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Efficient implementation of a Lanczos Eigenvalue solver on a Cray T3E-900

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High-Performance Computing and Networking (HPCN-Europe 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1401))

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Abstract

An analysis of the performance of an Lanczos Eigenvalue Solver routine on a Cray T3E-900 MPP is described. The analysis based on the Amdahl law is presented for essentially non-sparse matrices. Efforts were done to reduce the sequential fraction of the code below 1%. It is proven that the collective communication of MPI can be very efficiently used on the Cray T3E to reduce the communication overhead of the parallel implementation. The results scale well up to 128 processing elements (PEs) for matrix dimensions of 8000, and is expected to scale better for higher dimensions.

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References

  1. M. Horoi and R. Enbody, Performance Analysis and Optimization of a Parallel Carbon Molecular Dynamic Code on a Cray T3E, submitted to ICPP98, URL: http://www.phy.cmich.edu/~horoi/post/icpp98.ps

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Peter Sloot Marian Bubak Bob Hertzberger

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© 1998 Springer-Verlag Berlin Heidelberg

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Horoi, M., Enbody, R. (1998). Efficient implementation of a Lanczos Eigenvalue solver on a Cray T3E-900. In: Sloot, P., Bubak, M., Hertzberger, B. (eds) High-Performance Computing and Networking. HPCN-Europe 1998. Lecture Notes in Computer Science, vol 1401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0037229

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  • DOI: https://doi.org/10.1007/BFb0037229

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64443-9

  • Online ISBN: 978-3-540-69783-1

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