Email this article On the Convergence Rate of the Continuous Newton Method
- Authors: Gibali A.1, Shoikhet D.1, Tarkhanov N.2
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Affiliations:
- Ort Braude College
- Institute of Mathematics, University of Potsdam
- Issue: Vol 239, No 6 (2019)
- Pages: 867-879
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242713
- DOI: https://doi.org/10.1007/s10958-019-04331-9
- ID: 242713
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Abstract
In this paper we study the convergence of the continuous Newton method for solving nonlinear equations with holomorphic mappings in complex Banach spaces. Our contribution is based on recent progress in the geometric theory of spiral-like functions. We prove convergence theorems and illustrate them by numerical simulations.
About the authors
A. Gibali
Ort Braude College
Author for correspondence.
Email: avivg@braude.ac.il
Israel, Karmiel
D. Shoikhet
Ort Braude College
Email: avivg@braude.ac.il
Israel, Karmiel
N. Tarkhanov
Institute of Mathematics, University of Potsdam
Email: avivg@braude.ac.il
Germany, Potsdam
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