A new iterated Tikhonov regularization method for Fredholm integral equation of first kind
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917172612169728 |
|---|---|
| author | Pang, Xiaowei Wang, Jun |
| author_facet | Pang, Xiaowei Wang, Jun |
| contents | We consider Fredholm integral equation of the first kind, present an efficient new iterated Tikhonov method to solve it. The new Tikhonov iteration method has been proved which can achieve the optimal order under a-priori assumption. In numerical experiments, the new iterated Tikhonov regularization method is compared with the classical iterated Tikhonov method, Landweber iteration method to solve the corresponding discrete problem, which indicates the validity and efficiency of the proposed method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00209 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new iterated Tikhonov regularization method for Fredholm integral equation of first kind Pang, Xiaowei Wang, Jun Numerical Analysis 65F10, 65F22 We consider Fredholm integral equation of the first kind, present an efficient new iterated Tikhonov method to solve it. The new Tikhonov iteration method has been proved which can achieve the optimal order under a-priori assumption. In numerical experiments, the new iterated Tikhonov regularization method is compared with the classical iterated Tikhonov method, Landweber iteration method to solve the corresponding discrete problem, which indicates the validity and efficiency of the proposed method. |
| title | A new iterated Tikhonov regularization method for Fredholm integral equation of first kind |
| topic | Numerical Analysis 65F10, 65F22 |
| url | https://arxiv.org/abs/2504.00209 |