- Hacettepe Journal of Mathematics and Statistics
- Cilt: 52 Sayı: 5
- Singular perturbations arising in complex Newton\'s method
Singular perturbations arising in complex Newton\'s method
Authors : Figen Çilingir
Pages : 1172-1178
Doi:10.15672/hujms.1132257
View : 256 | Download : 298
Publication Date : 2023-10-31
Article Type : Research
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