Preconditioning of Block Tridiagonal Matrices

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Date
2008-03-09MFO Scientific Program
Research in Pairs 2008Series
Oberwolfach Preprints;2008,05Author
Axelsson, Owe
Karatson, Janos
Metadata
Show full item recordOWP-2008-05
Abstract
Preconditioning methods via approximate block factorization for block tridiagonal matrices are studied. Bounds for the resulting condition numbers are given, and two methods for the recursive construction of the approximate Schur complements are presented. Illustrations for elliptic problems are also given, including a study of sensitivity to jumps in the coefficients and of a suitably motidied Poincaré-Steklov operator on the continuous level.