Jarque, XavierCilingir, Figen2017-03-142025-09-182017-03-142025-09-182012Çilingir, F., Jarque, X. (2012). On Newton's method applied to real polynomials. Journal Of Difference Equations And Applications, 18(6), 1067-1076. http://dx.doi.org/10.1080/10236198.2010.5474931023-61981563-5120https://doi.org/10.1080/10236198.2010.547493https://hdl.handle.net/20.500.12416/13012Jarque, Xavier/0000-0002-6576-9780It is known that if we apply Newton's method to the complex function F(z) = P(z)e(Q(z)), with deg(Q) > 2, then the immediate basin of attraction of the roots of P has finite area. In this paper, we show that under certain conditions on the polynomial P, if deg(Q) = 1, then there is at least one immediate basin of attraction having infinite area.eninfo:eu-repo/semantics/openAccessNewton'S MethodBasin Of AttractionRational IterationArticle10.1080/10236198.2010.5474932-s2.0-84865813557