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)
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Journal of Computing, Vol. 7, No 3, (2013), 245p-256p
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.