Geodesic
A Refinement of some Overrelaxation Algorithms for Solving a System of Linear Equations
Serdica Journal of Computing, Tome 7 (2013) no. 3, pp. 245-256.

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In this paper we propose a refinement of some successive overrelaxation methods based on the reverse Gauss–Seidel method for solving a system of linear equations Ax = b by the decomposition A = Tm − Em − Fm, where Tm is a banded matrix of bandwidth 2m + 1. We study the convergence of the methods and give software implementation of algorithms in Mathematica package with numerical examples. ACM Computing Classification System (1998): G.1.3.
Keywords: reverse Gauss–Seidel method, Nekrassov–Mehmke 2 method – (NM2), Successive Overrelaxation method with 1 parameter, based on (NM2) – (SOR1NM2), Successive Overrelaxation method with 2 parameters, based on (NM2) – (SOR2NM2), Refinement of (SOR1NM2) 
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Kyurkchiev, Nikolay; Iliev, Anton. A Refinement of some Overrelaxation Algorithms for Solving a System of Linear Equations. Serdica Journal of Computing, Tome 7 (2013) no. 3, pp. 245-256. http://geodesic.mathdoc.fr/item/SJC_2013_7_3_a3/