Block AOR Iteration for Nonsymmetric Matrices

DOI10.2307/2007689zbMath0527.65024OpenAlexW4236932440MaRDI QIDQ3042286

Theodore S. Papatheodorou

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2007689

zbMATH Keywords

comparisonPoisson's equationspectral radiussuccessive overrelaxationinverse matrixaccelerated overrelaxationJacobi iteration matrixblock AOR iterationblock tridiagonal partitionextrapolated Gauss-Seidel schemes

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (11)

Generalized consistent orderings and the accelerated overrelaxation method ⋮ General interior Hermite collocation methods for second-order elliptic partial differential equations ⋮ Stepsize restrictions for stability in the numerical solution of ordinary and partial differential equations ⋮ A survey of the iterative methods for the solution of linear systems by extrapolation, relaxation and other techniques ⋮ Optimal block iterative schemes for certain large, sparse,and nonsymmetric linear systems ⋮ A generalized Schwarz splitting method based on Hermite collocation for elliptic boundary value problems ⋮ Inverses for a class of banded matrices and applications to piecewise cubic approximation ⋮ On the convergence of the modified accelerated overrelaxation (MAOR) method ⋮ Modified successive overrelaxation (MSOR) and equivalent 2-step iterative methods for collocation matrices ⋮ Iterative solution of elliptic collocation systems on a cognitive parallel computer ⋮ On the convergence of some generalized iterative methods

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