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Exact Sparse Matrix-Vector Multiplication on GPU’s and Multicore Architectures

Brice Boyer, Jean-Guillaume Dumas, Pascal Giorgi
Universite de Grenoble, Laboratoire Jean Kuntzmann, UMR CNRS 5224. 51, rue des Mathematiques, BP 53X, 38041 Grenoble, France
International Symposium on Parallel Symbolic Computation, Grenoble : France (2010); arXiv:1004.3719 [cs.DC] (21 Apr 2010)

@conference{boyer2010exact,

   title={Exact sparse matrix-vector multiplication on GPU’s and multicore architectures},

   author={Boyer, B. and Dumas, J.G. and Giorgi, P.},

   booktitle={Proceedings of the 4th International Workshop on Parallel and Symbolic Computation},

   pages={80–88},

   year={2010},

   organization={ACM}

}

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We propose different implementations of the sparse matrix–dense vector multiplication (spmv{}) for finite fields and rings $Zb/mZb$. We take advantage of graphic card processors (GPU) and multi-core architectures. Our aim is to improve the speed of spmv{} in the linbox library, and henceforth the speed of its black box algorithms. Besides, we use this and a new parallelization of the sigma-basis algorithm in a parallel block Wiedemann rank implementation over finite fields.
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