Abstract:

According to the theory of singular system of compact operators, a new regulariz ation filters is set forth, and then a new regularization method for solving illposed problems of the first kind equations is constructed. The error analysis  o f the regularized solution is given. By a priori choice of the regularization pa rameter respectively, the optimum asymptotic convergence order of the regularize d solution is obtained.

Key words: problems;Regularization filters;Regulariz ation method;Convergence and asymptotic order of the regularized solution