A modified Newton–Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations |
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Authors: | Santhosh George M Thamban Nair |
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Institution: | 1. Department of Mathematics, Govt. College of Arts, Science and Commerce, Sanquilim, Goa, India;2. Department of Mathematics, I.I.T. Madras, Chennai, India |
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Abstract: | Recently, a new iterative method, called Newton–Lavrentiev regularization (NLR) method, was considered by George (2006) for regularizing a nonlinear ill-posed Hammerstein-type operator equation in Hilbert spaces. In this paper we introduce a modified form of the NLR method and derive order optimal error bounds by choosing the regularization parameter according to the adaptive scheme considered by Pereverzev and Schock (2005). |
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Keywords: | 65J20 65J10 65R10 |
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