Newton's method applied to two quadratic equations in C[2] viewed as a global dynamical system
著者
書誌事項
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
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注記
Includes bibliographical references
内容説明・目次
内容説明
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:
目次
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.
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