Newton Type Iteration for Tikhonov Regularization of Nonlinear Ill-Posed Problems in Hilbert Scales

Recently, Vasin and George (2013) considered an iterative scheme for approximately solving an ill-posed operator equation F(x)=y. In order to improve the error estimate available by Vasin and George (2013), in the present paper we extend the iterative method considered by Vasin and George (2013), in...

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Bibliographic Details
Main Authors: Monnanda Erappa Shobha, Santhosh George
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2014/965097