Optimal parameters for 2-cyclic AOR

DOI10.1016/j.amc.2010.02.046zbMath1210.65083OpenAlexW2040834661MaRDI QIDQ972916

Xue-Yuan Tan, Yong-Zhong Song

Publication date: 21 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.02.046

zbMATH Keywords

spectral radiusoptimal parametersconvergence condition2-cyclic accelerated overrelaxation (AOR) method2-cyclic consistently ordered matrixasymptotical convergence factorblock Jacobi iteration matrix

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Cites Work

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• Convergence theory of extrapolated iterative methods for a certain class of non-symmetric linear systems
• A note on the convergence of the AOR method
• A survey of the iterative methods for the solution of linear systems by extrapolation, relaxation and other techniques
• A convergence theorem on an extrapolated iterative method and its applications
• On the convergence of the generalized AOR method
• Successive overrelaxation (SOR) and related methods
• Convergence of AOR method
• Extrapolated Iterative Methods for Linear Systems Approximation
• The optimal solution of the extrapolation problem of a first order scheme
• Optimum Accelerated Overrelaxation Method in a Special Case
• On the Convergence of Some Generalized Preconditioned Iterative Methods
• Accelerated Overrelaxation Method

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