Geodesic
Iterative methods with successive approximation of inverse operators
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 36 (2006) no. 2, pp. 129-138.

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An overview of a large family of iterative methods of solving operator equations with smooth operators. The common characteristic of these methods is the possibility of using approximate inversion of Frechet derivatives. 
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V. M. Verzhbitskiy. Iterative methods with successive approximation of inverse operators. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 36 (2006) no. 2, pp. 129-138. http://geodesic.mathdoc.fr/item/IIMI_2006_36_2_a30/

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