Back to Search
Start Over
The Ivanov regularized Gauss–Newton method in Banach space with an a posteriori choice of the regularization radius.
- Source :
-
Journal of Inverse & Ill-Posed Problems . Aug2019, Vol. 27 Issue 4, p539-557. 19p. - Publication Year :
- 2019
-
Abstract
- In this paper, we consider the iteratively regularized Gauss–Newton method, where regularization is achieved by Ivanov regularization, i.e., by imposing a priori constraints on the solution. We propose an a posteriori choice of the regularization radius, based on an inexact Newton/discrepancy principle approach, prove convergence and convergence rates under a variational source condition as the noise level tends to zero and provide an analysis of the discretization error. Our results are valid in general, possibly nonreflexive Banach spaces, including, e.g., L ∞ {L^{\infty}} as a preimage space. The theoretical findings are illustrated by numerical experiments. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09280219
- Volume :
- 27
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Inverse & Ill-Posed Problems
- Publication Type :
- Academic Journal
- Accession number :
- 137895084
- Full Text :
- https://doi.org/10.1515/jiip-2018-0093