Skip to main content
SpringerLink
Log in

Methods of high-speed division which are based on iterative processes

  • Published:
Cybernetics Aims and scope

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

Literature Cited

  1. L. A. Lyusternik, O. A. Chervonenkis, and A. R. Yampol'skii, Mathematical Analysis. Computation of Elementary Functions [in Russian], GIFML, Moscow (1963).

    Google Scholar 

  2. B. A. Popov and G. S. Tesler, “Economical initial approximations for calculating elementary functions on a digital computer,” in: Algorithms and Programs for Calculating Functions on an Electronic Computer [in Russian], No. 1, Izd. Inst. Kibernetiki Akad. Nauk UkrSSR, Kiev (1972).

    Google Scholar 

  3. B. A. Popov and G. S. Tesler, “Quadratic approximation of analytically stipulated functions with the least relative error,” in: Algorithms and Programs for Calculating Functions on an Electronic Digital Computer [in Russian], No. 1, Izd. Inst. Kibernetiki Akad. Nauk UkrSSR, Kiev (1972).

    Google Scholar 

  4. B. A. Popov and G. S. Tesler, “Approximation of elementary functions by an expression of the form y0=A+W(x+B)2,” in: Algorithms and Programs for Calculating Functions on an Electronic Digital Computer [in Russian], No. 1, Izd. Inst. Kibernetiki Akad. Nauk UkrSSR, Kiev (1972).

    Google Scholar 

  5. R. K. Richards, Arithmetic Operations in Digital Computers, Van Nostrand Reinhold, New York (1955).

    Google Scholar 

  6. G. S. Tesler, “Methods for calculating a certain class of functions on a digital computer,” in: Software of Electronic Computers and Effective Organization of the Computing Process [in Russian], No. 2, Izd. Inst. Kibernetiki Akad. Nauk UkrSSR, Kiev (1967).

    Google Scholar 

  7. G. S. Tesler, “Calculation of certain elementary functions on a digital computer,” in: Software of Electronic Computers and Effective Organization of the Computing Process [in Russian], No. 2, Izd. Inst. Kibernetiki Akad. Nauk UkrSSR, Kiev (1967).

    Google Scholar 

  8. G. S. Tesler, “Approximation of elementary functions by means of polynomials of the zeroth and first degree,” in: Software of Electronic Computers and Effective Organization of the Computing Process [in Russian], No. 2, Izd. Inst. Kibernetiki Akad. Nauk UkrSSR, Kiev (1969).

    Google Scholar 

  9. G. S. Tesler, “Expansion of elementary functions into series of discrepancies,” in: Algorithms of Programs for Calculating Functions on Electronic Digital Computers [in Russian], No. 1, Izd. Inst. Kibernetiki Akad. Nauk UkrSSR, Kiev (1972).

    Google Scholar 

  10. M. V. Wilkes, G. V. Wheeler, and S. Gill, Formulation of Programs for Electronic Computers [Russian translation], IL, Moscow (1953).

    Google Scholar 

  11. M. Ahmad, “Iterative schemes for high-speed division,” Comput. J.,15, No. 4 (1972).

    Google Scholar 

  12. D. Ferrari, “A division method, a parallel multiplier”, IEEE Trans. Electron. Comput.EC-16, No. 2 (1967).

    Google Scholar 

  13. M. J. Flynn, “On division by functional iteration,” IEEE Trans. Comput.,C-19, No. 8 (1970).

    Google Scholar 

  14. E. V. Krishnamurthy, “On optimal iterative schemes for high-speed division,” IEEE Trans. Comput.,C-19, March (1970).

  15. P. Rabinowitz, “Multiple precision division”, Commun. ACM,4, February (1961).

  16. Tien Chi-chen, “Automatic computation of exponentials, logarithms, ratios, and square roots,” IBM J.,16, No. 4 (1972).

Download references

Authors
  1. I. V. Sergienko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. S. Tesler
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Kibernetika, No. 6, pp. 21–25, November–December, 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sergienko, I.V., Tesler, G.S. Methods of high-speed division which are based on iterative processes. Cybern Syst Anal 10, 945–950 (1974). https://doi.org/10.1007/BF01069434

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01069434

Keywords

Search

Navigation