@conference { ISI:000082482800093, title = {On the influence of the orthogonalization scheme on the parallel performance of GMRES}, booktitle = {EURO-PAR {\textquoteleft}98 PARALLEL PROCESSING}, series = {Lecture Notes in Computer Science}, volume = {1470}, year = {1998}, note = {4th International Euro-Par Conference on Parallel Processing, SOUTHAMPTON, ENGLAND, SEP 01-04, 1998}, pages = {751-762}, publisher = {Univ Southampton, Dept Electron \& Comp Sci, Concurrent Computat Grp}, organization = {Univ Southampton, Dept Electron \& Comp Sci, Concurrent Computat Grp}, 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.}, isbn = {3-540-64952-2}, issn = {0302-9743}, author = {Fraysse, V and Giraud, L and Kharraz-Aroussi, H}, editor = {Pritchard, D and Reeve, J} }