Work

Singular perturbations arising in complex Newton's method

Year: 2023

Type: article

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 $(z^2 + c)(z-1).$

Source: Hacettepe Journal of Mathematics and Statistics

DOI: 10.15672/hujms.1132257

Author: Figen ÇİLİNGİR

Institution: Iğdır Üniversitesi

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Türkiye Bilimsel ve Teknolojik Araştırma Kurumu

OpenAlex ID: W4385847232

FWCI: 0.47

Cites: 5

Cited by: 2

Related to: 10