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

Vorkady. S. Shubha, Santhosh George, P. Jidesh and M.E. Shobha

Applied Mathematics and Computation, 2016, vol. 273, issue C, 1041-1050

Abstract: Recently 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.

Keywords: Nonlinear ill-posed equations; Adaptive method; Monotone operator; Quadratic convergence; Projection method (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:1041-1050

DOI: 10.1016/j.amc.2015.10.051

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