Sor and related methods forp-cyclic systems

DOI10.1080/00207169208804131zbMath0777.65017OpenAlexW2042820516MaRDI QIDQ4032919

Chang-jun Li, David J. Evans

Publication date: 16 May 1993

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169208804131

zbMATH Keywords

convergencenumerical experimentsspectral radiusconvergence ratesuccessive overrelaxationGauss-Seidel methodleast squares problemssymmetric SOR methodSSOR methodChebyshev accelerationJacobi iteration matrix\(p\)-cyclic-matrixsymmetric SOR scheme

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Cites Work

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• Over- and underrelaxation for linear systems with weakly cyclic Jacobi matrices of index p
• Optimal successive overrelaxation iterative methods for \(p\)-cyclic matrices
• Convergence of block iterative methods applied to sparse least-squares problems
• p-cyclic matrices and the symmetric successive overrelaxation method
• Convergence of a direct-iterative method for large-scale least-squares problems
• Extrapolated Gauss-Seidel I and SOR methods for least-squares problems
• On the equivalence of the k-step iterative Euler methods and successive overrelaxation (SOR) methods for k-cyclic matrices
• Optimality relationships for p-cyclic SOR
• An application of p-cyclic matrices, for solving periodic parabolic problems