SINGULAR PERTURBATIONS ARISING IN COMPLEX NEWTON'S METHOD

doi:10.15672/hujms.1132257

DOI: 10.15672/hujms.1132257 ISSN:

SINGULAR PERTURBATIONS ARISING IN COMPLEX NEWTON'S METHOD

Figen ÇİLİNGİR

Geometry and Topology
Statistics and Probability
Algebra and Number Theory
Analysis

We examine the resulting dynamics when Newton's method is applied to perturbations of polynomials that have a multiple root. Specifically, we consider the case where Newton's method is applied to the polynomial family $(z^2 + c)(z-1)$.

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