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On the influence of the orthogonalization scheme on the parallel performance of GMRES
Titre | On the influence of the orthogonalization scheme on the parallel performance of GMRES |
Publication Type | Conference Paper |
Year of Publication | 1998 |
Authors | Fraysse, V, Giraud, L, Kharraz-Aroussi, H |
Editor | Pritchard, D, Reeve, J |
Conference Name | EURO-PAR `98 PARALLEL PROCESSING |
Publisher | Univ Southampton, Dept Electron & Comp Sci, Concurrent Computat Grp |
ISBN Number | 3-540-64952-2 |
Abstract | In Krylov-based iterative methods, the computation of an orthonormal basis of the Krylov space is a key issue in the algorithms because the many scalar products are often a bottleneck in parallel distributed environments. Using GMRES, we present a comparison of four variants of the Gram-Schmidt process on distributed memory machines. Our experiments are carried on an application in astrophysics and on a convection-diffusion example. We show that the iterative classical Gram-Schmidt method overcomes its three competitors in speed and in parallel scalability while keeping robust numerical properties.
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