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Computation of the eigenvalues of real symmetric matrices using a processor farm

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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

A parallel implementation of an algorithm to compute the eigenvalues of a real symmetric matrix using a MIMD machine is described. An array of Transputers configured in a ring topology is used as a processor farm for the computation. The speedup obtained by using P processors asymptotically approaches P when the size of (he problem becomes large.

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References

  1. Clint, M., Holt, R., Perrott, R. and Stewart, A. A comparison of two parallel algorithms for the symmetric eigenproblem, Int. Jnl. Comp. Math. 15 (1984) 291–302.

    Google Scholar 

  2. Clint, M., Holt, R., Perrott, R. and Stewart, A. DAP Fortran subroutine for the eigensolution of real symmetric matrices, Comput. J. 28 (1985) 340–342.

    Google Scholar 

  3. Golub, G. and van Loan, C. Matrix Computations, North Oxford Academic (1983).

    Google Scholar 

  4. Modi, J. J. and Pryce, J. D. Efficient implementation of Jacobi's diagonalisation method on the DAP, Num. Math. 46 (1985) 443–454.

    Google Scholar 

  5. Weston, J. S. and Clint, M. Two algorithms for the parallel computation of eigenvalues and eigenvectors of large symmetric matrices using the ICL DAP, Parallel Computing 13 (1990) 281–288

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  6. Waring, L. C. and Clint, M. Improved parallel Gram-Schmidt orthogonalisation on a network of transputers. Applications of Transputers 3, Durrani, T. S., Sandham, W. A., Soraghan, J. J. and Forbes, S. M. (Editors), (1991) vol 1, 117–122.

    Google Scholar 

  7. Waring, L. C. A general purpose communication shell for a network of Transputers, Microprocessing and Microprogramming 29, vol 2 (1989/90) 107–119.

    Google Scholar 

  8. The Occam 2 Reference Manual, INMOS Ltd.

    Google Scholar 

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Authors and Affiliations

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

    L. C. Waring & M. Clint

Authors
  1. L. C. Waring
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  2. M. Clint
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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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Waring, L.C., Clint, M. (1992). Computation of the eigenvalues of real symmetric matrices using a processor farm. 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_430

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  • DOI: https://doi.org/10.1007/3-540-55895-0_430

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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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