Singular perturbations arising in complex Newton's method

Year 2023, Volume: 52 Issue: 5, 1172 - 1178, 31.10.2023

Figen Çilingir

https://doi.org/10.15672/hujms.1132257

Abstract

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

Supporting Institution

TUBİTAK

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