Finite dimensional realization of a quadratic convergence yielding iterative regularization method for ill-posed equations with monotone operators

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dc.contributor.authorShubha, V.S.
dc.contributor.authorGeorge, S.
dc.contributor.authorPadikkal, P.
dc.contributor.authorErappa, M.E.
dc.date.accessioned2026-02-05T09:33:18Z
dc.date.issued2016
dc.description.abstractRecently Jidesh et al. (2015), considered a quadratic convergence yielding iterative method for obtaining approximate solution to nonlinear ill-posed operator equation F(x)=y, where F: D(F) ? X ? X is a monotone operator and X is a real Hilbert space. In this paper we consider the finite dimensional realization of the method considered in Jidesh et al. (2015). Numerical example justifies our theoretical results. © 2015 Elsevier Inc. All rights reserved.
dc.identifier.citationApplied Mathematics and Computation, 2016, 273, , pp. 1041-1050
dc.identifier.issn963003
dc.identifier.urihttps://doi.org/10.1016/j.amc.2015.10.051
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/26075
dc.publisherElsevier Inc. usjcs@elsevier.com
dc.subjectMathematical operators
dc.subjectNonlinear equations
dc.subjectAdaptive methods
dc.subjectMonotone operators
dc.subjectNonlinear ill-posed equations
dc.subjectProjection method
dc.subjectQuadratic convergence
dc.subjectIterative methods
dc.titleFinite dimensional realization of a quadratic convergence yielding iterative regularization method for ill-posed equations with monotone operators

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