Singular perturbations arising in complex Newton's method

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

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

Keywords:

Julia set, Newton method, rational iteration singular perturbations,

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