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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 65
Edited by: B.H.V. Topping
Paper II.1

Effect of Ordering on the Performance of Sparse Approximate Inverse Preconditioners

E. Flórez, M.D. Garcia, L. González and G. Montero

Department of Mathematics, University of Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Spain

Full Bibliographic Reference for this paper
, "Effect of Ordering on the Performance of Sparse Approximate Inverse Preconditioners", in B.H.V. Topping, (Editor), "Finite Elements: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 25-34, 2000. doi:10.4203/ccp.65.2.1
We experimentally study how the reordering techniques affect the rate of convergence of preconditioned Krylov subspace methods for nonsymmetric sparse linear systems, where the preconditioner is a sparse approximate inverse. In addition, we show how the reordering reduces the number of entries in the approximate inverse and thus, the amount of storage requirement and computations for a given accuracy. These properties are illustrated with several numerical experiments taken from the discretization of PDE by a finite element method and from a standard matrix collection.

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