GLT sequences and automatic computation of the symbol

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Convergence and divergence of series and sequences (40A05) Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

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Spectral analysis and structure preserving preconditioners for fractional diffusion equations
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
Introduction to large truncated Toeplitz matrices
Locally Toeplitz sequences: Spectral properties and applications
Spectral distribution of PDE discretization matrices from isogeometric analysis: the case of \(L^1\) coefficients and non-regular geometry
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
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
Equivalence between GLT sequences and measurable functions
Superlinear convergence of conjugate gradients
Spectral analysis and spectral symbol of matrices in isogeometric collocation methods
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
From convergence in measure to convergence of matrix-sequences through concave functions and singular values
Spectral analysis and spectral symbol for the 2D curl-curl (stabilized) operator with applications to the related iterative solutions
Generalized Locally Toeplitz Sequences: Theory and Applications
Banach Spaces of GLT Sequences and Function Spaces
On the Asymptotic Spectrum of Finite Element Matrix Sequences
Convergence Analysis of Krylov Subspace Iterations with Methods from Potential Theory
Spectral behavior of matrix sequences and discretized boundary value problems
Asymptotic zero distribution of orthogonal polynomials with discontinuously varying recurrence coefficients

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