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The formal construction of a parallel triangular system solver

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Mathematics of Program Construction (MPC 1989)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 375))

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Abstract

A parallel program for the solution of a triangular system of equations is formally derived. The program assumes the grid distribution of the n×n triangular matrix across p=Q 2 processes. The complexity is n 2/p+O (n), both for a complete and for a square mesh communication network.

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References

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Authors and Affiliations

  1. Koninklijke/Shell-Laboratorium, Amsterdam (Shell Research B.V.), P.O. Box 3003, 1003 AA, Amsterdam, The Netherlands

    L. D. J. C. Loyens & R. H. Bisseling

Authors
  1. L. D. J. C. Loyens
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  2. R. H. Bisseling
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Editor information

J. L. A. van de Snepscheut

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© 1989 Springer-Verlag Berlin Heidelberg

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Loyens, L.D.J.C., Bisseling, R.H. (1989). The formal construction of a parallel triangular system solver. In: van de Snepscheut, J.L.A. (eds) Mathematics of Program Construction. MPC 1989. Lecture Notes in Computer Science, vol 375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51305-1_19

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  • DOI: https://doi.org/10.1007/3-540-51305-1_19

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51305-6

  • Online ISBN: 978-3-540-46191-3

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