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| Main Author: | |
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| Format: | Preprint |
| Published: |
2015
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1505.05418 |
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| _version_ | 1866929555807141888 |
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| author | Abbas, Boushra |
| author_facet | Abbas, Boushra |
| contents | In a Hilbert space setting, we study the stability properties of the regularized continuous Newton method with two potentials, which aims at solving inclusions governed by structured monotone operators. The Levenberg-Marquardt regularization term acts in an open loop way. As a byproduct of our study, we can take the regularization coefficient of bounded variation. These stability results are directly related to the study of numerical algorithms that combine forward-backward and Newton's methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1505_05418 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Stability of a regularized Newton method with two potentials Abbas, Boushra Optimization and Control In a Hilbert space setting, we study the stability properties of the regularized continuous Newton method with two potentials, which aims at solving inclusions governed by structured monotone operators. The Levenberg-Marquardt regularization term acts in an open loop way. As a byproduct of our study, we can take the regularization coefficient of bounded variation. These stability results are directly related to the study of numerical algorithms that combine forward-backward and Newton's methods. |
| title | Stability of a regularized Newton method with two potentials |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/1505.05418 |