A simplified iteratively regularized projection method for nonlinear ill-posed problems.

In this paper, we propose a projection method for the numerical solution of the simplified iteratively regularized Gauss-Newton method of nonlinear integral equations for which an a posteriori stopping rule is proposed to terminate the iteration. Such methods require only the computation of the Fréchet derivative at the initial approximation. Thus the computational work is considerably reduced. Under certain mild conditions, we give the convergence analysis and derive the order optimality. Numerical results are presented to demonstrate the efficiency and accuracy of the proposed method. [ABSTRACT FROM AUTHOR]