Numerische Mathematik

, Volume 29, Issue 1, pp 45–58

Eine Methode zur berechnung sämtlicher Lösungen von Polynomgleichungssystemen

  • Franz-Josef Drexler
Article

DOI: 10.1007/BF01389312

Cite this article as:
Drexler, F. Numer. Math. (1977) 29: 45. doi:10.1007/BF01389312

A method for computing all solutions of systems of polynomial equations

Summary

In this paper a numerical method is given to compute all solutions of systemsT ofn polynomial equations inn unknowns on the only premises that the sets of solutions of these systems are finite. The method employed is that of “embedding”, i.e. the systemT is embedded in a set of systems which are successively solved, starting with one having solutions easily to compute and proceding toT in a finite series of steps. An estimation of the number of steps necessary is given. The practicability of the method is proved for all systemsT. Numerical examples and results are contained.

Subject Classifications

AMS (MOS): 65H10CR: 5.15

Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • Franz-Josef Drexler
    • 1
  1. 1.München 60Germany (Fed. Rep.)