Third-order derivative-free methods in Banach spaces for nonlinear ill-posed equations

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dc.contributor.authorShubha, V.S.
dc.contributor.authorGeorge, S.
dc.contributor.authorPadikkal, P.
dc.date.accessioned2026-02-05T09:29:37Z
dc.date.issued2019
dc.description.abstractWe develop three third order derivative-free iterative methods to solve the nonlinear ill-posed oprerator equation F(x) = f approximately. The methods involve two steps and are free of derivatives. Convergence analysis shows that these methods converge cubically. The adaptive scheme introduced in Pereverzyev and Schock (SIAM J Numer Anal 43(5):2060–2076, 2005) has been employed to choose regularization parameter. These methods are applied to the inverse gravimetry problem to validate our developed results. © 2019, Korean Society for Computational and Applied Mathematics.
dc.identifier.citationJournal of Applied Mathematics and Computing, 2019, 61, 46054, pp. 137-153
dc.identifier.issn15985865
dc.identifier.urihttps://doi.org/10.1007/s12190-019-01246-1
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/24376
dc.publisherSpringer Verlag service@springer.de
dc.subjectBanach spaces
dc.subjectInverse problems
dc.subjectNonlinear equations
dc.subjectAdaptive methods
dc.subjectCubic convegence
dc.subjectDerivative-free methods
dc.subjectLavrentiev regularizations
dc.subjectNonlinear ill-posed equations
dc.subjectIterative methods
dc.titleThird-order derivative-free methods in Banach spaces for nonlinear ill-posed equations

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