Regularization Method for Ill-Posed Problems

Landweber iterative method is one of the well-known techniques used for solving nonlinear ill-posed problems. The convergence analysis and error estimates are usually derived with many assumptions which are very difficult to verify from a practical point of view. In this work we will consider a simplified form of the Landweber iterative scheme for solving nonlinear ill-posed problems. The author derives the convergence analysis and error estimate using weaker assumptions.