Acta Applicandae Mathematica

, Volume 13, Issue 1, pp 3–58

Newton's method and complex dynamical systems

  • F. v. Haeseler
  • H. O. Peitgen
Article

DOI: 10.1007/BF00047501

Cite this article as:
Haeseler, F.. & Peitgen, H.O. Acta Appl Math (1988) 13: 3. doi:10.1007/BF00047501

Abstract

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 

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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