✦ LIBER ✦
An implicit method for linear ill-posed problems with perturbed operators
✍ Scribed by Jian-guo Tang
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 119 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.729
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✦ Synopsis
Abstract
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 © 2006 John Wiley & Sons, Ltd.