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Title: A Refinement of some Overrelaxation Algorithms for Solving a System of Linear Equations
Authors: Kyurkchiev, Nikolay
Iliev, Anton
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)
Issue Date: 2013
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Journal of Computing, Vol. 7, No 3, (2013), 245p-256p
Abstract: 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.
ISSN: 1312-6555
Appears in Collections:Volume 7 Number 3

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