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Contemporary Mathematics. Fundamental Directions, 2016, Volume 62, Pages 152–165 (Mi cmfd315)  
On the convergence rate of continuous Newton method

A. Gibalia, D. Shoikheta, N. Tarkhanovb

a Department of Mathematics, Ort Braude College, Karmiel 2161002, Israel
b Institute of Mathematics, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany
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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.
Funding agency Grant number
Deutsche Forschungsgemeinschaft TA 289/12-1
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. Gibali, D. Shoikhet, N. Tarkhanov, “On the convergence rate of continuous Newton method”, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), CMFD, 62, PFUR, M., 2016, 152–165
Citation in format AMSBIB
\Bibitem{GibShoTar16}
\by A.~Gibali, D.~Shoikhet, N.~Tarkhanov
\paper On the convergence rate of continuous Newton method
\inbook Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A.~L.~Skubachevskii (Peoples' Friendship University of Russia)
\serial CMFD
\yr 2016
\vol 62
\pages 152--165
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd315}
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