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Solving Dense Symmetric Eigenproblems on the Cray T3D

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Abstract

The work reported upon here has been carried out within a project one aim of which is to construct, for execution on the Cray T3D, 1,2 efficient implementations of certain key routines selected from the Harwell Subroutine Library 3. A second aim of the project is to establish guidelines pertaining to the re-engineering of sequential software for parallel execution on the Cray T3D which can be drawn upon by others engaged in similar activity.

In this paper, a method for the eigensolution of real symmetric matrices is addressed. The algorithm and its parallel implementation are described in some detail. Results indicating the quality of performance of the parallel implementation are presented and some observations are made about the efficiency with which certain kernel operations of the implementation may be executed. Some guidelines are provided for applications programmers wishing to exploit distributed memory machines.

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References

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© 1999 Springer Science+Business Media New York

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Murphy, K., Clint, M., Perrott, R.H. (1999). Solving Dense Symmetric Eigenproblems on the Cray T3D. In: Allan, R.J., Guest, M.F., Simpson, A.D., Henty, D.S., Nicole, D.A. (eds) High-Performance Computing. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4873-7_8

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  • DOI: https://doi.org/10.1007/978-1-4615-4873-7_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7211-0

  • Online ISBN: 978-1-4615-4873-7

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