Parallelization of divide-and-conquer eigenvector accumulation

  • Authors:
  • Wilfried N. Gansterer;Joachim Zottl

  • Affiliations:
  • Institute for Distributed and Multimedia Systems, University of Vienna, Vienna, Austria;Institute for Distributed and Multimedia Systems, University of Vienna, Vienna, Austria

  • Venue:
  • Euro-Par'05 Proceedings of the 11th international Euro-Par conference on Parallel Processing
  • Year:
  • 2005

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Abstract

This paper discusses and compares several parallelization strategies for tree-structured computations. In particular, we focus on the parallelization of the eigenvector accumulation process in divide-and-conquer eigensolvers, such as the recently developed block divide-and-conquer (BD&C) eigensolver. We describe a model algorithm for evaluating the performance of several parallel variants of this accumulation process, and we develop a block parallel approach which is shown to achieve good speedup in experiments on PC clusters.