Mar 2026 - 22:53

score 90 · Answer 7 · 2021-01-30 03:31:12

90

Views

Obtain B to minimize $\|\boldsymbol{X}-\boldsymbol{B}\|_{\boldsymbol{F}}^{2}$ with constraint on the spectral norm of B to be ≤ 1

Published on 30 Jan 2021 - 3:31

score 32 · Answer 8 · 2021-01-31 11:24:00

32

Views

Inequality using Operator norm with differential of Matrix Function

Published on 31 Jan 2021 - 11:24

score 109 · Answer 9 · 2021-02-03 16:46:25

109

Views

Euclidean norm between the difference of two matrices $| B^{i+1} - B^{i} |_2$

Published on 03 Feb 2021 - 16:46

score 58 · Answer 10 · 2021-02-03 20:33:45

58

Views

Show that $\frac12\|A\|_2\leq \sup_{\|u\|_2=1}|u^HAu|$.

Published on 03 Feb 2021 - 20:33

score 336 · Answer 11 · 2021-02-04 01:38:05

336

Views

maximum absolute column sum (column norm) of a matrix and its largest eigenvalue

Published on 04 Feb 2021 - 1:38

score 371 · Answer 12 · 2026-03-25 17:43:52

371

Views

$2$-norm of matrix absolute norm

Published on 25 Mar 2026 - 17:43

score 367 · Answer 13 · 2021-02-04 20:52:56

367

Views

Fenchel-Young inequality for matrices

Published on 04 Feb 2021 - 20:52

score 52 · Answer 14 · 2021-02-10 21:15:59

52

Views

The spectrum norm of difference of two matrix converging to 0

Published on 10 Feb 2021 - 21:15

score 43 · Answer 15 · 2021-02-11 21:33:46

43

Views

$ \min _{\operatorname{rank}\{\boldsymbol{B}\}=\boldsymbol{k}<r=rank(A)}\|\boldsymbol{A}-B\|_{2} ,A,B \in \mathbb{C}^{m \times n}$ and A is given

Published on 11 Feb 2021 - 21:33

List Question

Condition number on perturbations cannot cancel $||x||$ in inequality.

Is the 2-norm of a matrix bounded by the maximum of its 1-norm and Infinity-norm?

Second-largest singular value of a row-stochastic matrix

Prove formula of matrix norm $\|A\|$

Operator norm and eigenvalues

Showing the spectral radius is smaller than the induced norm

Obtain B to minimize $\|\boldsymbol{X}-\boldsymbol{B}\|_{\boldsymbol{F}}^{2}$ with constraint on the spectral norm of B to be ≤ 1

Inequality using Operator norm with differential of Matrix Function

Euclidean norm between the difference of two matrices $| B^{i+1} - B^{i} |_2$

Show that $\frac12\|A\|_2\leq \sup_{\|u\|_2=1}|u^HAu|$.

maximum absolute column sum (column norm) of a matrix and its largest eigenvalue

$2$-norm of matrix absolute norm

Fenchel-Young inequality for matrices

The spectrum norm of difference of two matrix converging to 0

$ \min _{\operatorname{rank}\{\boldsymbol{B}\}=\boldsymbol{k}<r=rank(A)}\|\boldsymbol{A}-B\|_{2} ,A,B \in \mathbb{C}^{m \times n}$ and A is given

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