On the complex dynamics of continued and discrete Cauchy's method

DOI10.1155/2015/162818zbMath1374.30013OpenAlexW2132310457WikidataQ59113065 ScholiaQ59113065MaRDI QIDQ1679938

Mohamed Lamine Sahari

Publication date: 22 November 2017

Published in: Journal of Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/162818

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

Cites Work

• Unnamed Item
• A comparison between iterative methods by using the basins of attraction
• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
• Fractal Newton basins
• Fractalisation du bassin d'attraction dans l'algorithme de Newton Modifié
• Steepest descent using smoothed gradients

This page was built for publication: On the complex dynamics of continued and discrete Cauchy's method