Geodesic
On the convergence rate of continuous Newton method
Contemporary Mathematics. Fundamental Directions, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), Tome 62 (2016), pp. 152-165

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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. 
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     author = {A. Gibali and D. Shoikhet and N. Tarkhanov},
     title = {On the convergence rate of continuous {Newton} method},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {152--165},
     publisher = {mathdoc},
     volume = {62},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2016_62_a9/}
}
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A. Gibali; D. Shoikhet; N. Tarkhanov. On the convergence rate of continuous Newton method. Contemporary Mathematics. Fundamental Directions, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), Tome 62 (2016), pp. 152-165. http://geodesic.mathdoc.fr/item/CMFD_2016_62_a9/