Question

Proving a norm limit based on Schur factorization

score 264 · Answer 1 · 2022-02-25 20:49:26

264

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Proving a norm limit based on Schur factorization

Published on 25 Feb 2022 - 20:49

score 463 · Answer 2 · 2022-03-09 13:40:12

463

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Bounding spectral radius of special matrix

Published on 09 Mar 2022 - 13:40

score 354 · Answer 3 · 2022-03-15 09:42:44

354

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Convergence of matrix with spectral radius 1

Published on 15 Mar 2022 - 9:42

score 333 · Answer 4 · 2022-03-17 11:03:25

333

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Bounding spectral radius of special matrix (extension)

Published on 17 Mar 2022 - 11:03

score 125 · Answer 5 · 2022-04-05 02:30:44

125

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Checking a possible corollary of Gelfand's formula

Published on 05 Apr 2022 - 2:30

score 107 · Answer 6 · 2026-03-25 22:10:59

107

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Spectral radius of a specific matrix multiplied by a diagonal matrix $D=diag(\mathrm{e}^{i\alpha_1},...\mathrm{e}^{i\alpha_n})$

Published on 25 Mar 2026 - 22:10

score 35 · Answer 7 · 2022-04-12 21:45:18

Given a family $A$ of $2\times 2$ matrices, $\rho(A)<1$ (JSR) if and only if there is a norm on $\mathbb{R}^2$ s.t each matrix in $A$ is contracting

score 66 · Answer 8 · 2022-04-16 17:17:39

66

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I don't understand our proof for "The spectral radius of a normal operator $A$ is equal to the norm of $A$", it's different to what I've found here

Published on 16 Apr 2022 - 17:17

score 432 · Answer 9 · 2022-04-19 09:01:42

432

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Bounding spectral radius of special matrix (extension of the extension)

Published on 19 Apr 2022 - 9:01

score 88 · Answer 10 · 2022-04-20 22:44:09

88

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Size of essential spectrum if $T-\lambda$ is not injective for all $\lambda$ in the essential spectrum.

Published on 20 Apr 2022 - 22:44

score 104 · Answer 11 · 2022-04-26 05:10:32

104

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Spectral radius for block matrix with zero columns

Published on 26 Apr 2022 - 5:10

score 19 · Answer 12 · 2022-05-16 18:16:13

19

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Spectral radius and maximum degree of a graph

Published on 16 May 2022 - 18:16

score 110 · Answer 13 · 2026-03-25 22:04:24

110

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how can I prove ${\lambda _n}\left( {{X^T}AX} \right) \leqslant \left\| X \right\|_F^2{\lambda _n}\left( A \right)$ where $A$ is a PD matrix

Published on 25 Mar 2026 - 22:04

score 68 · Answer 14 · 2022-07-11 18:14:33

68

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Arbitrary increasing spectral radius by adding a matrix

Published on 11 Jul 2022 - 18:14

score 63 · Answer 15 · 2026-02-24 15:22:18

63

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Inequality in Conjugate gradient method for solving linear system

Published on 24 Feb 2026 - 15:22

List Question

Proving a norm limit based on Schur factorization

Bounding spectral radius of special matrix

Convergence of matrix with spectral radius 1

Bounding spectral radius of special matrix (extension)

Checking a possible corollary of Gelfand's formula

Spectral radius of a specific matrix multiplied by a diagonal matrix $D=diag(\mathrm{e}^{i\alpha_1},...\mathrm{e}^{i\alpha_n})$

Given a family $A$ of $2\times 2$ matrices, $\rho(A)<1$ (JSR) if and only if there is a norm on $\mathbb{R}^2$ s.t each matrix in $A$ is contracting

I don't understand our proof for "The spectral radius of a normal operator $A$ is equal to the norm of $A$", it's different to what I've found here

Bounding spectral radius of special matrix (extension of the extension)

Size of essential spectrum if $T-\lambda$ is not injective for all $\lambda$ in the essential spectrum.

Spectral radius for block matrix with zero columns

Spectral radius and maximum degree of a graph

how can I prove ${\lambda _n}\left( {{X^T}AX} \right) \leqslant \left\| X \right\|_F^2{\lambda _n}\left( A \right)$ where $A$ is a PD matrix

Arbitrary increasing spectral radius by adding a matrix

Inequality in Conjugate gradient method for solving linear system

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