An evaluation towards automatically tuned eigensolvers

  • Authors:
  • Ken Naono;Toshiyuki Imamura

  • Affiliations:
  • Central Research Laboratory, Hitachi Ltd., Tokyo, Japan;Department of Computer Science, The University of Electro-Communications, Tokyo, Japan

  • Venue:
  • LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
  • Year:
  • 2005

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Abstract

We investigate an automatic tuning method for an eigensolver of a dense symmetric matrix. The aim of this paper is to investigate how to select the unrolling depth. To do this, we evaluate the performance of various unrolled reduction loops of the eigensolver for every matrix size from 3000 to 4000 on the Hitachi SR8000/F1 and on the IBM RS/6000 SP3. We also analyze the trend between Byte/Flop and performance for various patterns of loop unrolling. The result shows that the performance is degraded with higher depth of unrolling in some matrix sizes, where it does not occur with lower depth of unrolling. The result also shows that selection of the unrolling depth should be examined in the case of several matrix sizes.