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Volume 8, Issue 2
Convergence Theory for AOR Method

L. J. Cvetkovic & D. Herceg

J. Comp. Math., 8 (1990), pp. 128-134.

Published online: 1990-08

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  • Abstract

In this paper we give some sufficient conditions for the convergence of the AOR method, introduced by Hadjidimos [5], which include the ones from [1], [2], [5], [6], [7], [9], [10], [11], [12] and which show that the necessary condition given in [8] for the convergence of the AOR method is not valid. We give general conditions for the class of H-matrices, but they are not always easy to check in practice. Consequently, we give some more practical conditions concerning some subclasses of H-matrices.

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@Article{JCM-8-128, author = {L. J. Cvetkovic and D. Herceg}, title = {Convergence Theory for AOR Method}, journal = {Journal of Computational Mathematics}, year = {1990}, volume = {8}, number = {2}, pages = {128--134}, abstract = {

In this paper we give some sufficient conditions for the convergence of the AOR method, introduced by Hadjidimos [5], which include the ones from [1], [2], [5], [6], [7], [9], [10], [11], [12] and which show that the necessary condition given in [8] for the convergence of the AOR method is not valid. We give general conditions for the class of H-matrices, but they are not always easy to check in practice. Consequently, we give some more practical conditions concerning some subclasses of H-matrices.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9426.html} }
TY - JOUR T1 - Convergence Theory for AOR Method AU - L. J. Cvetkovic & D. Herceg JO - Journal of Computational Mathematics VL - 2 SP - 128 EP - 134 PY - 1990 DA - 1990/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9426.html KW - AB -

In this paper we give some sufficient conditions for the convergence of the AOR method, introduced by Hadjidimos [5], which include the ones from [1], [2], [5], [6], [7], [9], [10], [11], [12] and which show that the necessary condition given in [8] for the convergence of the AOR method is not valid. We give general conditions for the class of H-matrices, but they are not always easy to check in practice. Consequently, we give some more practical conditions concerning some subclasses of H-matrices.

L. J. Cvetkovic and D. Herceg. (1990). Convergence Theory for AOR Method. Journal of Computational Mathematics. 8 (2). 128-134. doi:
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