Iterative methods for nonlinear ill-posed problems in Banach spaces : convergence and applications to parameter identification problems

In this paper, we study convergence of two different iterative regularization methods for nonlinear ill-posed problems in Banach spaces. One of them is a Landweber type iteration, the other one the iteratively regularized Gauss– Newton method with an a posteriori chosen regularization parameter in each step. We show that a discrepancy principle as a… CONTINUE READING