Distribution results for a special class of matrix sequences: joining approximation theory and asymptotic linear algebra
From MaRDI portal
Publication:6163339
DOI10.1553/etna_vol59s1zbMath1521.15025OpenAlexW4312769032MaRDI QIDQ6163339
Alec Jacopo Almo Schiavoni-Piazza, Stefano Serra Capizzano
Publication date: 9 June 2023
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: http://etna.mcs.kent.edu/volumes/2021-2030/vol59/abstract.php?vol=59&pages=1-8
Toeplitz matrixHankel matrixmatrix sequenceeigenvalue and singular value distributionsingular value clustering
Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Padé approximation (41A21) Approximation by polynomials (41A10) Toeplitz, Cauchy, and related matrices (15B05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The GLT class as a generalized Fourier analysis and applications
- The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences
- On the rate of convergence of the preconditioned conjugate gradient method
- Eigenvalues and pseudo-eigenvalues of 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
- Some results on complex Toeplitz eigenvalues
- Generalized locally Toeplitz sequences: Spectral analysis and applications to discretized partial differential equations
- Spectral properties of block multilevel Hankel matrices
- Distribution of eigenvalues of Toeplitz matrices with smooth entries
- Superlinear Convergence of Conjugate Gradients
- Singular-value (and eigenvalue) distribution and Krylov preconditioning of sequences of sampling matrices approximating integral operators
- Generalized Locally Toeplitz Sequences: Theory and Applications
- Non‐Hermitian perturbations of Hermitian matrix‐sequences and applications to the spectral analysis of the numerical approximation of partial differential equations
- A note on the spectral distribution of toeplitz matrices
- Generalized Locally Toeplitz Sequences: Theory and Applications
- How to Deduce a Proper Eigenvalue Cluster from a Proper Singular Value Cluster in the Nonnormal Case
- On the Asymptotic Spectrum of Finite Element Matrix Sequences
- Convergence Analysis of Krylov Subspace Iterations with Methods from Potential Theory
- Spectral Properties of Banded Toeplitz Matrices
- Spectral behavior of matrix sequences and discretized boundary value problems
- Asymptotic zero distribution of orthogonal polynomials with discontinuously varying recurrence coefficients