%0 Journal Article
%T A FAST ITERATIVE METHODS FOR SOLVING THE ILL-POSED INTEGRAL EQUATION BASED ON THE OPTIMAL PROJECTION METHODS<br>最优投影策略下解病态积分方程的快速迭代算法
%A Luo Xingjun
%A Li Fanchun
%A Yang Suhua
%A <br>罗兴钧
%A 李繁春
%A 杨素华
%J 计算数学
%D 2011
%I 
%X In this paper, an adaptive discretization Tikhonov iterative method is established for solving the ill-posed integral equation based on the optimization of projection method. Compared with the usual projection technique, we obtain the best order to accuracy,but less inner products. Also,a posteriori parameter choice strategies is proposed. Finally, numerical experiments are given to illustrate the efficiency of the method.
%K Ill-posed integral equations
%K Iterated Tikhonov regularization
%K Optimization of projection methods
%K A posteriori parameter choice<br>病态积分方程
%K 迭代Tikhonov正则化
%K 投影方法
%K 后验参数选择
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=844AA66BB344A4937258D83A773D7722&yid=9377ED8094509821&vid=27746BCEEE58E9DC&iid=CA4FD0336C81A37A&sid=CA4FD0336C81A37A&eid=F3583C8E78166B9E&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=10