Question

If $\langle A_kx,y\rangle$ is bounded for all fixed $x,y$, does it follow that $\Vert A_k\Vert$ is bounded?

score 48 · Answer 1 · 2023-11-05 23:13:11

48

Views

If $\langle A_kx,y\rangle$ is bounded for all fixed $x,y$, does it follow that $\Vert A_k\Vert$ is bounded?

Published on 05 Nov 2023 - 23:13

score 85 · Answer 2 · 2023-11-06 15:50:18

85

Views

Derivative of Spectral Radius of Matrix $\exp(A(t))$

Published on 06 Nov 2023 - 15:50

score 59 · Answer 3 · 2023-11-06 23:01:05

59

Views

Spectral radius of a matrix.

Published on 06 Nov 2023 - 23:01

score 104 · Answer 4 · 2023-11-09 17:37:32

104

Views

Showing that the spectrum of the Volterra operators is {0}

Published on 09 Nov 2023 - 17:37

score 55 · Answer 5 · 2026-03-25 04:41:39

55

Views

Spectral Radius of the Convex Combination of Identity Matrix and a Nonnegative Matrix

Published on 25 Mar 2026 - 4:41

score 40 · Answer 6 · 2023-11-16 09:44:44

40

Views

Generalizing the interlacing property of eigenvalues for matrix pencil

Published on 16 Nov 2023 - 9:44

score 101 · Answer 7 · 2026-02-27 18:10:36

101

Views

Lipschitz and the spectral radius

Published on 27 Feb 2026 - 18:10

score 150 · Answer 8 · 2023-11-29 17:05:33

150

Views

Showing matrix C has spectral radius less than 1

Published on 29 Nov 2023 - 17:05

score 15 · Answer 9 · 2023-12-05 21:15:32

15

Views

Smallest $k$ such that $|\langle ABx,x\rangle| \le k\langle Ax,x\rangle$, where $A\ge 0$ and $AB$ self-adjoint

Published on 05 Dec 2023 - 21:15

score 34 · Answer 10 · 2026-03-25 17:33:51

34

Views

How was this bound of the Norm of this Vektor derived? $\|U(x)\|_2^2\le K(x,x)\rho(G_U)$

Published on 25 Mar 2026 - 17:33

score 104 · Answer 11 · 2023-12-17 14:18:41

104

Views

Convex combination of nonnegative matrices, simplicity of second largest eigenvalue

Published on 17 Dec 2023 - 14:18

score 45 · Answer 12 · 2023-12-22 00:39:45

45

Views

Understanding Linearity in Spectral Radius: $\rho(\alpha^2(AA^T)^2 - 2\alpha AA^T + I)$ Expression

Published on 22 Dec 2023 - 0:39

score 92 · Answer 13 · 2024-01-09 09:40:36

92

Views

Spectral radius of $I-KH$, where $K$ is a Kalman gain

Published on 09 Jan 2024 - 9:40

score 82 · Answer 14 · 2024-02-13 11:51:30

82

Views

Confusion related to Spectral radius of a matrix

Published on 13 Feb 2024 - 11:51

score 81 · Answer 15 · 2024-03-12 11:13:58

81

Views

Is it true that the spectral radius is always less or equal to any matrix norm?

Published on 12 Mar 2024 - 11:13

List Question

If $\langle A_kx,y\rangle$ is bounded for all fixed $x,y$, does it follow that $\Vert A_k\Vert$ is bounded?

Derivative of Spectral Radius of Matrix $\exp(A(t))$

Spectral radius of a matrix.

Showing that the spectrum of the Volterra operators is {0}

Spectral Radius of the Convex Combination of Identity Matrix and a Nonnegative Matrix

Generalizing the interlacing property of eigenvalues for matrix pencil

Lipschitz and the spectral radius

Showing matrix C has spectral radius less than 1

Smallest $k$ such that $|\langle ABx,x\rangle| \le k\langle Ax,x\rangle$, where $A\ge 0$ and $AB$ self-adjoint

How was this bound of the Norm of this Vektor derived? $\|U(x)\|_2^2\le K(x,x)\rho(G_U)$

Convex combination of nonnegative matrices, simplicity of second largest eigenvalue

Understanding Linearity in Spectral Radius: $\rho(\alpha^2(AA^T)^2 - 2\alpha AA^T + I)$ Expression

Spectral radius of $I-KH$, where $K$ is a Kalman gain

Confusion related to Spectral radius of a matrix

Is it true that the spectral radius is always less or equal to any matrix norm?

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