Matrix-matrix multiplication on heterogeneous platforms

Olivier Beaumont 1 Vincent Boudet 1 Fabrice Rastello 1 Yves Robert 1
1 REMAP - Regularity and massive parallel computing
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
Abstract : In this paper, we address the issue of implementing matrix-matrix multiplication on heterogeneous platforms. We target two different classes of heterogeneous computing resources: heterogeneous networks of workstations, and collections of heterogeneous clusters. Intuitively, the problem is to load balance the work with different-speed resources while minimizing the communication volume. We formally state this problem and prove its NP-completeness. Next we introduce a (polynomial) column-based heuristic, which turns out to be very satisfactory: we derive a theoretical performance guarantee for the heuristic, and we assess its practical usefulness through MPI experiments
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Submitted on : Monday, September 2, 2013 - 10:22:01 AM
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Olivier Beaumont, Vincent Boudet, Fabrice Rastello, Yves Robert. Matrix-matrix multiplication on heterogeneous platforms. 2000 International Conference on Parallel Processing (ICPP'2000), 2000, Toronto, Canada. IEEE Computer Society Press, pp.289-298, 2000, 〈10.1109/ICPP.2000.876144〉. 〈hal-00856648〉



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