A practical asymptotical optimal SOR method

DOI10.1016/j.amc.2014.06.034zbMath1336.65044OpenAlexW2080904723MaRDI QIDQ279633

Guo-Yan Meng

Publication date: 28 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.034

zbMATH Keywords

SORlinear systemsoptimal relaxation factors

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Linear equations (linear algebraic aspects) (15A06)

Related Items (9)

The improvements of the generalized shift-splitting preconditioners for non-singular and singular saddle point problems ⋮ A new optimized iterative method for solving \(M\)-matrix linear systems. ⋮ A selected method for the optimal parameters of the AOR iteration ⋮ Adaptive SOR methods based on the Wolfe conditions ⋮ An efficient two-step iterative method for solving a class of complex symmetric linear systems ⋮ Adaptive Relaxation Strategy on Basic Iterative Methods for Solving Linear Systems with Single and Multiple Right-Hand Sides ⋮ A modified generalized shift-splitting preconditioner for nonsymmetric saddle point problems ⋮ Shifted SSOR-like preconditioner for non-Hermitian positive definite matrices ⋮ A new version of KSOR method with lower number of iterations and lower spectral radius

Cites Work

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• Successive overrelaxation (SOR) and related methods
• A practical formula for computing optimal parameters in the HSS iteration methods
• Parallel multisplitting two-stage iterative methods with general weighting matrices for non-symmetric positive definite systems
• Is the optimal \(\omega\) best for the SOR iteration method?
• On generalized successive overrelaxation methods for augmented linear systems
• On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations
• SOR-like methods for augmented systems

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