Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol
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Publication:278594
DOI10.1016/j.amc.2014.07.023zbMath1335.15036arXiv1404.7101OpenAlexW2059918380MaRDI QIDQ278594
Marco Donatelli, Stefano Serra Capizzano, Carlo Garoni, Mariarosa Mazza, Debora Sesana
Publication date: 2 May 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.7101
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Toeplitz, Cauchy, and related matrices (15B05)
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Cites Work
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- Matrix algebra preconditioners for multilevel Toeplitz systems do not insure optimal convergence rate
- The GLT class as a generalized Fourier analysis and applications
- The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences
- The eigenvalue distribution of products of Toeplitz matrices - clustering and attraction
- Functional analysis, Sobolev spaces and partial differential equations
- Spectral and computational analysis of block Toeplitz matrices having nonnegative definite matrix-valued generating functions
- Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems
- Matrix algebra preconditioners for multilevel Toeplitz matrices are not superlinear
- Extreme singular values and eigenvalues of non-Hermitian block Toeplitz matrices
- Some results on complex Toeplitz eigenvalues
- C. G. preconditioning for Toeplitz matrices
- A framelet-based image inpainting algorithm
- Finite Element Solution of Boundary Value Problems
- Optimal, quasi-optimal and superlinear band-Toeplitz preconditioners for asymptotically ill-conditioned positive definite Toeplitz systems
- Canonical Eigenvalue Distribution of Multilevel Block Toeplitz Sequences with Non-Hermitian Symbols
- Preconditioning strategies for non‐Hermitian Toeplitz linear systems
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Toeplitz Preconditioners for Toeplitz Systems with Nonnegative Generating Functions
- How Fast are Nonsymmetric Matrix Iterations?
- Asymptotic Results on the Spectra of Block Toeplitz Preconditioned Matrices
- A Korovkin-Based Approximation of MultilevelToeplitz Matrices (With Rectangular Unstructured Blocks) via Multilevel Trigonometric Matrix Spaces
- Fast Band-Toeplitz Preconditioners for Hermitian Toeplitz Systems
- Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear
- Conjugate Gradient Methods for Toeplitz Systems
- How to prove that a preconditioner cannot be superlinear
- Toeplitz-Circulant Preconditioners for Toeplitz Systems and their Applications to Queueing Networks with Batch Arrivals
- A note on the spectral distribution of toeplitz matrices
- Spectral behavior of matrix sequences and discretized boundary value problems
