@unpublished{GibaliShoikhetTarkhanov2015, author = {Gibali, Aviv and Shoikhet, David and Tarkhanov, Nikolai Nikolaevich}, title = {On the convergence of continuous Newton method}, volume = {4}, number = {10}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, issn = {2193-6943}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-81537}, pages = {15}, year = {2015}, 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.}, language = {en} }