Performance Evaluation of Parallel Gram-Schmidt Re-orthogonalization Methods

  • Takahiro Katagiri
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2565)

Abstract

In this paper, the performance of the five kinds of parallel reorthogonalization methods by using the Gram-Schmidt (G-S) method is reported. Parallelization of the re-orthogonalization process depends on the implementation of G-S orthogonalization process, i.e. Classical G-S (CG-S) and Modified G-S (MG-S). To relax the parallelization problem, we propose a new hybrid method by using both the CG-S and MG-S. The HITACHI SR8000/MPP of 128 PEs, which is a distributed memory super-computer, is used in this performance evaluation.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Takahiro Katagiri
    • 1
    • 2
  1. 1.PRESTO, Japan Science and Technology Corporation (JST) JST Katagiri Laboratory, Computer Centre Division, Information Technology CenterThe University of TokyoBunkyo-ku, TokyoJAPAN
  2. 2.Department of Information Network ScienceGraduate School of Information Systems, The University of Electro-CommunicationsChoufu-shi, TokyoJAPAN

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