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On the order optimality of the regularization via inexact Newton iterations

Jin, Qinian


Inexact Newton regularization methods have been proposed by Hanke and Rieder for solving nonlinear ill-posed inverse problems. Every such a method consists of two components: an outer Newton iteration and an inner scheme providing increments by regularizing local linearized equations. The method is terminated by a discrepancy principle. In this paper we consider the inexact Newton regularization methods with the inner scheme defined by Landweber iteration, the implicit iteration, the asymptotic...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: Numerische Mathematik
DOI: 10.1007/s00211-011-0435-7


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