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On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems

Jin, Qinian

Description

In this paper we consider a class of regularized Gauss-Newton methods for solving nonlinear inverse problems for which an a posteriori stopping rule is proposed to terminate the iteration. Such methods have the frozen feature that they require only the computation of the Fr´echet derivative at the initial approximation. Thus the computational work is considerably reduced. Under certain mild conditions, we give the convergence analysis and derive various estimates, including the order...[Show more]

CollectionsANU Research Publications
Date published: 2010-04-20
Type: Journal article
URI: http://hdl.handle.net/1885/100590
Source: Mathematics of Computation
DOI: 10.1090/S0025-5718-10-02359-8

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