Bifurcation set, M-tameness, asymptotic critical values and Newton polyhedrons
نویسندگان
چکیده
منابع مشابه
Basins of Newton Maps and Asymptotic Values
Newton’s root finding method applied to a (transcendental) entire function f : C → C is the iteration of a meromorphic function Nf . It is well known that if for some starting value z0, Newton’s method converges to a point ξ ∈ C, then f has a root at ξ. We show that in many cases, if an orbit converges to ξ = ∞ for Newton’s method, then f has a ‘virtual root’ at ∞. More precisely, we show that ...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 2013
ISSN: 0386-5991
DOI: 10.2996/kmj/1364562720