The vector field

arising in the definition of the Newtonian graph of a complex univariate polynomial (Smale 1985, Shub et al. 1988, Kozen and Stefánsson 1997).

Kozen, D. and Stefánsson, K. "Computing the Newtonian Graph." J. Symb. Comput. 24, 125-136, 1997.

Shub, M.; Tischler, D.; Williams, R. F. "The Newtonian Graph of a Complex Polynomial." SIAM J. Math. Anal. 19, 246-256, 1988.

Smale, S. "On the Efficiency of Algorithms of Analysis." Bull. Amer. Math. Soc. 13, 87-121, 1985.

CITE THIS AS:

Weisstein, Eric W. "Newtonian Vector Field." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/NewtonianVectorField.html