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A convergence analysis of the iteratively regularized Gauss-Newton method under the Lipschitz condition

Jin, Qinian


In this paper we consider the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed inverse problems. Under merely the Lipschitz condition, we prove that this method together with an a posteriori stopping rule defines an order optimal regularization method if the solution is regular in some suitable sense.

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
Source: Inverse Problems
DOI: 10.1088/0266-5611/24/4/045002


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