The superiority of a new type (2,2)-step iterative method over the related Chebyshev method

DOI10.1016/j.amc.2003.12.112zbMath1067.65030OpenAlexW2093939603MaRDI QIDQ1765806

Mei-Qin Chen, Xiezhang Li

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.112

zbMATH Keywords

convergencecomparison of methodsnumerical examplesChebyshev methodGMRESBICGSTABQMRbanded Toeplitz matrix(2,2)-step methods

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Cites Work

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• Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II
• A study of semiiterative methods for nonsymmetric systems of linear equations
• The analysis of k-step iterative methods for linear systems from summability theory
• QMR: A quasi-minimal residual method for non-Hermitian linear systems
• The Tchebychev iteration for nonsymmetric linear systems
• An adaptive Chebyshev iterative method for nonsymmetric linear systems based on modified moments
• A condition for the superiority of the (2, 2)-step methods over the related Chebyshev method
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Estimates of Eigenvalues for Iterative Methods
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• A Hybrid GMRES Algorithm for Nonsymmetric Linear Systems
• A Hybrid Chebyshev Krylov Subspace Algorithm for Solving Nonsymmetric Systems of Linear Equations
• Is a Chebyshev method optimal for an elliptic region also optimal for a nearly elliptic region?