Preconditioning of block tridiagonal matrices

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Date
2008
Volume
2008-05
Issue
Journal
Series Titel
Oberwolfach Preprints (OWP)
Book Title
Publisher
Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
Link to publishers version
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.

Description
Keywords
Preconditioning, Schur complement, domain decomposition, Poincaré -Steklov operator, approximate block factorization
Citation
Axelsson, O., & Karátson, J. (2008). Preconditioning of block tridiagonal matrices (Vol. 2008-05). Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach. https://doi.org//10.14760/OWP-2008-05
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