An approximate inverse preconditioner for Toeplitz systems with multiple right-hand sides
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Publication:387659
DOI10.1016/j.amc.2012.05.017zbMath1280.65029OpenAlexW2029412751MaRDI QIDQ387659
Publication date: 23 December 2013
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.05.017
preconditioningconjugate gradient methodToeplitz matrixnumerical resultmultiple right-hand sidesinverse formula
Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)
Related Items (2)
Approximate Schur-block ILU preconditioners for regularized solution of discrete ill-posed problems ⋮ A note on the structured perturbation analysis for the inversion formula of Toeplitz matrices
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Cites Work
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- Algebraic methods for Toeplitz-like matrices and operators
- On inversion of Toeplitz and close to Toeplitz matrices
- Displacement structure approach to discrete-trigonometric-transform based preconditioners of G. Strang type and of T. Chan type
- A Korovkin-type theory for finite Toeplitz operators via matrix algebras
- Constrained minimax approximation and optimal preconditioners for Toeplitz matrices
- On the extreme eigenvalues of Hermitian (block) Toeplitz matrices
- On inversion of Toeplitz matrices
- On the reconstruction of Toeplitz matrix inverses from columns
- A note on inversion of Toeplitz matrices
- Global least squares method (Gl-LSQR) for solving general linear systems with several right-hand sides
- New Band Toeplitz Preconditioners for Ill-Conditioned Symmetric Positive Definite Toeplitz Systems
- Optimal, quasi-optimal and superlinear band-Toeplitz preconditioners for asymptotically ill-conditioned positive definite Toeplitz systems
- Block Diagonal and Schur Complement Preconditioners for Block-Toeplitz Systems with Small Size Blocks
- Inverse Toeplitz preconditioners for Hermitian Toeplitz systems
- A Proposal for Toeplitz Matrix Calculations
- LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
- Toeplitz Preconditioners for Toeplitz Systems with Nonnegative Generating Functions
- A Variant of the Gohberg–Semencul Formula Involving Circulant Matrices
- Factorized Sparse Approximate Inverse Preconditionings I. Theory
- A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems
- Recursive-Based PCG Methods for Toeplitz Systems with Nonnegative Generating Functions
- The Best Circulant Preconditioners for Hermitian Toeplitz Systems
- A Priori Sparsity Patterns for Parallel Sparse Approximate Inverse Preconditioners
- Toward an Effective Sparse Approximate Inverse Preconditioner
- Conjugate Gradient Methods for Toeplitz Systems
- Fast Transform Based Preconditioners for Toeplitz Equations
- A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method
- On a Matrix Algebra Related to the Discrete Hartley Transform
- Prefiltration technique via aggregation for constructing low‐density high‐quality factorized sparse approximate inverse preconditionings
- Factorized Banded Inverse Preconditioners for Matrices with Toeplitz Structure
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