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Simplified Iteratively Regularized Gauss–Newton Method in Banach Spaces Under a General Source Condition.
- Source :
- Computational Methods in Applied Mathematics; Apr2020, Vol. 20 Issue 2, p321-341, 21p, 3 Charts, 3 Graphs
- Publication Year :
- 2020
-
Abstract
- In this paper, we consider a simplified iteratively regularized Gauss–Newton method in a Banach space setting under a general source condition. We will obtain order-optimal error estimates both for an a priori stopping rule and for a Morozov-type stopping rule together with a posteriori choice of the regularization parameter. An advantage of a general source condition is that it provides a unified setting for the error analysis which can be applied to the cases of both severely and mildly ill-posed problems. We will give a numerical example of a parameter identification problem to discuss the performance of the method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16094840
- Volume :
- 20
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Computational Methods in Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 142513616
- Full Text :
- https://doi.org/10.1515/cmam-2018-0165