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Parallel implementations of Jacobi's algorithm for the eigensolution of large matrices using array processors

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Parallel Processing: CONPAR 92—VAPP V (VAPP 1992, CONPAR 1992)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 634))

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Abstract

In this paper two distinct ways of implementating a parallel version of Jacobi's algorithm are examined and each is implemented in two ways using a language which permits the use of a virtual array processor of arbitrary size. The performances of the four implementations of the algorithm for the computation of the eigensolution of matrices of maximum order 512 are compared when executed on an AMT DAP 510 and on an AMT DAP 610.

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References

  1. Fortran-Plus Enhanced, man 102.01, AMT (1990)

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  2. Modi, J. J., and J. D. Pryce, Efficient Implementation of Jacobi's Diagonalisation Method on the DAP, Numer. Math. 46, (1985) 443–454.

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Authors and Affiliations

  1. Department of Computing Science, University of Ulster at Colerainc, BT52 ISA, Coleraine, Northern Ireland

    J. S. Weston

  2. Department of Computer Science, The Queen's University of Belfast, BT7 1NN, Belfast, Northern Ireland

    M. Clint

  3. Parallel Computer Centre, The Queen's University of Belfast, BT7 1NN, Belfast, Northern Ireland

    C. W. Bleakney

Authors
  1. J. S. Weston
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  2. M. Clint
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  3. C. W. Bleakney
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Editor information

Luc Bougé Michel Cosnard Yves Robert Denis Trystram

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© 1992 Springer-Verlag Berlin Heidelberg

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Weston, J.S., Clint, M., Bleakney, C.W. (1992). Parallel implementations of Jacobi's algorithm for the eigensolution of large matrices using array processors. In: Bougé, L., Cosnard, M., Robert, Y., Trystram, D. (eds) Parallel Processing: CONPAR 92—VAPP V. VAPP CONPAR 1992 1992. Lecture Notes in Computer Science, vol 634. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55895-0_489

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  • DOI: https://doi.org/10.1007/3-540-55895-0_489

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55895-8

  • Online ISBN: 978-3-540-47306-0

  • eBook Packages: Springer Book Archive

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