Skip to main content

Solving linear recurrence systems on a Cray Y-MP

  • Conference paper
  • First Online:
Parallel Scientific Computing (PARA 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 879))

Included in the following conference series:

Abstract

Three divide-and-conquer algorithms for solving linear recurrence systems are introduced. Two of them are algorithms for the general case whereas the third is designed to take full advantage of the constant coefficient case. All three algorithms were implemented on an 8-processor Cray Y-MP and the results of experiments are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Borodin and I. Munro, The computational complexity of algebraic and numerical problems (American Elsevier, New York 1975).

    Google Scholar 

  2. D.A. Carlson, Solving linear recurrence systems on mesh-connected computers with multiple global buses, J. Parallel and Distrib. Comput. 8(1990) 89–95.

    Google Scholar 

  3. S.-C. Chen, Speedup of iterative programs in multiprocessing systems. Dissertation, University of Illinois at Urbana 1975.

    Google Scholar 

  4. S.-C. Chen and D.J. Kuck, Time and parallel processor bounds for linear recurrence systems. IEEE Trans, on Computers 24(1975) 701–717.

    Google Scholar 

  5. J. Dongarra and L. Johnsson, Solving Banded Systems on Parallel Processor. Parallel Comput. 5(1987) 219–246.

    Google Scholar 

  6. D. Heller, A survey of parallel algorithms in numerical linear algebra. SIAM Review 20(1978) 740–777.

    Google Scholar 

  7. A.C. Greenberg, R.E. Lander, M.S. Paterson and Z. Galil, Efficient parallel algorithms for linear recurrence computation, Inf. Proc. Letters 15(1982) 31–35.

    Google Scholar 

  8. D.J. Kuck, Structure of Computers and Computations (Wiley, New York, 1978).

    Google Scholar 

  9. J. Modi, Parallel Algorithms and Matrix Computations (Oxford University Press, Oxford, 1988).

    Google Scholar 

  10. M. Paprzycki and I. Gladwell, Solving Almost Block Diagonal Systems on Parallel Computers. Parallel Comput. 17(1991) 133–153.

    Google Scholar 

  11. M. Paprzycki and P. Stpiczyński, Solving linear recurrence systems on parallel computers, Proceedings of the Mardi Gras '94 Conference, Baton Rouge, Feb. 10–12, 1994 (Nova Science Publishers, New York, 1994) — to appear.

    Google Scholar 

  12. P. Stpiczyński, Parallel algorithms for solving linear recurrence systems, in: L. Bougé et al. eds., Lecture Notes in Computer Science 634, (Springer-Verlag, Berlin, 1992) 343–348.

    Google Scholar 

  13. P. Stpiczyński, Error analysis of two parallel algorithms for solving linear recurrence systems, Parallel Comput. 19(1993) 917–923.

    Google Scholar 

  14. P. Stpiczyński, M. Paprzycki and R. Daniel, Parallel algorithm for solving linear recurrence sytems with constant coefficients, in preparation.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jack Dongarra Jerzy Waśniewski

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Paprzycki, M., Stpiczyński, P. (1994). Solving linear recurrence systems on a Cray Y-MP. In: Dongarra, J., Waśniewski, J. (eds) Parallel Scientific Computing. PARA 1994. Lecture Notes in Computer Science, vol 879. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030170

Download citation

  • DOI: https://doi.org/10.1007/BFb0030170

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58712-5

  • Online ISBN: 978-3-540-49050-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics