Abstract: For linear illposed problems, the paper presents a fast convergent method of iterated regularization based on the idea of Landweber i terated regularization, and a method of aposteriori choice by the Morozov discrepancy principle, by which the optimum asymptotic convergence order of the regularized solution is obtained. Numerical test shows that the method of iterated regularization can quicken the convergence speed, reduce the calculation burden efficiently.

Key words: illposed problems, iterated regularization, Morozov discrepancy principle