关键词: Ill-posed problems, iterated regularization, Morozov discrepancy principle

Abstract:

This article presents a fast convergent method of iterated regularization based on the idea of Landweber iterated regularization, and a method for a-posteriori choice by the Morozov discrepancy principle and the optimum asymptotic convergence order of the regularized solution is obtained. Numerical test shows that the method of iterated regu-larization can quicken the convergence speed and reduce the calculation burden efficiently.

Key words: Ill-posed problems, iterated regularization, Morozov discrepancy principle