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Tangential frequency filtering decompositions for symmetric matrices. (English) Zbl 0890.65030

The tangential frequency filtering decomposition (TFFD) of a matrix is introduced. The TFFD belongs to the class of incomplete block decompositions. The goal of these decompositions is to approximate the Schur complements arising during the block-decomposition of block-tridiagonal matrices. Existence of TFFD and convergence rates of the induced iterative algorithm independent of the number of unknowns are proven for a class of symmetric positive definite matrices.
Reviewer: W.Gander (Zürich)

MSC:

65F10 Iterative numerical methods for linear systems

Citations:

Zbl 0890.65031
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