Acta Applicandae Mathematica

, Volume 13, Issue 1–2, pp 3–58 | Cite as

Newton's method and complex dynamical systems

  • F. v. Haeseler
  • H. O. Peitgen


This article is devoted to the discussion of Newton's method. Beginning with the old results of A.Cayley and E.Schröder we proceed to the theory of complex dynamical systems on the sphere, which was developed by G.Julia and P.Fatou at the beginning of this century, and continued by several mathematicians in recent years.

AMS subject classifications (1980)

30D05 65H05 

Key words

Newton method iteration of rational functions Mandelbrot set polynomial-like mappings 


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Copyright information

© Kluwer Academic Publishers 1988

Authors and Affiliations

  • F. v. Haeseler
    • 1
  • H. O. Peitgen
    • 1
    • 2
  1. 1.Institut für Dynamische Systeme Universität BremenBremen 33FRG
  2. 2.Department of Mathematics UCSCSanta CruzUSA

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