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Parallel LU Factorization of Band Matrices on SMP Systems

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High Performance Computing and Communications (HPCC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4208))

Abstract

In this paper we present two routines for the LU factorization of band matrices that target (parallel) SMP architectures and expose coarser-grain parallelism than their LAPACK counterpart. Preliminary experimental results on two different parallel platforms show some initial benefits for the new approach.

This research was supported by the CICYT project TIN2005-09037-C02-02 and FEDER, and project No. P1B-2004-6 of the Fundación Caixa-Castelló /Bancaixa and UJI.

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References

  1. Anderson, E., Bai, Z., Demmel, J., Dongarra, J.E., DuCroz, J., Greenbaum, A., Hammarling, S., McKenney, A.E., Ostrouchov, S., Sorensen, D.: LAPACK Users’ Guide. SIAM, Philadelphia (1992)

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  2. Croz, J.D., Mayes, P., Radicati, G.: Factorization of band matrices using level 3 BLAS. LAPACK Working Note 21, Technical Report CS-90-109, University of Tennessee (July 1990)

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  3. Remón, A., Quintana-Ortí, E.S., Quintana-Ortí, G.: Performance evaluation of LAPACK codes for the LU factorization of band matrices using serial and multithreaded BLAS. Technical report, Depto. de Ingeniería y Ciencia de Computadores, Universidad Jaume I (in preparation, 2006)

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Author information

Authors and Affiliations

  1. Depto. de Ingeniería y Ciencia de Computadores, Universidad Jaume I, 12.071, Castellón, Spain

    Alfredo Remón, Enrique S. Quintana-Ortí & Gregorio Quintana-Ortí

Authors
  1. Alfredo Remón
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  2. Enrique S. Quintana-Ortí
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  3. Gregorio Quintana-Ortí
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Editor information

Editors and Affiliations

  1.  ,  

    Michael Gerndt

  2. GUP, Institute of Graphics and Parallel Processing, Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz, Austria

    Dieter Kranzlmüller

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© 2006 Springer-Verlag Berlin Heidelberg

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Remón, A., Quintana-Ortí, E.S., Quintana-Ortí, G. (2006). Parallel LU Factorization of Band Matrices on SMP Systems. In: Gerndt, M., Kranzlmüller, D. (eds) High Performance Computing and Communications. HPCC 2006. Lecture Notes in Computer Science, vol 4208. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11847366_12

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  • DOI: https://doi.org/10.1007/11847366_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-39368-9

  • Online ISBN: 978-3-540-39372-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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