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International Journal of High Performance Computing Applications
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Static LU Decomposition on Heterogeneous Platforms

Olivier Beaumont

LIP, UMR CNRS—ENS Lyon—INRIA 5668, Ecole Normale Supérieure de Lyon, France

Arnaud Legrand

LIP, UMR CNRS—ENS Lyon—INRIA 5668, Ecole Normale Supérieure de Lyon, France

Fabrice Rastello

LIP, UMR CNRS—ENS Lyon—INRIA 5668, Ecole Normale Supérieure de Lyon, France

Yves Robert

LIP, UMR CNRS—ENS Lyon—INRIA 5668, Ecole Normale Supérieure de Lyon, France

In this paper, the authors deal with algorithmic issues on heterogeneous platforms. They concentrate on dense linear algebra kernels, such as matrix multiplication or LU decomposition. Block-cyclic distribution techniques used in ScaLAPACK are no longer sufficient to balance the load among processors running at different speeds. The main result of this paper is to provide a static data distribution scheme that leads to an asymptotically perfect load balancing for LU decomposition, thereby providing solid foundations toward the design of a cluster-oriented version of ScaLAPACK.

International Journal of High Performance Computing Applications, Vol. 15, No. 3, 310-323 (2001)
DOI: 10.1177/109434200101500308


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