Woźnicki, Zbigniew I. The sigma-SOR algorithm and the optimal strategy for the utilization of the SOR iterative method. (English) Zbl 0802.65036 Math. Comput. 62, No. 206, 619-644 (1994); corrigendum ibid. 66, No. 220, 1769 (1997). Author’s summary: The paper describes, discusses, and numerically illustrates the method for obtaining a priori estimates of the optimum relaxation factor in the successive overrelaxation (SOR) iteration method. The computational strategy of this method uses the so-called sigma-SOR algorithm based on the theoretical result proven in the paper. The method presented is especially efficient for problems with slowly convergent iteration process and in this case is strongly competitive with adaptive procedures used for determining dynamically the optimum relaxation factor during the course of the SOR solution. Reviewer: H.Hollatz (Magdeburg) Cited in 1 ReviewCited in 4 Documents MSC: 65F10 Iterative numerical methods for linear systems Keywords:convergence acceleration; optimum relaxation factor; successive overrelaxation; sigma-SOR algorithm PDFBibTeX XMLCite \textit{Z. I. Woźnicki}, Math. Comput. 62, No. 206, 619--644 (1994; Zbl 0802.65036) Full Text: DOI