A convergence analysis of the iteratively regularized Gauss--Newton method under the Lipschitz condition
نویسنده
چکیده
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.
منابع مشابه
A convergence analysis of the iteratively regularized Gauss-Newton method under Lipschitz condition
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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