Abstract
By making use of a very large amount of unexploited computing resources, grid computing achieves high throughput computing. We present a classical parallel method GMRES (m) to solve large sparse linear systems utilizing a lightweight GRID system XtremWeb. XtremWeb is a global computing platform which is dedicated to multi-parameters generic applications. We have implemented this important algorithm GMRES (m) which is one of the key methods to resolve large, non-symmetric, linear problems on this system. We discuss as well the performances of this implementation deployed on two XtremWeb networks: a local network with 128 non-dedicated PCs in Polytech-Lille of University of Sciences and Technologies of Lille, France, a remote network with 3 clusters of SCGN Grid including 91 CPUs totally in the High Performance Computing Center of University of Tsukuba in Japan. We also performed the tests on the platform of supercomputer IBM SP4 of CINES in Montpellier, France. We compare the performances on the two different computing systems. The advantages and drawbacks of our implementations on this GRID computing system XtremWeb will be well explained.