GMRES Method on Lightweight GRID System

Grid computing accomplishes high throughput computing by using a very large number of unexploited computing resources. We present a parallel method GMRES to solve large sparse linear systems by the use of a lightweight grid XtremWeb. This global computing platform, just as many popular grid systems, is devoted to multi-parameters generic-applications. We have implemented an important algorithm GMRES which is one of the key methods to resolve large, non-symmetric, linear problems. We discuss the performances of this algorithm deployed on two XtremWeb networks: a local network with 128 non-dedicated PCs in Polytech-Lille of University of Lille I in France, a remote network with 3 clusters of SCGN grid that includes 91 CPUs totally in the High Performance Center for Computer Science of University of Tsukuba in Japan. We compare these performances with those of a MPI implementation of GMRES on the same platform. We present the advantages and shortcomings of our implementation on this lightweight grid XtremWeb