On the iteratively regularized Gauss-Newton method in Banach spaces with applications to parameter identification problems

Jin, QinianZhong, Min2015-12-130029-599Xhttp://hdl.handle.net/1885/74603In this paper we propose an extension of the iteratively regularized Gauss-Newton method to the Banach space setting by defining the iterates via convex optimization problems. We consider some a posteriori stopping rules to terminate the iteration and preOn the iteratively regularized Gauss-Newton method in Banach spaces with applications to parameter identification problems201310.1007/s00211-013-0529-52015-12-11