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A parallel implementation of the block preconditioned GCR method

  • Workshop: High Performance Numerical Computation and Applications
  • Conference paper
  • First Online:
High-Performance Computing and Networking (HPCN-Europe 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1593))

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Abstract

The parallel implementation of GCR is addressed, with particular focus on communication costs associated with orthogonalization processes. This consideration brings up questions concerning the use of Householder reflections with GCR. To precondition the GCR method a block Gauss-Jacobi method is used. Approximate solvers are used to obtain a solution of the diagonal blocks. Experiments on a cluster of HP workstations and on a Cray T3E are given.

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Author information

Authors and Affiliations

  1. Faculty of Information Technology and Systems, Department of Technical Mathematics and Informatics, Delft University of Technology, P.O. Box 5031, 2600 GA, Delft, The Netherlands

    C. Vuik & J. Frank

  2. Center for Mathematics and Computer Science (CWI), P.O. Box 94079, 1090 GB, Amsterdam, The Netherlands

    J. Frank

Authors
  1. C. Vuik
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  2. J. Frank
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Editor information

Peter Sloot Marian Bubak Alfons Hoekstra Bob Hertzberger

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© 1999 Springer-Verlag

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Vuik, C., Frank, J. (1999). A parallel implementation of the block preconditioned GCR method. In: Sloot, P., Bubak, M., Hoekstra, A., Hertzberger, B. (eds) High-Performance Computing and Networking. HPCN-Europe 1999. Lecture Notes in Computer Science, vol 1593. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0100666

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  • DOI: https://doi.org/10.1007/BFb0100666

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65821-4

  • Online ISBN: 978-3-540-48933-7

  • eBook Packages: Springer Book Archive

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