Preconditioned Conjugate Gradient Methods: Proceedings of a Conference held in Nijmegen, The Netherlands, June 19–21, 1989

R. Beauwens (auth.), Owe Axelsson, Lily Yu. Kolotilina (eds.)3540535152, 9783540535157, 0387535152

The motivation for this conference was the wish to bring together specialists working on iterative solution methods, in particular using preconditioning methods. The topics presented at the conference contained both original analysis and implementational aspects of preconditioned conjugate gradient methods. Problems dealt with included symmetric positive definite, indefinite or unsymmetric problems. These proceedings contain the full text of 11 selected papers.

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Table of contents :
Modified incomplete factorization strategies….Pages 1-16
On some parallel preconditioned CG schemes….Pages 17-27
Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic problems….Pages 28-43
A class of preconditioned conjugate gradient methods applied to finite element equations….Pages 44-57
Recent vectorization and parallelization of ITPACKV….Pages 58-78
On the sparsity patterns of hierarchical finite element matrices….Pages 79-104
Solving positive (semi)definite linear systems by preconditioned iterative methods….Pages 105-125
The convergence behaviour of preconditioned CG and CG-S in the presence of rounding errors….Pages 126-136
Data reduction (dare) preconditioning for generalized conjugate gradient methods….Pages 137-153
Analysis of a recursive 5-point/9-point factorization method….Pages 154-173
Iteration method as discretization procedures….Pages 174-193