On the Number of Iterations of Newton's Method for Complex Polynomials (New developments in dynamical systems)
Year: 2000
Type: article
Abstract: We use methods from conformal geometry to give an explicit estimate for how many iterations of Newton's method it takes to find all the roots of an arbitrary complex polynomial of fixed degree to prescribed precision.
Source: 数理解析研究所講究録
Author: Dierk Schleicher
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W361085800