Preconditioned AOR iterative method for linear systems

DOI10.1016/j.apnum.2006.07.029zbMath1127.65020OpenAlexW2001190640MaRDI QIDQ881487

Li Wang, Meijun Wu, Yong-Zhong Song

Publication date: 30 May 2007

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2006.07.029

zbMATH Keywords

linear systemnumerical examplespreconditioningGauss-Seidel methodaccelerated overrelaxationAOR iterative method

Mathematics Subject Classification ID

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

Related Items (20)

Convergence of SSOR methods for linear complementarity problems ⋮ Convergence analysis of the preconditioned Gauss-Seidel method for \(H\)-matrices ⋮ Preconditioned generalized mixed-type splitting iterative method for solving weighted least-squares problems ⋮ Some new preconditioned generalized AOR methods for solving weighted linear least squares problems ⋮ A Preconditioned AOR Iterative Method for the Absolute Value Equations ⋮ On the preconditioned AOR iterative method for \(Z\)-matrices ⋮ On the solution of the fuzzy Sylvester matrix equation ⋮ Comparison results of the preconditioned AOR methods for \(L\)-matrices ⋮ Convergence analysis of preconditioned AOR iterative method for linear systems ⋮ Improving preconditioned SOR-type iterative methods for L-matrices ⋮ New preconditioned AOR iterative method for Z-matrices ⋮ On a class of multi-level preconditioners for Z-matrices ⋮ A reduced domain strategy for local mesh movement application in unstructured grids ⋮ Two class of synchronous matrix multisplitting schemes for solving linear complementarity problems ⋮ Asynchronous multisplitting GAOR method and asynchronous multisplitting SSOR method for systems of weakly nonlinear equations ⋮ Multi-level preconditioned block accelerated overrelaxation iteration method for Z-matrices ⋮ Convergence analysis of the two preconditioned iterative methods for \(M\)-matrix linear systems ⋮ Preconditioned AOR iterative methods for \(M\)-matrices ⋮ A new family of \((I+S)\)-type preconditioner with some applications ⋮ A new version of the accelerated overrelaxation iterative method

Cites Work

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• Modified iterative methods for consistent linear systems
• Comparisons of nonnegative splittings of matrices
• \(H\)-splittings and two-stage iterative methods
• Improving the modified Gauss-Seidel method for \(Z\)-matrices
• Modified Gauss-Seidel type methods and Jacobi type methods for Z-matrices
• Comparison theorems for splittings of matrices
• Accelerated iterative method for \(Z\)-matrices
• Accelerated Overrelaxation Method

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