A simple homotopy method for determining all isolated solutions to polynomial systems

@inproceedings{Zulehner1988ASH,
  title={A simple homotopy method for determining all isolated solutions to polynomial systems},
  author={Walter Zulehner},
  year={1988}
}
A new homotopy method for solving systems of polynomial equations is presented. The homotopy equation is extremely simple: It is linear with respect to the homotopy parameter and only one auxiliary parameter is needed to regularize the problem. Within some limits, an arbitrary starting problem can be chosen, as long as its solution set is known. No restrictions on the polynomial systems are made. A few numerical tests are reported which show the influence of the auxiliary parameter, resp. the… CONTINUE READING

Similar Papers

Figures, Tables, and Topics from this paper.

References

Publications referenced by this paper.
SHOWING 1-10 OF 11 REFERENCES

MeravV, "Solving systems of polynomial equations by bounded and real homotopy,

P. P. BrunovskV
  • Numer. Math.,
  • 1984
VIEW 2 EXCERPTS

, " A PL homotopy for finding all roots of a polynomial H . W . Kuhn , " Finding roots of polynomials by pivoting , " in Fixed Points : Algorithms and Applications

N. Arima
  • Math . Programming
  • 1983