Tools for the eigenvalue distribution in a non-Hermitian setting

DOI10.1016/j.laa.2008.08.006zbMath1155.15009OpenAlexW2087321595MaRDI QIDQ958034

Debora Sesana, Stefano Serra Capizzano

Publication date: 2 December 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.08.006

zbMATH Keywords

Toeplitz matrixjoint eigenvalue distributionmatrix sequenceapproximation of PDEsMirsky theorem

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Conditioning of matrices (15A12)

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Cites Work

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• On unitarily invariant norms of matrix-valued linear positive operators.
• The GLT class as a generalized Fourier analysis and applications
• The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences
• Stability of the notion of approximating class of sequences and applications
• Introduction to large truncated Toeplitz matrices
• Locally Toeplitz sequences: Spectral properties and applications
• Spectra of multilevel Toeplitz matrices: Advanced theory via simple matrix relationships
• Some results on complex Toeplitz eigenvalues
• Generalized locally Toeplitz sequences: Spectral analysis and applications to discretized partial differential equations
• A unifying approach to some old and new theorems on distribution and clustering
• Asymptotic results for empirical measures of weighted sums of independent random variables
• Can one hear the composition of a drum?
• Superlinear Convergence of Conjugate Gradients
• Sharp large deviations for Gaussian quadratic forms with applications
• A note on the spectral distribution of toeplitz matrices
• How to Deduce a Proper Eigenvalue Cluster from a Proper Singular Value Cluster in the Nonnormal Case
• Singular values and eigenvalues of non-Hermitian block Toeplitz matrices
• Distribution results on the algebra generated by Toeplitz sequences: A finite-dimensional approach
• Spectral behavior of matrix sequences and discretized boundary value problems