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Matrix multiplication on heterogeneous platforms

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4 Author(s)
Beaumont, O. ; Lab. de l''Inf. du Parallelisme, Ecole Normale Superieure de Lyon, France ; Boudet, V. ; Rastello, F. ; Robert, Y.

We address the issue of implementing 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 in a geometric framework 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

Published in:

Parallel and Distributed Systems, IEEE Transactions on  (Volume:12 ,  Issue: 10 )

Date of Publication:

Oct 2001

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