Article ID Journal Published Year Pages File Type
4641919 Journal of Computational and Applied Mathematics 2008 11 Pages PDF
Abstract

In Ujević [A new iterative method for solving linear systems, Appl. Math. Comput. 179 (2006) 725–730], the author obtained a new iterative method for solving linear systems, which can be considered as a modification of the Gauss–Seidel method. In this paper, we show that this is a special case from a point of view of projection techniques. And a different approach is established, which is both theoretically and numerically proven to be better than (at least the same as) Ujević's. As the presented numerical examples show, in most cases, the convergence rate is more than one and a half that of Ujević.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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