MULTILEVEL ITERATION METHODS FOR SOLVING LINEAR ILL-POSED PROBLEMS

作     者：罗兴钧 陈仲英 

作者机构：Department of Mathematics and ComputerGannan Teachers College Ganzhou 341000 China Department of Scientific Computing and Computer Applications Zhongshan University Guangzhou 510275 PRC Department of Scientific Computing and Computer ApplicationsZhongshan University Guangzhou 510275 PRC 

出 版 物：《Numerical Mathematics A Journal of Chinese Universities(English Series)》 (NUMERICAL MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES ENGLISH SERIES)

年 卷 期：2005年第14卷第3期

页      面：244-251页

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Natural Science Foundation of China under grants 10371137 and 10201034 the Foundation of Doctoral Program of National Higher Education of China under grant 20030558008 Guangdong Provincial Natural Science Foundation of China under grant 1011170 the Foundation of Zhongshan University Advanced Research Center 

主　　题：多级迭代法 病态问题 Tikhonov调整 线性系统 收敛性 

摘      要：In this paper we develop multilevel iteration methods for solving linear systems resulting from the Galerkin method and Tikhonov regularization for ill-posed problems. The algorithm and its convergence analysis are presented in an abstract framework.