Some results on a generalized alternating iterative method

DOI10.1016/J.AMC.2008.11.042zbMath1163.65017OpenAlexW2082981856MaRDI QIDQ1015786

Fuping Tan, Guangbin Wang

Publication date: 30 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.11.042

zbMATH Keywords

convergencenumerical examplescomparison theoremmonotone matrixgeneralized alternating methodnonsingular \(H\)-matrix

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Cites Work

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• Comparisons of weak regular splittings and multisplitting methods
• \(H\)-splittings and two-stage iterative methods
• Some comparison theorems for weak nonnegative splittings of bounded operators
• Nonnegative splitting theory
• Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods
• Convergence and comparison theorems for a generalized alternating iterative method.
• Theorems on M-splittings of a singular M-Matrix which depend on graph structure

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