Repeated compositions of Möbius transformations
نویسندگان
چکیده
منابع مشابه
On iterates of Möbius transformations on fields
Let p be a quadratic polynomial over a splitting field K, and S be the set of zeros of p. We define an associative and commutative binary relation on G ≡ K∪{∞}−S so that every Möbius transformation with fixed point set S is of the form x “plus” c for some c. This permits an easy proof of Aitken acceleration as well as generalizations of known results concerning Newton’s method, the secant metho...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2018
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2018.43