The method of iterated Tikhonov regularization with perturbed operators and noisy data for solving operators equations of the first kind is investigated. The rates of convergence of regularization approximation are ac...The method of iterated Tikhonov regularization with perturbed operators and noisy data for solving operators equations of the first kind is investigated. The rates of convergence of regularization approximation are achieved by using generalized Arcangeli’s method for the choice of the regularization parameter.展开更多
This paper presents anew regularization method for solving operator equations of the first kind; the convergence rate of the regularized solution is improved, as compared with the ordinary Tikhonov regularization.
基金Project supported by the National Natural Science Foundation of China.
文摘The method of iterated Tikhonov regularization with perturbed operators and noisy data for solving operators equations of the first kind is investigated. The rates of convergence of regularization approximation are achieved by using generalized Arcangeli’s method for the choice of the regularization parameter.
文摘This paper presents anew regularization method for solving operator equations of the first kind; the convergence rate of the regularized solution is improved, as compared with the ordinary Tikhonov regularization.
