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Validation Numerics pp 287–291Cite as

Implementation of Accurate Matrix Multiplication on the CM-2

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Part of the book series: Computing Supplementum ((COMPUTING,volume 9))

Abstract

Implementation of Accurate Matrix Multiplication on the CM-2 In this paper we report about a parallel implementation of matrix multiplication in the sense of Kulisch’s arithmetic definition. Using the architectural support of the CM-2 the prize for accuracy compared to rounded Software arithmetic is not too high.

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References

  1. Bohlender, G., Wolff v. Gudenberg, J.: Accurate matrix multiplication on the array Computer AMT-DAP. In: Kaucher, E., Markov, S. M., Mayer, G. (eds.) Computer arithmetic, scientific computation, and mathematical modelling. IMACS Annals on Computing and Applied Mathematics 12, 133–150 (1991).

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  5. Tichy, W.: Parallel matrix multiplication on the connection machine. Int. Journal of High Speed Computing 1(2), 247 – 262 (1989).

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  6. Wolff v. Gudenberg, J.: Accurate matrix operations on hypercube Computers. In: Herzberger, J., Atanassova, L. (eds) Computer arithmetic and closure methods, 167 – 176. Amsterdam: North-Holland 1992.

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  7. Wolff v. Gudenberg, J.: Grundroutinen für sichere, numerische Algorithmen auf Parallelrechnern. Wiss. Berichte der TH Leipzig 1991, 421–426.

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Author information

Authors and Affiliations

  1. Gudenberg Lehrstuhl für Informatik II, Universität Würzburg, Am Hubland, D-W-8700, Würzburg, Federal Republic of Germany

    J. Wolff v. Gudenberg

Authors
  1. J. Wolff v. Gudenberg
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Editor information

Editors and Affiliations

  1. Institut für Informatik, Universität Innsbruck, Austria

    R. Albrecht

  2. Institut für Angewandte Mathematik, Universität Karlsruhe, Federal Republic of Germany

    G. Alefeld

  3. Institut für Angewandte und Numerische Mathematik, Technische Universität Wien, Austria

    H. J. Stetter

Additional information

Dedicated to Professor U. Kulisch on the occasion of his 60th birthday

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© 1993 Springer-Verlag

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Wolff v. Gudenberg, J. (1993). Implementation of Accurate Matrix Multiplication on the CM-2. In: Albrecht, R., Alefeld, G., Stetter, H.J. (eds) Validation Numerics. Computing Supplementum, vol 9. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6918-6_20

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  • DOI: https://doi.org/10.1007/978-3-7091-6918-6_20

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82451-1

  • Online ISBN: 978-3-7091-6918-6

  • eBook Packages: Springer Book Archive

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