Newton's method applied to two quadratic equations in C[2] viewed as a global dynamical system
Author(s)
Bibliographic Information
Newton's method applied to two quadratic equations in C[2] viewed as a global dynamical system
（Memoirs of the American Mathematical Society, no. 891）
American Mathematical Society, 2008
Available at / 13 libraries
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references
Description and Table of Contents
Description
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:
Table of Contents
Introduction Fundamental properties of Newton maps Invariant 3-manifolds associated to invariant circles The behavior at infinity when $a=b=0$ The Farey blow-up The compactification when $a=b=0$ The case where $a$ and $b$ are arbitrary Bibliography.
by "Nielsen BookData"