In this paper we improve existing convergence and convergence rate results for the iteratively regularized Gauss-Newton method in two respects: First we show optimal rates of convergence under general source conditions, and second we assume that the linearized equations are solved only approximately in each Newton step...
Keywords: Nonlinear inverse problems, regularized Newton methods, source conditions, convergence rates, CG-method
06/2007 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter