Generalised consistent ordering and the optimum successive overrelaxation factor

DOI10.1007/BF02163270zbMath0172.42502OpenAlexW2087876419MaRDI QIDQ2531757

Yanyan Li

Publication date: 1969

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131933

zbMATH Keywords

numerical analysis

Related Items (19)

Generalized consistent orderings and the accelerated overrelaxation method ⋮ 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 ⋮ Exact SOR convergence regions for a general class of \(p\)-cyclic matrices ⋮ The relationship between the Jacobi and the successive overrelaxation (SOR) matrices of a k-cyclic matrix ⋮ A note on the SSOR and USSOR iterative methods applied to p-cyclic matrices ⋮ On the convergence domains of the \(p\)-cyclic SOR ⋮ Computational methods of linear algebra ⋮ On the sharpness of some upper bounds for the spectral radii of S.O.R. iteration matrices ⋮ The Kahan S.O.R. convergence bound for nonsingular and irreducible M- matrices ⋮ On the optimum relaxation factor associated with \(p\)-cyclic matrices ⋮ The extrapolated gauss-seidel methods and generally consistently ordered matrices ⋮ Over- and underrelaxation for linear systems with weakly cyclic Jacobi matrices of index p ⋮ On the modified preconditioned simultaneous displacement (m-psd) method ⋮ On domains of superior convergence of the SSOR method to that of the SOR method ⋮ D^1/2-Norms of the sor and related methods for a class of nonsymmetric matrices ⋮ Improving Stochastic Relaxation for Gussian Random Fields ⋮ Successive overrelaxation (SOR) and related methods ⋮ p-cyclic matrices and the symmetric successive overrelaxation method

Cites Work

• \(p\)-cyclic matrices: A generalization of the Young-Frankel successive overrelaxation scheme
• On the successive over-relaxation method for cyclic operators
• On generalizations of the theory of consistent orderings for successive overrelaxation methods
• Some aspects of consistent ordering
• Some generalisations of the theory of successive over-relaxation
• Iterative Methods for Solving Partial Difference Equations of Elliptic Type
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