An implicit method for linear ill-posed problems with perturbed operators

被引：0

作者：

Tang, Jian-Guo ^{[1
]}

机构：

[1] Hunan Univ Sci & Engn, Dept Math & Computat Sci, Yongzhou 425006, Hunan, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2006年 / 29卷 / 11期

关键词：

ill-posed problems; implicit iterative method; generalized Morozov's discrepancy principle; optimal convergence rate;

D O I：

10.1002/mma.729

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An implicit iterative method is applied to solving linear ill-posed problems with perturbed operators. It is proved that the optimal convergence rate can be obtained after choosing suitable number of iterations. A generalized Morozov's discrepancy principle is proposed for the problems, and then the optimal convergence rate can also be obtained by an a posteriori strategy. The convergence results show that the algorithm is a robust regularization method. Copyright (C) 2006 John Wiley & Sons, Ltd.

引用

页码：1327 / 1338

页数：12

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