TY  - BOOK
AU  - Hubbard,John H.
AU  - Papadopol,Peter
TI  - Newton's method applied to two quadratic equations in $\mathbb{C}^2$ viewed as a global dynamical system
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470404970 (online)
AV  - QA377 .H83 2008
U1  - 515/.39 22
PY  - 2008///
CY  - Providence, RI
PB  - American Mathematical Society
KW  - Newton-Raphson method
KW  - Equations, Quadratic
KW  - Differentiable dynamical systems
N1  - Includes bibliographical references; 0. Introduction; 1. Fundamental properties of Newton maps; 2. Invariant 3-manifolds associated to invariant circles; 3. The behavior at infinity when $a$ = $b$ = 0; 4. The Farey blow-up; 5. The compactification when $a$ = $b$ = 0; 6. The case where $a$ and $b$ are arbitrary; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0891
UR  - http://dx.doi.org/10.1090/memo/0891
ER  -