Institute for Mathematical Sciences

Preprint ims00-01

J.H. Hubbard and P. Papadopol
Newton's Method Applied to Two Quadratic Equations in $C^2$ Viewed as a Global Dynamical System.

Abstract: In this paper, we will study Newton's method for solving two simultaneous quadratic equations in two variables. Presumably, there is no need to motivate a study of Newton's method, in one or several variables. The algorithm is of immense importance, and understanding its behavior is of obvious interest. It is perhaps harder to motivate the case of two simultaneous quadratic equations in two variables, but this is the simplest non-degenerate case.
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