Tangential decomposition |
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Authors: | A Buzdin |
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Affiliation: | (1) Department of Mathematics, Kaliningrad State University, Al. Nevsky 14, 236041 Kaliningrad, Russia |
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Abstract: | In this paper, we present the tangential block decomposition for block-tridiagonal matrices which is in many aspects similar
to the frequency filtering method by Wittum 8] and also to the tangential frequency filtering decomposition by Wagner 6]–7].
In opposite to the methods of Wittum and Wagner, for the class of model problems our approach does not use any test vectors
for its implementation. Similar to many iterative methods, it needs only bounds for extremal eigenvalues. Theoretical properties
of our scheme are similar to those for the ADI-method. The practical convergence of the presented method is illustrated by
numerical examples. |
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Keywords: | 65F10 65N22 |
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