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International Workshop on Parallel Algorithms for Irregularly Structured Problems

IRREGULAR 1996: Parallel Algorithms for Irregularly Structured Problems pp 63–74Cite as

Parallel implementation of a sparse approximate inverse preconditioner

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1117))

Abstract

A parallel implementation of a sparse approximate inverse (spai) preconditioner for distributed memory parallel processors (dmpp) is presented. The fundamental spai algorithm is known to be a useful tool for improving the convergence of iterative solvers for ill-conditioned linear systems. The parallel implementation (parspai) exploits the inherent parallelism in the spai algorithm and the data locality on the dmpps, to solve structurally symmetric (but non-symmetric) matrices, which typically arise when solving partial differential equations (pdes). Some initial performance results are presented which suggest the usefulness of parspai for tackling such large size systems on present day dmpps in a reasonable time.

The parspai preconditioner is implemented using the Message Passing Interface (mpi) and is embedded in the parallel library for unstructured mesh problems (plump).

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Author information

Authors and Affiliations

  1. Swiss Center for Scientific Computing (CSCS/SCSC), CH-6928, Manno, Switzerland

    Vaibhav Deshpande, Peter Messmer & William Sawyer

  2. Courant Institute of Mathematical Sciences, 10012, New York, NY, USA

    Marcus J. Grote

Authors
  1. Vaibhav Deshpande
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  2. Marcus J. Grote
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  3. Peter Messmer
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  4. William Sawyer
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Editor information

Alfonso Ferreira José Rolim Yousef Saad Tao Yang

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© 1996 Springer-Verlag Berlin Heidelberg

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Deshpande, V., Grote, M.J., Messmer, P., Sawyer, W. (1996). Parallel implementation of a sparse approximate inverse preconditioner. In: Ferreira, A., Rolim, J., Saad, Y., Yang, T. (eds) Parallel Algorithms for Irregularly Structured Problems. IRREGULAR 1996. Lecture Notes in Computer Science, vol 1117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030097

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  • DOI: https://doi.org/10.1007/BFb0030097

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61549-1

  • Online ISBN: 978-3-540-68808-2

  • eBook Packages: Springer Book Archive

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