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Ceneralized consistent orderings and the accelerated overrelaxation method

Saridakis Ioannis

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URI: http://purl.tuc.gr/dl/dias/682CD1C7-C2D4-42AA-8449-4738FF10D69A
Year 1986
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation Y. G. Saridakis, “Ceneralized consistent orderings and the accelerated overrelaxation method”, BIT Num.Math.,vol. 26,no.3, pp 369 – 376,Sep. 1986.doi:10.1007/BF01933716 https://doi.org/10.1007/BF01933716
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Journal Publications in Community School of Production Engineering and Management

Summary

In this paper, the behavior of the block Accelerated Overrelaxation (AOR) iterative method, when applied to linear systems with a generalized consistently ordered coefficient matrix, is investigated. An equation, relating the eigenvalues of the block Jacobi iteration matrix to the eigenvalues of its associated block AOR iteration matrix, as well as sufficient conditions for the convergence of the block AOR method, are obtained.

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