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Domains of divergence of the USSOR method applied onp-cyclic matrices

Saridakis Ioannis

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URI: http://purl.tuc.gr/dl/dias/C613EC07-892D-4316-B829-C98D5D9908E3
Year 1990
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation Y. G. Saridakis, “Domains of divergence of the USSOR method applied on p-Cycilic matrices”, Num.e Math.,vol. 57, no.1 ,pp 405-412, 1990.doi:10.1007/BF01386419 https://doi.org/10.1007/BF01386419
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Summary

Using a recently derived classical type general functional equation, relating the eigenvalues of a weakly cyclic Jacobi iteration matrix to the eigenvalues of its associated Unsymmetric Successive Overrelaxation (USSOR) iteration matrix, we obtain bounds for the convergence of the USSOR method, when applied to systems with ap-cyclic coefficient matrix.

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