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Over 10 TFLOPS Computation for a Huge Sparse Eigensolver on the Earth Simulator

In: High Performance Computing on Vector Systems

Author

Listed:
  • Toshiyuki Imamura

    (the University of Electro-Communications, Department of Computer Science)

  • Susumu Yamada

    (Japan Atomic Energy Agency, Center for Computational Science and Engineering)

  • Masahiko Machida

    (Japan Atomic Energy Agency, Center for Computational Science and Engineering
    CREST, JST)

Abstract

To investigate a possibility of special physical properties like superfluidity, we implement a high performance exact diagonalization code for the trapped Hubbard model on the Earth Simulator. From the numerical and computational point of view, it is found that the performance of the preconditioned conjugate gradient (PCG) method is excellent in our case. It is 1.5 times faster than the conventional Lanczos one since it can conceal the communication overhead much more effectively. Consequently, the PCG method shows 16.14 TFLOPS on 512 nodes. Furthermore, we succeed in solving a 120-billion-dimensional matrix. To our knowledge, this dimension is a world-record.

Suggested Citation

  • Toshiyuki Imamura & Susumu Yamada & Masahiko Machida, 2006. "Over 10 TFLOPS Computation for a Huge Sparse Eigensolver on the Earth Simulator," Springer Books, in: Michael Resch & Thomas Bönisch & Katharina Benkert & Wolfgang Bez & Toshiyuki Furui & Yoshiki Seo (ed.), High Performance Computing on Vector Systems, pages 51-61, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-35074-3_4
    DOI: 10.1007/3-540-35074-8_4
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