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 f o r the heuristic, and we assess its practical usefulness through MPI experiments.
In REF , Beaumont et al. target matrix multiplication on heterogeneous platforms.
Matrix-matrix multiplication on heterogeneous platforms
Proceedings 2000 International Conference on Parallel Processing
Proceedings 2000 International Conference on Parallel Processing
Computer Science