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

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

2008-03-16

arxiv.org/abs/0803.2373v1

Mathematics

Numerical Analysis

Scientific paper

10.1088/0266-5611/24/4/045002

In this paper we consider the iteratively regularized Gauss-Newton method for
solving nonlinear ill-posed inverse problems. Under merely 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.

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