## 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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