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11 p, 476.9 KB On Newton’s method applied to real polynomials / Cilingir, Figen (Boston University. Dept. of Mathematics and Statistics) ; Jarque i Ribera, Xavier (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
It 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 P, if deg(Q) = 1, then there is at least one immediate basin of attraction having infinite area.
2012 - 10.1080/10236198.2010.547493
Journal of Difference Equations and Applications, Vol. 18 Núm. 6 (2012) , p. 1067-1076  

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