Skip to main content
SpringerLink
Log in

Evaluation of a rational function

  • Published:
Numerical Algorithms Aims and scope Submit manuscript

Abstract

Evaluation of a given rational function can be carried out in various ways, such as by Horner's method, directly through a continued fraction representation, or by a subsequent process that uses three-term recurrences. Four such algorithms are summarized, and their relative performances when they are implemented using a parallel architecture (a four-node transputer system) is investigated.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R.A. Andrews, A.G. Law, R.S. Sloboda and A.D. Strilaeff, Application of orthogonal elements in a-priori reconstruction: Fourier and polynomial techniques,Proc. IEEE Conf. on Communications, Computers and Signal Processing, Victoria, Canada (June 1–2, 1989) pp. 83–86.

  2. E.W. Cheney,Introduction to Approximation Theory, 2nd ed. (Chelsea Publ., New York, 1982).

    Google Scholar 

  3. L. Jodar and A.G. Law, Orthogonal polynomials for approximate solutions to large tridagonal systemsY″−TY=F(t): initial value problems, IMACS Ann. Comp. Appl. Math. 9 (1991) 305–308.

    Google Scholar 

  4. A.G. Law and A. Rezazadeh, Performance of SVD and LU decomposition with a block AP, for reconstruction, Congr. Numer. 75 (1990) 151–158.

    MathSciNet  Google Scholar 

  5. A.G. Law and A.D. Strilaeff, Orthogonal polynomials in a-priori image reconstruction: theory and computation, in:Approximation, Optimization and Computing: Theory and Applications (North-Holland, 1990) pp. 331–335.

  6. A. Rezazadeh, A.G. Law, C.N. Zhang and J.H. Weston, A role for generalized inverses in designing systolic arrays, to appear in: Congr. Numer. (1992).

  7. G. Szegö,Orthogonal Polynomials, 3rd ed., Amer. Math. Soc. Colloquium Publ. vol. 23 (AMS, Providence, 1967).

    Google Scholar 

  8. C.N. Zhang, A.G. Law and A. Rezazadeh, Designing VLSI systolic arrays with complex processing elements,Proc. 1st Great Lakes Symp. on VLSI, Kalamazoo, MI (1991) pp. 207–212.

  9. C.N. Zhang, A.G. Law and A. Rezazadeh, A systematic approach for designing systolic arrays,Proc. 2nd Greak Lakes Symp. on VLSI, Kalamazoo, MI (1992) pp. 130–137.

Download references

Author information

Authors and Affiliations

  1. University of Regina, S4S 0A2, Canada

    A. G. Law, C. N. Zhang & A. Rezazadeh

  2. Universidad Politecnica de Valencia, Valencia, Spain

    L. Jódar

Authors
  1. A. G. Law
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. N. Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Rezazadeh
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. L. Jódar
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Law, A.G., Zhang, C.N., Rezazadeh, A. et al. Evaluation of a rational function. Numer Algor 3, 265–271 (1992). https://doi.org/10.1007/BF02141935

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02141935

Keywords

Search

Navigation