Convergence of a Tikhonov Gradient Type-Method for Nonlinear Ill-Posed Equations

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dc.contributor.authorGeorge, S.
dc.contributor.authorShubha, V.S.
dc.contributor.authorPadikkal, P.
dc.date.accessioned2026-02-05T09:31:53Z
dc.date.issued2017
dc.description.abstractIn this study Tikhonov Gradient type-method is considered for nonlinear ill-posed operator equations. In our convergence analysis, we use hypotheses only on the first Frec?het derivative of F in contrast to the higher order Frec?het derivatives used in the earlier studies. We obtained ‘optimal’ order error estimate by choosing the regularization parameter according to the adaptive method proposed by Pereverzev and Schock (SIAM J Numer Anal 43(5):2060–2076, 2005). © 2017, Springer (India) Private Ltd.
dc.identifier.citationInternational Journal of Applied and Computational Mathematics, 2017, 3, , pp. 1205-1215
dc.identifier.issn23495103
dc.identifier.urihttps://doi.org/10.1007/s40819-017-0411-8
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25398
dc.publisherSpringer
dc.subjectAdaptive method
dc.subjectIll-posed equations
dc.subjectIterative method
dc.subjectTikhonov regularization
dc.titleConvergence of a Tikhonov Gradient Type-Method for Nonlinear Ill-Posed Equations

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