Acta Applicandae Mathematica

, Volume 13, Issue 1, pp 3–58

Newton's method and complex dynamical systems

Authors

  • F. v. Haeseler
    • Institut für Dynamische Systeme Universität Bremen
  • H. O. Peitgen
    • Institut für Dynamische Systeme Universität Bremen
    • Department of Mathematics UCSC
Article

DOI: 10.1007/BF00047501

Cite this article as:
Haeseler, F.v. & 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)

30D0565H05

Key words

Newton methoditeration of rational functionsMandelbrot setpolynomial-like mappings

Copyright information

© Kluwer Academic Publishers 1988