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Regions of exact convergence of the USSOR method applied on generalized consistently ordered matrices

Saridakis Ioannis

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URI: http://purl.tuc.gr/dl/dias/6E2D2244-1D33-4D26-B897-187B5958C5DD
Year 1996
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation Y. G. Saridakis, “Regions of exact convergence of the USSOR method applied on generalized ordered matrices,” Num. Math., vol. 74,no.2 ,pp. 203-219,1996.doi:10.1007/s002110050214 https://doi.org/10.1007/s002110050214
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Journal Publications in Community School of Production Engineering and Management

Summary

Using the theory of nonnegative matrices and regular splittings, exact convergence and divergence domains of the Unsymmetric Successive Overrelaxation (USSOR) method, as it pertains to the class of Generalized Consistently Ordered (GCO) matrices, are determined. Our recently derived upper bounds, for the convergence of the USSOR method, re also used as effective tools.

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