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The Parallel Algorithm of Conjugate Gradient Method

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Advanced Environments, Tools, and Applications for Cluster Computing (IWCC 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2326))

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Abstract

In this paper authors investigate parallel implementation of a conjugate gradient algorithm used for solving a large system of linear algebraic equations. Computations were carried out using a heterogeneous cluster of PCs, working under control of Windows 2000 operating system and an MPI library, as well as a massive parallel processor machine Hitachi SR-2201. The authors implemented two versions of the algorithm in cluster computations: an algorithm with equally distributed data among all processors, and another one with distribution depending on the speed of each PC processor. Speedup in all implementations was investigated and the conclusions were drawn.

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References

  1. A. Chtchelkanova, C. Edwards, J. Gunnels, G. Morrow, J. Overleft, R. van de Geijn: Towards Usable and Lean Parallel Linear Algebra Libraries. CS-TR-96-09, 1996.

    Google Scholar 

  2. A. Gupta, V. Kumar, A. Sameh: Performance and Scalability of Preconditioned Conjugate Gradient Methods on Parallel Computers. IEEE Transactions on Parallel and Distributed Systems, vol. 6, no. 5, pp. 455–469, 1995.

    Article  Google Scholar 

  3. Jianming Jin: The Finite Element Method in Electromagnetics. John Wiley, New York, 1993.

    MATH  Google Scholar 

  4. A. Jordan: Theoretical Background of Parallel Electromagnetic Field Computations. The 10th International Symposium on Applied Electromagnetics and Mechanics, pp. 193–194, May 13–16, 2000, Tokyo, Japan.

    Google Scholar 

  5. P. S. Pacheco: A User’s Guide to MPI. USFCA, 1998.

    Google Scholar 

  6. W. Peterson: Fixed point technique in computing eddy currents within ferromagnetic conductors exposed to transverse magnetic field. Archives of electrical engineering, Vol. XLVII, no. 1, pp. 57–68, 1998.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Technical University of Bialystok, Grunwaldzka 11/15, 15-893, Bialystok, Poland

    Andrzej Jordan & Robert Piotr Bycul

Authors
  1. Andrzej Jordan
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  2. Robert Piotr Bycul
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Editor information

Editors and Affiliations

  1. Computer Science Department, University College Cork, College Road, Cork, Ireland

    Dan Grigoras

  2. Information and Computer Science Department, University of California, 444 Computer Science Building, Irvine, CA, 92697-3425, USA

    Alex Nicolau

  3. Laboratoire d’Informatique Fondamentale de Lille (LIFL), University Lille 1, 59655, Villeneuve d’Ascq, France

    Bernard Toursel

  4. LIP, University Paris 6, 8, rue du Capitaine Scott, 75015, Paris, France

    Bertil Folliot

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© 2002 Springer-Verlag Berlin Heidelberg

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Cite this paper

Jordan, A., Bycul, R.P. (2002). The Parallel Algorithm of Conjugate Gradient Method. In: Grigoras, D., Nicolau, A., Toursel, B., Folliot, B. (eds) Advanced Environments, Tools, and Applications for Cluster Computing. IWCC 2001. Lecture Notes in Computer Science, vol 2326. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47840-X_15

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  • DOI: https://doi.org/10.1007/3-540-47840-X_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43672-0

  • Online ISBN: 978-3-540-47840-9

  • eBook Packages: Springer Book Archive

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