Comment on `A comparison theorem of the SOR iterative method'

DOI10.1016/j.cam.2010.04.006zbMath1194.65055OpenAlexW1993173930MaRDI QIDQ989155

Toshiyuki Kohno, Hiroshi Niki

Publication date: 27 August 2010

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.2010.04.006

zbMATH Keywords

preconditioningGaussian eliminationsplittingGauss-Seidel method\(H\)-matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10)

Cites Work

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• A comparison theorem for the SOR iterative method
• Modified iterative methods for consistent linear systems
• On optimal improvements of classical iterative schemes for \(Z\)-matrices
• Positive cones and convergence conditions for iterative methods based on splittings
• Improving Jacobi and Gauss-Seidel iterations
• Comparisons of weak regular splittings and multisplitting methods
• Improving the modified Gauss-Seidel method for \(Z\)-matrices
• A comparison theorem for the iterative method with the preconditioner \((I+S_{max})\)