Sinks in Newton’s means

Tomasz Nowicki

doi:10.1007/s002220100131

Inventiones Mathematicae

Paper

01 Dec 2001

Sinks in Newton's means

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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. © Springer-Verlag 2001.

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