Browsing by Author "Nair, M.T."

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    A derivative-free iterative method for nonlinear ill-posed equations with monotone operators
    (Walter de Gruyter GmbH info@degruyter.com, 2017) George, S.; Nair, M.T.
    Recently, Semenova [12] considered a derivative free iterative method for nonlinear ill-posed operator equations with a monotone operator. In this paper, a modified form of Semenova's method is considered providing simple convergence analysis under more realistic nonlinearity assumptions. The paper also provides a stopping rule for the iteration based on an a priori choice of the regularization parameter and also under the adaptive procedure considered by Pereverzev and Schock [11]. © 2017 Walter de Gruyter GmbH, Berlin/Boston.
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    A derivative-free iterative method for nonlinear ill-posed equations with monotone operators
    (2017) George, S.; Nair, M.T.
    Recently, Semenova [12] considered a derivative free iterative method for nonlinear ill-posed operator equations with a monotone operator. In this paper, a modified form of Semenova's method is considered providing simple convergence analysis under more realistic nonlinearity assumptions. The paper also provides a stopping rule for the iteration based on an a priori choice of the regularization parameter and also under the adaptive procedure considered by Pereverzev and Schock [11]. 2017 Walter de Gruyter GmbH, Berlin/Boston.