List questions from spectral-radius

54

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With basic iterative method $Mx_{k+1} = Nx_k + b$, show that $||x_k-x||_2 \leq \dfrac{\rho(G)}{1-\rho(G)}||x_k-x_{k-1}||_2$

Published on 30 Nov 2019 - 7:38

279

Views

The Volterra operator question in Functional Analysis

Published on 02 Dec 2019 - 14:29

60

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Can you help me with a Spectral and Point Spectrum Problem

Published on 03 Dec 2019 - 5:06

205

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Show that $A^4=A^2$ for an adjacency matrix with spectral radius $\leq1$

Published on 25 Mar 2026 - 11:06

402

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Prove that the eigenvalue with largest absolute value is positive and real

Published on 23 Feb 2026 - 6:36

390

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"Almost Normal" Matrix and Gap between Spectral Radius/Norm

Published on 25 Mar 2026 - 9:40

89

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If $A$ is self-adjoint, how are $\inf\sigma(A)$ and $\inf_{\left\|x\right\|_H=1}\langle Ax,x\rangle_H$ related?

Published on 30 Dec 2019 - 9:26

435

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How to find a tighter upper bound on the spectral radius of the given matrix?

Published on 10 Jan 2020 - 9:50

130

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Stuck on the formula of spectral radius

Published on 15 Jan 2020 - 13:18

98

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How to find a sharper lower bound?

Published on 16 Jan 2020 - 14:56

588

Views

Spectral radius of a matrix multiplied by a contraction matrix

Published on 25 Mar 2026 - 11:13

139

Views

Understanding matrix norms and spectral radius

Published on 25 Mar 2026 - 19:02

705

Views

Ratio of largest eigenvalue to largest singular value

Published on 25 Mar 2026 - 7:41

28

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Are singular values independent of the scalar product?

Published on 25 Mar 2026 - 11:06

293

Views

How do i work out if this matrix is diagonally dominted?

Published on 01 Mar 2020 - 14:18

List Question

With basic iterative method $Mx_{k+1} = Nx_k + b$, show that $||x_k-x||_2 \leq \dfrac{\rho(G)}{1-\rho(G)}||x_k-x_{k-1}||_2$

The Volterra operator question in Functional Analysis

Can you help me with a Spectral and Point Spectrum Problem

Show that $A^4=A^2$ for an adjacency matrix with spectral radius $\leq1$

Prove that the eigenvalue with largest absolute value is positive and real

"Almost Normal" Matrix and Gap between Spectral Radius/Norm

If $A$ is self-adjoint, how are $\inf\sigma(A)$ and $\inf_{\left\|x\right\|_H=1}\langle Ax,x\rangle_H$ related?

How to find a tighter upper bound on the spectral radius of the given matrix?

Stuck on the formula of spectral radius

How to find a sharper lower bound?

Spectral radius of a matrix multiplied by a contraction matrix

Understanding matrix norms and spectral radius

Ratio of largest eigenvalue to largest singular value

Are singular values independent of the scalar product?

How do i work out if this matrix is diagonally dominted?

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