On the asymptotic spectral distribution of increasing size matrices: test functions, spectral clustering, and asymptotic estimates of outliers
DOI10.1016/J.LAA.2024.05.009MaRDI QIDQ6565857
Publication date: 2 July 2024
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
outliersspectral clusteringtest functionsHermitian block Toeplitz matricesvague convergence of probability measuresasymptotic spectral and singular value distributionUrysohn's lemma and Tietze's extension theorem
Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Convergence of probability measures (60B10) Toeplitz, Cauchy, and related matrices (15B05)
Cites Work
- Title not available (Why is that?)
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- From convergence in distribution to uniform convergence
- The GLT class as a generalized Fourier analysis and applications
- On the distribution of the singular values of Toeplitz matrices
- On bilinear forms in Gaussian random variables and Toeplitz matrices
- Introduction to large truncated Toeplitz matrices
- Locally Toeplitz sequences: Spectral properties and applications
- Spectra of multilevel Toeplitz matrices: Advanced theory via simple matrix relationships
- Spectral analysis of finite-dimensional approximations of \(1d\) waves in non-uniform grids
- Capizzano, Stefano Serra
- 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
- Analysis of the spectral symbol associated to discretization schemes of linear self-adjoint differential operators
- Rectangular GLT sequences
- A systematic approach to reduced GLT
- Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case
- Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case
- Maximum norm versions of the Szegő and Avram-Parter theorems for Toeplitz matrices
- Probability theory. A comprehensive course.
- Generalized Locally Toeplitz Sequences: Theory and Applications
- Spectral Measures
- Distribution of eigenvalues and singular values of Toeplitz matrices under weakened conditions on the generating function
- Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey
- A note on the spectral distribution of toeplitz matrices
- Generalized Locally Toeplitz Sequences: Theory and Applications
- Understanding Analysis
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