On the Convergence Rate of Continuous Newton Method
- Authors: Gibali A.1, Shoikhet D.1, Tarkhanov N.2
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Affiliations:
- Ort Braude College
- University of Potsdam
- Issue: Vol 62, No (2016)
- Pages: 152-165
- Section: Articles
- URL: https://ogarev-online.ru/2413-3639/article/view/347305
- ID: 347305
Cite item
Abstract
In this paper, we study the convergence of continuous Newton method for solving nonlinear equations with holomorphic mappings in complex Banach spaces. Our contribution is based on a recent progress in the geometric theory of spirallike functions. We prove convergence theorems and illustrate them by numerical simulations.
About the authors
Aviv Gibali
Ort Braude College
Email: avivg@braude.ac.il
Karmiel, Israel
David Shoikhet
Ort Braude College
Email: davs@braude.ac.il
Karmiel, Israel
Nikolai Tarkhanov
University of Potsdam
Email: tarkhanov@math.uni-potsdam.de
Potsdam, Germany
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