%0 Journal Article
%T MODIFIED TIKHONOV REGULARIZATION AND THE OPTIMUM ASYMPTOTIC ORDER OF REGULARIZED SOLUTION<br>改进的Tikhonov 正则化及其正则解的最优渐近阶估计
%A Li Gongsheng
%A <br>李功胜
%A 马逸尘
%A 高登攀
%A 庄弘炜
%J 系统科学与数学
%D 2002
%I 
%X Abstract With the aid of regularizing filters, a new class of regularization methodscalled the modified Tikhonov regularization for solving the first kind of operator equations withperturbed operators and noisy data are constructed. By choosing the regularization parametersappropriately, the convergence and optimum asymptotic order of the regularized solution isobtained.
%K Keywords: Modified Tikhonov regularization
%K regularizing filter
%K a posteriori choice ofregularization parameter
%K convergence and optimum asymptotic order of the regularized solu-tion<br>改进的Tikhonov正则化
%K 正则化子
%K 正则参数的后验选取
%K 正则解的收敛性和最优渐近阶．
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=7F419EF951B512E3&yid=C3ACC247184A22C1&vid=BC12EA701C895178&iid=0B39A22176CE99FB&sid=4C100B7696CE9E24&eid=ED01F5AE50BE09C0&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=4&reference_num=6