On the convergence of the generalized AOR method

DOI10.1016/S0024-3795(96)00028-6zbMath0872.65028MaRDI QIDQ1355238

Yong-Zhong Song

Publication date: 19 October 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

convergence\(M\)-matrices\(H\)-matricesaccelerated overrelaxation method\(L\)-matrices

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items

Generalized AOR methods for linear complementarity problem ⋮ A convergence analysis of SOR iterative methods for linear systems with weak \(H\)-matrices ⋮ The solution of the linear complementarity problem by the matrix analogue of the accelerated overrelaxation iterative method ⋮ A new matrix splitting generalized iteration method for linear complementarity problems ⋮ Comparison of three classes of algorithms for the solution of the linear complementarity problem with an \(H_+\)-matrix ⋮ On the convergence regions of generalized accelerated overrelaxation method for linear complementarity problems ⋮ On parameterized inexact Uzawa methods for generalized saddle point problems ⋮ PageRank computation with MAAOR and lumping methods ⋮ Optimal parameters for 2-cyclic AOR ⋮ Two class of synchronous matrix multisplitting schemes for solving linear complementarity problems ⋮ On the convergence of parallel multisplitting asynchronous GAOR method for \(H\)-matrix ⋮ Asynchronous multisplitting GAOR method and asynchronous multisplitting SSOR method for systems of weakly nonlinear equations ⋮ Convergence of relaxed matrix parallel multisplitting chaotic methods for \(H\)-matrices ⋮ On generalized successive overrelaxation methods for augmented linear systems ⋮ The matrix analogue of the scalar AOR iterative method

Cites Work

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• Extensions of the Ostrowski-Reich theorem for SOR iterations
• On recurring theorems on diagonal dominance
• On the convergence of the extrapolated aor method
• Konvergenzkriterien für das Verallgemeinerte AOR-Verfahren
• Accelerated Overrelaxation Method
• A Simple Approach to the Perron-Frobenius Theory for Positive Operators on General Partially-Ordered Finite-Dimensional Linear Spaces
• Convergence of Matrix Iterations Subject to Diagonal Dominance

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