SOR as a preconditioner

DOI10.1016/0168-9274(95)00080-EzbMath0840.65018OpenAlexW2009209222MaRDI QIDQ1904021

Yanyan Li

Publication date: 30 June 1996

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

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00080-e

zbMATH Keywords

numerical resultsconvection-diffusion equationfinite differencesGMRESsuccessive overrelaxationpreconditionerBiCGSTABtest examplered-black orderingmultiple SOR preconditioningnonsymmetric iterative solvers

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) Conditioning of matrices (15A12)

Related Items (7)

Multistep matrix splitting iteration preconditioning for singular linear systems ⋮ Explicit approximate inverse preconditioning techniques ⋮ Convergence analysis of modified iterative methods to solve linear systems ⋮ A modified SSOR-like preconditioner for non-Hermitian positive definite matrices ⋮ SOR as a preconditioner. II ⋮ Iterative solution of linear systems in the 20th century ⋮ Generalized successive overrelaxation iterative method for a class of complex symmetric linear system of equations

Cites Work

• The effect of ordering on preconditioned conjugate gradients
• Iterative Methods for Cyclically Reduced Non-Self-Adjoint Linear Systems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Efficient Implementation of a Class of Preconditioned Conjugate Gradient Methods
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Orderings for Conjugate Gradient Preconditionings
• A Comparison of Preconditioned Nonsymmetric Krylov Methods on a Large-Scale MIMD Machine
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