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International Conference on Vector and Parallel Processing

VECPAR 2000: Vector and Parallel Processing — VECPAR 2000 pp 316–329Cite as

A Parallel Algorithm for Solving the Toeplitz Least Squares Problem

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1981))

Abstract

In this paper we present a parallel algorithm that solves the Toeplitz Least Squares Problem. We exploit the displacement structure of Toeplitz matrices and parallelize the Generalized Schur method. The stability problems of the method are solved by using a correction process based on the Corrected Semi-Normal Equations [10]. Other problems arising in the parallelization of the method, such as the data dependencies and high communication cost, have been addressed with an optimized distribution of the data, rearrangement of the computations, and with the design of new basic parallel subroutines. We have used standard tools like the ScaLAPACK library based on the MPI environment. Experimental results have been obtained in a cluster of personal computers with a high performance interconnection network.

Partially funded by the Spanish Government through the project CICYT TIC96- 1062-C03.

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References

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Author information

Authors and Affiliations

  1. Dpto. de Sistemas Informáticos y Computación, Univ. Politécnica de Valencia, Cno. Vera s/n, 46022, Valencia, Spain

    Pedro Alonso & Antonio M. Vidal

  2. Dpto. de Informática, Univ. Jaume I, Castellón, Spain

    José M. Badía

Authors
  1. Pedro Alonso
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  2. José M. Badía
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  3. Antonio M. Vidal
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Editor information

Editors and Affiliations

  1. Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias, 4200-465, Porto, Portugal

    José M. L. M. Palma

  2. Department of Computer Science, University of Tennessee, 37996-1301, Knoxville, TN, USA

    Jack Dongarra

  3. Departamento de Sistemas Informáticos y Computación, Universidad Politécnica de Valencia, Camino de Vera, s/n, Apartado 22012, E-46020, Valencia, Spain

    Vicente Hernández

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© 2001 Springer-Verlag Berlin Heidelberg

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Alonso, P., Badía, J.M., Vidal, A.M. (2001). A Parallel Algorithm for Solving the Toeplitz Least Squares Problem. In: Palma, J.M.L.M., Dongarra, J., Hernández, V. (eds) Vector and Parallel Processing — VECPAR 2000. VECPAR 2000. Lecture Notes in Computer Science, vol 1981. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44942-6_26

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  • DOI: https://doi.org/10.1007/3-540-44942-6_26

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41999-0

  • Online ISBN: 978-3-540-44942-3

  • eBook Packages: Springer Book Archive

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