Accelerated circulant and skew circulant splitting methods for Hermitian positive definite Toeplitz systems

DOI10.1155/2012/973407zbMath1342.65107OpenAlexW1974172531WikidataQ58698693 ScholiaQ58698693MaRDI QIDQ666397

N. Akhondi, Faezeh Toutounian

Publication date: 8 March 2012

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/973407

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (7)

Fast matrix splitting iteration method for the linear system from spatial fractional diffusion equations ⋮ Optimal backward perturbation analysis for the block skew circulant linear systems with skew circulant blocks ⋮ An MHSS-like iteration method for two-by-two linear systems with application to FDE optimization problems ⋮ Analysis of the structured perturbation for the BSCCB linear system ⋮ Quasi-Toeplitz trigonometric transform splitting methods for spatial fractional diffusion equations ⋮ On optimal backward perturbation analysis for the linear system with skew circulant coefficient matrix ⋮ Incomplete circulant and skew-circulant splitting iteration method for time-dependent space fractional diffusion equations

Cites Work

• On the HSS iteration methods for positive definite Toeplitz linear systems
• Circulant and skew-circulant splitting methods for Toeplitz systems.
• Matrix Analysis
• A Proposal for Toeplitz Matrix Calculations
• Design and analysis of Toeplitz preconditioners
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• Conjugate Gradient Methods for Toeplitz Systems
• Circulant Preconditioners for Hermitian Toeplitz Systems
• An Algorithm for the Inversion of Finite Toeplitz Matrices
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