Browsing by Author "Jarque, Xavier"
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Article Citation - WoS: 1Citation - Scopus: 2On Newton's Method Applied To Real Polynomials(Taylor & Francis Ltd, 2012) Jarque, Xavier; Cilingir, FigenIt 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.

