Optimal block circulant preconditioners for block Toeplitz systems with application to evolutionary PDEs
From MaRDI portal
Publication:2075943
DOI10.1016/j.cam.2021.113965zbMath1490.65046OpenAlexW4200066473WikidataQ114201936 ScholiaQ114201936MaRDI QIDQ2075943
Publication date: 16 February 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.113965
eigenvalue distributionToeplitz matricesHankel matricesblock matricescirculant preconditionersevolutionary partial differential equationssingular value distributionall-at-once systems
Eigenvalues, singular values, and eigenvectors (15A18) Iterative numerical methods for linear systems (65F10) Toeplitz, Cauchy, and related matrices (15B05) Preconditioners for iterative methods (65F08)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- On the distribution of the singular values of Toeplitz matrices
- On bilinear forms in Gaussian random variables and Toeplitz matrices
- Spectral and computational analysis of block Toeplitz matrices having nonnegative definite matrix-valued generating functions
- Spectra of multilevel Toeplitz matrices: Advanced theory via simple matrix relationships
- Circulant preconditioners for analytic functions of Toeplitz matrices
- A unifying approach to some old and new theorems on distribution and clustering
- Band Toeplitz preconditioners for non-symmetric real Toeplitz systems by preconditioned GMRES method
- A note on the spectral distribution of symmetrized Toeplitz sequences
- Block Diagonal and Schur Complement Preconditioners for Block-Toeplitz Systems with Small Size Blocks
- A Proposal for Toeplitz Matrix Calculations
- An Optimal Circulant Preconditioner for Toeplitz Systems
- Asymptotic Results on the Spectra of Block Toeplitz Preconditioned Matrices
- Korovkin tests, approximation, and ergodic theory
- Preconditioning and Iterative Solution of All-at-Once Systems for Evolutionary Partial Differential Equations
- Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear
- Asymptotic Spectra of Hermitian Block Toeplitz Matrices and Preconditioning Results
- Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix-sequences
- An All-at-Once Preconditioner for Evolutionary Partial Differential Equations
- The Eigenvalue Distribution of Special 2-by-2 Block Matrix-Sequences with Applications to the Case of Symmetrized Toeplitz Structures
- A Preconditioned MINRES Method for Nonsymmetric Toeplitz Matrices
- Preconditioning
- Preconditioning for Nonsymmetry and Time-Dependence
- An Introduction to Iterative Toeplitz Solvers
