Volume 12, pp. 1-65, 2001.

Numerical experiments with algebraic multilevel preconditioners

Gérard Meurant


This paper numerically compares different algebraic multilevel preconditioners to solve symmetric positive definite linear systems with the preconditioned conjugate gradient algorithm on a set of examples arising mainly from discretization of second order partial differential equations. We compare several different smoothers, influence matrices and interpolation schemes.

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Key words

multilevel preconditioner, conjugate gradient.

AMS subject classifications

65F10, 65F50.

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