The Iterated Regularization With Perturbed Operators and Noisy Data  

作　　者：陈宏 侯宗义 

机构地区：[1]Institute of Mathematics, Fudan University, Shanghai 200433, PRC

出　　处：《Science China Mathematics》1994年第12期1409-1417,共9页中国科学：数学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China.

摘　　要：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.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.

关 键 词：ITERATED Tikhonov REGULARIZATION the first KIND of OPERATOR equation Arcangeli’s principles rates of convergence. 

分 类 号：O177[理学—数学]