On saturation of the discrepancy principle for nonlinear Tikhonov regularization in Hilbert spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911876554686464 |
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| author | Jin, Qinian |
| author_facet | Jin, Qinian |
| contents | In this paper we revisit the discrepancy principle for Tikhonov regularization of nonlinear ill-posed problems in Hilbert spaces and provide some new and improved saturation results under less restrictive conditions, comparing with the existing results in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08269 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On saturation of the discrepancy principle for nonlinear Tikhonov regularization in Hilbert spaces Jin, Qinian Numerical Analysis Optimization and Control In this paper we revisit the discrepancy principle for Tikhonov regularization of nonlinear ill-posed problems in Hilbert spaces and provide some new and improved saturation results under less restrictive conditions, comparing with the existing results in the literature. |
| title | On saturation of the discrepancy principle for nonlinear Tikhonov regularization in Hilbert spaces |
| topic | Numerical Analysis Optimization and Control |
| url | https://arxiv.org/abs/2405.08269 |