Jackson's theorem and circulant preconditioned Toeplitz systems
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Publication:1198151
DOI10.1016/0021-9045(92)90084-2zbMath0786.65024OpenAlexW2087191973MaRDI QIDQ1198151
Man-Chung Yeung, Raymond Honfu Chan
Publication date: 16 January 1993
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(92)90084-2
convergence ratepreconditioned conjugate gradient methodsuperlinear convergencecirculant preconditionerJackson's theoremHermitian Toeplitz systems
Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)
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Cites Work
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- Circulant and skew-circulant preconditioners for skew-Hermitian type Toeplitz systems
- The Spectrum of a Family of Circulant Preconditioned Toeplitz Systems
- Stability of Methods for Solving Toeplitz Systems of Equations
- A Proposal for Toeplitz Matrix Calculations
- An Optimal Circulant Preconditioner for Toeplitz Systems
- Superfast Solution of Real Positive Definite Toeplitz Systems
- Toeplitz Equations by Conjugate Gradients with Circulant Preconditioner
- The Spectra of Super-Optimal Circulant Preconditioned Toeplitz Systems
- Circulant Preconditioners for Toeplitz Matrices with Positive continuous Generating Functions
- Design and analysis of Toeplitz preconditioners
- Optimal and Superoptimal Circulant Preconditioners
- Circulant and Skewcirculant Matrices for Solving Toeplitz Matrix Problems
- Circulant Preconditioners for Hermitian Toeplitz Systems
- An Algorithm for the Inversion of Finite Toeplitz Matrices
