Convergence behaviors of multisplitting methods with \(K+1\) relaxed parameters

DOI10.1016/j.cam.2008.10.015zbMath1169.65025OpenAlexW2036662829MaRDI QIDQ1023309

Ting-Zhu Huang, Li-Tao Zhang, Yan-Fei Jing, Guang-Hui Cheng

Publication date: 11 June 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.2008.10.015

zbMATH Keywords

convergencenumerical experiments\(M\)-matrixpreconditioners\(H\)-matrixmultisplittingILU factorizationBiCGSTAB

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Cites Work

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• Convergence of relaxed parallel multisplitting methods
• \(H\)-splittings and two-stage iterative methods
• On the stability of the incomplete LU-factorizations and characterizations of \(H\)-matrices
• Block ILU factorization preconditioners for a block-tridiagonal \(H\)-matrix
• Parallel, synchronous and asynchronous two-stage multisplitting methods
• Nonstationary parallel relaxed multisplitting methods
• Multisplitting of a Symmetric Positive Definite Matrix
• Multi-Splittings of Matrices and Parallel Solution of Linear Systems
• Two-Stage and Multisplitting Methods for the Parallel Solution of Linear Systems

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