Expanding the applicability of a two step Newton-type projection method for ILL-posed problems
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Date
2014
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Journal ISSN
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Publisher
Adam Mickiewicz University Press Nowowiejskiego 55 Poznan 61-734
Abstract
There are many classes of ill-posed problems that cannot be solved with existing iterative methods, since the usual Lipschitz-type assumptions are not satisfied. In this study, we expand the applicability of a two step Newton-type projection method considered in [10], [11], using weaker assumptions. Numerical examples for the method and examples where the old assumptions are not satisfied but the new assumptions are satisfied are provided at the end of this study.
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Keywords
Balancing principle, Discretized two step newton tikhonov method, ILL-posed hammerstein-type operator equations, Monotone operator, Projection method, Regularization method
Citation
Functiones et Approximatio, Commentarii Mathematici, 2014, 51, 1, pp. 141-166