A preconditioned MINRES method for block lower triangular Toeplitz systems
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Publication:6594660
DOI10.1007/s10915-024-02611-4zbMATH Open1546.65021MaRDI QIDQ6594660
Shu-Lin Wu, Xue-Lei Lin, Sean Y. Hon, Cong-Cong Li
Publication date: 28 August 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
evolutionary equationsMINRESabsolute value block \(\alpha\)-circulant preconditionerblock lower triangular Toeplitz system
Iterative numerical methods for linear systems (65F10) Toeplitz, Cauchy, and related matrices (15B05) Preconditioners for iterative methods (65F08)
Cites Work
- Unnamed Item
- A compact finite difference scheme for the fractional sub-diffusion equations
- QMR: A quasi-minimal residual method for non-Hermitian linear systems
- Perturbation bounds for matrix square roots and Pythagorean sums
- Software for simplified Lanczos and QMR algorithms
- Spectral properties of flipped Toeplitz matrices and related preconditioning
- A parallel-in-time two-sided preconditioning for all-at-once system from a non-local evolutionary equation with weakly singular kernel
- A note on the spectral distribution of symmetrized Toeplitz sequences
- A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation
- A fast accurate approximation method with multigrid solver for two-dimensional fractional sub-diffusion equation
- Block \(\omega\)-circulant preconditioners for the systems of differential equations
- Finite Elements and Fast Iterative Solvers
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- Solution of Sparse Indefinite Systems of Linear Equations
- Preconditioning and Iterative Solution of All-at-Once Systems for Evolutionary Partial Differential Equations
- Conjugate Gradient Methods for Toeplitz Systems
- Any Nonincreasing Convergence Curve is Possible for GMRES
- An All-at-Once Preconditioner for Evolutionary Partial Differential Equations
- A Separable Preconditioner for Time-Space Fractional Caputo-Riesz Diffusion 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 for Nonsymmetry and Time-Dependence
- Numerical Methods for Structured Markov Chains
- Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub‐diffusion equations
- Methods of conjugate gradients for solving linear systems
- A Fast Block $\alpha$-Circulant Preconditoner for All-at-Once Systems From Wave Equations
- A block Toeplitz preconditioner for all-at-once systems from linear wave equations
- A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs
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