Sparse systems solving on GPUs with GMRES |
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Authors: | Raphaël Couturier Stéphane Domas |
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Affiliation: | (1) Graduate School of Information Science & Technology, Hokkaido University, Sapporo, Japan;(2) Information Initiative Center, Hokkaido University, Sapporo, Japan |
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Abstract: | Scientific applications very often rely on solving one or more linear systems. When matrices are sparse, iterative methods are preferred to direct ones. Nevertheless, the value of nonzero elements and their distribution (i.e., the sketch of the matrix) greatly influence the efficiency of those methods (in terms of computation time, number of iterations, result precision) or simply prevent the convergence. |
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