Optimizing Two-Level Preconditionings for the Conjugate Gradient Method

Authors:
Owe Axelsson;Igor E. Kaporin
Affiliations:
-;-
Venue:
LSSC '01 Proceedings of the Third International Conference on Large-Scale Scientific Computing-Revised Papers
Year:
2001

Citing 5
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Abstract

The construction of efficient iterative linear equation solvers for ill-conditioned general symmetric positive definite systems is discussed. Certain known two-level conjugate gradient preconditioning techniques are presented in a uniform way and are further generalized and optimized with respect to the spectral or the K-condition numbers. The resulting constructions have shown to be useful for the solution of largescale ill-conditioned symmetric positive definite linear systems.