Preconditioned AOR iterative methods for \(M\)-matrices

DOI10.1016/j.cam.2008.05.022zbMath1175.65043OpenAlexW2089644921MaRDI QIDQ1008671

Li Wang, Yong-Zhong Song

Publication date: 30 March 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.2008.05.022

zbMATH Keywords

convergencenumerical resultslinear systemconvection-diffusion equationMATLABpreconditionerM-matrixaccelerated overrelaxation (AOR) iterative methodsrestarted generalized minimal residual (GMRES) method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (18)

A new method based on generalized Taylor expansion for computing a series solution of the linear systems ⋮ Some new preconditioned generalized AOR methods for solving weighted linear least squares problems ⋮ On the preconditioned AOR iterative method for \(Z\)-matrices ⋮ Comparison results of the preconditioned AOR methods for \(L\)-matrices ⋮ PRECONDITIONED SSOR METHODS FOR THE LINEAR COMPLEMENTARITY PROBLEM WITH M-MATRIX ⋮ Convergence analysis of modified iterative methods to solve linear systems ⋮ On the application of homotopy perturbation method for solving systems of linear equations ⋮ Some new preconditioned generalized AOR methods for generalized least-squares problems ⋮ Some new preconditioned generalized AOR methods for generalized least-squares problems ⋮ Comparison results on the preconditioned GAOR method for generalized least squares problems ⋮ A general preconditioner for linear complementarity problem with an \(M\)-matrix ⋮ Convergent homotopy analysis method for solving linear systems ⋮ A preconditioned two-step modulus-based matrix splitting iteration method for linear complementarity problem ⋮ On a class of multi-level preconditioners for Z-matrices ⋮ Multi-level preconditioned block accelerated overrelaxation iteration method for Z-matrices ⋮ Convergence analysis of the two preconditioned iterative methods for \(M\)-matrix linear systems ⋮ A new family of \((I+S)\)-type preconditioner with some applications ⋮ A new version of the accelerated overrelaxation iterative method

Uses Software

• Matlab

Cites Work

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• \(H\)-splittings and two-stage iterative methods
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• Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts
• More on modifications and improvements of classical iterative schemes for \(M\)-matrices
• Accelerated iterative method for \(Z\)-matrices
• On a class of row preconditioners for solving linear systems
• Accelerated Overrelaxation Method
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• Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems
• Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices
• A Simple Approach to the Perron-Frobenius Theory for Positive Operators on General Partially-Ordered Finite-Dimensional Linear Spaces
• The AOR iterative method for new preconditioned linear systems

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