Static LU Decomposition on Heterogeneous Platforms

  • Authors:
  • Olivier Beaumont;Arnaud Legrand;Fabrice Rastello;Yves Robert

  • Affiliations:
  • LIP, UMR CNRS--ENS Lyon--INRIA 5668, Ecole Normale Supérieure de Lyon, France;LIP, UMR CNRS--ENS Lyon--INRIA 5668, Ecole Normale Supérieure de Lyon, France;LIP, UMR CNRS--ENS Lyon--INRIA 5668, Ecole Normale Supérieure de Lyon, France;LIP, UMR CNRS--ENS Lyon--INRIA 5668, Ecole Normale Supérieure de Lyon, France

  • Venue:
  • International Journal of High Performance Computing Applications
  • Year:
  • 2001

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Abstract

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.