Tangential frequency filtering decompositions for symmetric matrices |
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Authors: | Christian Wagner |
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Institution: | Institut für Computeranwendungen, Universit?t Stuttgart, Pfaffenwaldring 27, D-70569 Stuttgart; email: chris@icA3.uni-stuttgart.de, DE
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Abstract: | Summary. The tangential frequency filtering decomposition (TFFD) is introduced. The convergence theory of an iterative scheme based
on the TFFD for symmetric matrices is the focus of this paper. The existence of the TFFD and the convergence of the induced
iterative algorithm is shown for symmetric and positive definite matrices. Convergence rates independent of the number of
unknowns are proven for a smaller class of matrices. Using this framework, the convergence independent of the number of unknowns
is shown for Wittum's frequency filtering decomposition. Some characteristic properties of the TFFD are illustrated and results
of several numerical experiments are presented.
Received April 1, 1996 / Revised version July 4, 1996 |
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Keywords: | Mathematics Subject Classification (1991):65F10 65N22 |
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