WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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COAR Access Rights: search.filters.coarAccessRights.open accessSubject: search.filters.subject.Newton'S Method

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  • Article
    Citation - WoS: 1
    Citation - Scopus: 2
    On Newton's Method Applied To Real Polynomials
    (Taylor & Francis Ltd, 2012) Jarque, Xavier; Cilingir, Figen
    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 the polynomial P, if deg(Q) = 1, then there is at least one immediate basin of attraction having infinite area.