Newton's Method Applied to Two Quadratic Equations in $mathbb{C}2$ Viewed as a Global Dynamical System (Memoirs of the American Mathematical Society) - Softcover

Hubbard, John H.; Papadopol, Peter

 
9780821840566: Newton's Method Applied to Two Quadratic Equations in $mathbb{C}2$ Viewed as a Global Dynamical System (Memoirs of the American Mathematical Society)

Synopsis

The authors study the Newton map $N:\mathbb{C 2\rightarrow\mathbb{C 2$ associated to two equations in two unknowns, as a dynamical system. They focus on the first non-trivial case: two simultaneous quadratics, to intersect two conics. In the first two chapters, the authors prove among other things:

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