Schleicher, Dierk On the number of iterations of Newton’s method for complex polynomials. (English) Zbl 1011.37024 Ergodic Theory Dyn. Syst. 22, No. 3, 935-945 (2002). The author uses methods from conformal geometry to give an explicit estimate for how many iterations of Newton’s method it takes, at most, to find all the roots of an arbitrary complex polynomial of fixed degree with prescribed precision. Reviewer: Viorel Vâjâitu (Bucureşti) Cited in 2 ReviewsCited in 13 Documents MSC: 37F10 Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets 37M99 Approximation methods and numerical treatment of dynamical systems Keywords:basin of attraction; conformal geometry PDFBibTeX XMLCite \textit{D. Schleicher}, Ergodic Theory Dyn. Syst. 22, No. 3, 935--945 (2002; Zbl 1011.37024) Full Text: DOI