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2008 IEEE International Symposium on Parallel and Distributed Processing
On the representation and multiplication of hypersparse matrices
Miami, FL, USA
April 14-April 18
ISBN: 978-1-4244-1693-6
Aydin Buluc, Department of Computer Science, University of California, Santa Barbara, USA
John R. Gilbert, Department of Computer Science, University of California, Santa Barbara, USA
Multicore processors are marking the beginning of a new era of computing where massive parallelism is available and necessary. Slightly slower but easy to parallelize kernels are becoming more valuable than sequentially faster kernels that are unscalable when parallelized. In this paper, we focus on the multiplication of sparse matrices (SpGEMM). We first present the issues with existing sparse matrix representations and multiplication algorithms that make them unscalable to thousands of processors. Then, we develop and analyze two new algorithms that overcome these limitations. We consider our algorithms first as the sequential kernel of a scalable parallel sparse matrix multiplication algorithm and second as part of a polyalgorithm for SpGEMM that would execute different kernels depending on the sparsity of the input matrices. Such a sequential kernel requires a new data structure that exploits the hypersparsity of the individual submatrices owned by a single processor after the 2D partitioning. We experimentally evaluate the performance and characteristics of our algorithms and show that they scale significantly better than existing kernels.
Citation:
Aydin Buluc, John R. Gilbert, "On the representation and multiplication of hypersparse matrices," ipdps, pp.1-11, 2008 IEEE International Symposium on Parallel and Distributed Processing, 2008
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