A Landweber iterative method for solving nonlinear ill-posed operator equation

This paper studied on the Landweber iterative method on nonlinear ill-posed problem. On the condition of the nonlinear operator and the right end of the data both being approximate,based on Frozen Landweber iterative method,a double circulation Landweber iterative scheme of double perturbation was put forward. Under certain conditions,through improving the monotonicity and convergence of iterative scheme,it was obtained that the iterative scheme was effective.