Matrix-less spectral approximation for large structured matrices
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Publication:6660004
DOI10.1007/S10543-024-01041-WMaRDI QIDQ6660004
Melker Claesson, David Meadon, Carlo Garoni, Giovanni Barbarino, Sven-Erik Ekström, Hendrik Speleers
Publication date: 10 January 2025
Published in: BIT (Search for Journal in Brave)
spectral approximationstructured matricesgeneralized locally Toeplitz sequenceseigenvalue expansiondiscretization matricesinterpolation and extrapolation
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)
Cites Work
- Title not available (Why is that?)
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- Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols
- A matrix-less and parallel interpolation-extrapolation algorithm for computing the eigenvalues of preconditioned banded symmetric Toeplitz matrices
- Numerical solution of the eigenvalue problem for efficiently structured Hermitian matrices
- Inside the eigenvalues of certain Hermitian Toeplitz band matrices
- On the eigenvalue problem for Toeplitz band matrices
- Computing eigenvalues and singular values of Toeplitz matrices
- Extrapolation methods theory and practice
- Generalized updating problems and computation of the eigenvalues of rational Toeplitz matrices
- Spectral analysis of finite-dimensional approximations of \(1d\) waves in non-uniform grids
- Exact formulae and matrix-less eigensolvers for block banded symmetric Toeplitz matrices
- Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form?
- Asymptotic spectra of large (grid) graphs with a uniform local structure. I: Theory
- Analysis of the spectral symbol associated to discretization schemes of linear self-adjoint differential operators
- A matrix-less method to approximate the spectrum and the spectral function of Toeplitz matrices with real eigenvalues
- Constructive approach to the monotone rearrangement of functions
- Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols
- Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case
- Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case
- Finite element approximation of eigenvalue problems
- Generalized Locally Toeplitz Sequences: Theory and Applications
- Numerical Methods for Large Eigenvalue Problems
- ISOGEOMETRIC COLLOCATION METHODS
- Solving the Generalized Eigenvalue Problem for Rational Toeplitz Matrices
- Computing Eigenvalues of Banded Symmetric Toeplitz Matrices
- Numerical solution of saddle point problems
- Improving the Accuracy of Computed Eigenvalues and Eigenvectors
- Efficient Algorithms for the Evaluation of the Eigenvalues of (Block) Banded Toeplitz Matrices
- Numerical Solution of the Eigenvalue Problem for Symmetric Rationally Generated Toeplitz matrices
- Numerical Solution of the Eigenvalue Problem for Hermitian Toeplitz Matrices
- LAPACK Users' Guide
- PARALLEL ALGORITHMS TO COMPUTE THE EIGENVALUES AND EIGENVECTORS OFSYMMETRIC TOEPLITZ MATRICES∗
- Numerical Solution of the Eigenproblem for Banded, Symmetric Toeplitz Matrices
- Are the eigenvalues of the B‐spline isogeometric analysis approximation of −Δu = λu known in almost closed form?
- Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey
- Are the Eigenvalues of Banded Symmetric Toeplitz Matrices Known in Almost Closed Form?
- Generalized Locally Toeplitz Sequences: Theory and Applications
- Eigenvalues of Hermitian Toeplitz Matrices Generated by Simple-loop Symbols with Relaxed Smoothness
- A Note on Computing Eigenvalues of Banded Hermitian Toeplitz Matrices
- An extension of the theory of GLT sequences: sampling on asymptotically uniform grids
- Matrix-less methods for the spectral approximation of large non-Hermitian Toeplitz matrices: a concise theoretical analysis and a numerical study.
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