Skip to main content
Log in

Using the method of dual quadratic solutions to solve systems of polynomial equations in the complex domain

  • Published:
Cybernetics and Systems Analysis Aims and scope

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

Access this article

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

Instant access to the full article PDF.

References

  1. N. Z. Shor and S. I. Stetsenko, Quadratic Extremal Problems and Nondifferentiable Optimization [in Russian], Naukova Dumka, Kiev (1989).

    Google Scholar 

  2. S. Smale, “Algorithms for solving equations,” Proc. Intern. Congr. Mathem., Berkeley (1986), pp. 13–14.

  3. M. A. Krasnosel'skii and T. P. Zabreiko, Geometrical Methods of Nonlinear Analysis [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  4. J.-C. Yakoubsohn, “Approximating the zeros of analytic functions by the exclusion algorithm,” Seminaire d'analyse numerique, Univ. Paul Sabatier, 1992–1993, part IV (1994).

  5. J. Renegart, “On the worst-case arithmetic complexity of approximating zeros of polynomials,”J. Complexity, No., 3, 90–113 (1987).

    MathSciNet  Google Scholar 

  6. P. Henrici, Applied and Computational Complex Analysis, Wiley, New York (1974).

    Google Scholar 

  7. P. Henrici and I. Gargantini, “Uniformly convergent algorithms for the simultaneous approximation of all zeros of a polynomial,” in: Constructive Aspects of the Fundamental Theorem of Algebra, Wiley, New York (1969), pp. 37–45.

    Google Scholar 

  8. S. Small, “Newton's method estimates from data at one point,” in: The Merging of Disciplines: New Directions in Pure, Applied, and Computational Mathematics, Springer, New York (1985), pp. 10–27.

    Google Scholar 

Download references

Authors

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 67–75, September–October, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shor, N.Z., Berezovskii, O.A. Using the method of dual quadratic solutions to solve systems of polynomial equations in the complex domain. Cybern Syst Anal 30, 686–692 (1994). https://doi.org/10.1007/BF02367749

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02367749

Keywords

Navigation