On the HSS iteration methods for positive definite Toeplitz linear systems

DOI10.1016/j.cam.2008.06.002zbMath1185.65055OpenAlexW2085450069MaRDI QIDQ1002215

Chuanqing Gu, Zhao Lu Tian

Publication date: 25 February 2009

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.2008.06.002

zbMATH Keywords

Toeplitz matrixcentrosymmetric matrixHSS iteration methodskew-centrosymmetric matrix

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (10)

Erratum to: ``On the HSS iteration methods for positive definite Toeplitz linear systems ⋮ A class of iteration methods based on the generalized preconditioned Hermitian and skew-Hermitian splitting for weakly nonlinear systems ⋮ Accelerated circulant and skew circulant splitting methods for Hermitian positive definite Toeplitz systems ⋮ A class of iteration methods based on the HSS for Toeplitz systems of weakly nonlinear equations ⋮ DCT- and DST-based splitting methods for Toeplitz systems ⋮ Trigonometric transform splitting methods for real symmetric Toeplitz systems ⋮ On HSS and AHSS iteration methods for nonsymmetric positive definite Toeplitz systems ⋮ The computation of the square roots of circulant matrices ⋮ Fast solvers for tridiagonal Toeplitz linear systems ⋮ The eigen-structures of real (skew) circulant matrices with some applications

Cites Work

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• The iterative methods for centrosymmetric matrices
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• Symmetric centrosymmetric matrix-vector multiplication
• Computing matrix-vector products with centrosymmetric and centro-Hermitian matrices
• On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations
• New analogs of split algorithms for arbitrary Toeplitz-plus-Hankel matrices
• Preconditioned Iterative Methods for Solving Toeplitz-Plus-Hankel Systems
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems
• Conjugate Gradient Methods for Toeplitz Systems
• An Algorithm for the Inversion of Finite Toeplitz Matrices

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