A derivative-free iterative method for nonlinear ill-posed equations with monotone operators

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dc.contributor.authorGeorge, S.
dc.contributor.authorNair, M.T.
dc.date.accessioned2026-02-05T09:32:00Z
dc.date.issued2017
dc.description.abstractRecently, 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.
dc.identifier.citationJournal of Inverse and Ill-Posed Problems, 2017, 25, 5, pp. 543-551
dc.identifier.issn9280219
dc.identifier.urihttps://doi.org/10.1515/jiip-2014-0049
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25483
dc.publisherWalter de Gruyter GmbH info@degruyter.com
dc.subjectControl nonlinearities
dc.subjectMathematical operators
dc.subjectNonlinear equations
dc.subjectAdaptive methods
dc.subjectConvergence analysis
dc.subjectDerivative-free methods
dc.subjectIll-posed operator equation
dc.subjectLavrentiev regularizations
dc.subjectMonotone operators
dc.subjectNonlinear ill-posed equations
dc.subjectRegularization parameters
dc.subjectIterative methods
dc.titleA derivative-free iterative method for nonlinear ill-posed equations with monotone operators

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