Inventiones mathematicae

, Volume 144, Issue 2, pp 233–239 | Cite as

Sinks in Newton´s means

  • Tomasz Nowicki
  • 49 Downloads

Abstract.

The iterates of the dynamical system defined by Newton's means for n≥2 complex variables converge rapidly to a point of equal coordinates when the convex hull of starting points does not contain 0.

Keywords

Dynamical System Hull Convex Hull Complex Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Tomasz Nowicki
    • 1
  1. 1.IBM Watson Research Center, Route 134 Kitchawan Road, Yorktown Heights NY 10598, USA (email: {mmartens, tnowicki}@us.ibm.com)US

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