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Original Articles

Convergence of the interval and point TOR method

, &
Pages 1227-1241 | Received 15 Apr 2003, Published online: 12 May 2010
 

Abstract

In this paper, we present the interval version of the two parameter overrelaxation iterative (TOR) method and we obtain some convergence conditions when the matrix A of the linear system Ax = b belongs to some classes of matrice. Similar conditions were obtained for the point TOR method.

Some results for the accelerated overrelaxation interval and point iterative (AOR) method were also obtained, which coincides with those given by Martins in Ref. [7].

Notes

*This work was supported by Instituto de Telecomunicações de Coimbra, Instituto de Cooperacção Científica e Tecnológica Internacional and by the British Council.

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