Second-order sufficient optimality conditions in the calculus of variations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910841979273216 |
|---|---|
| author | Hager, William W. |
| author_facet | Hager, William W. |
| contents | Some classic second-order sufficient optimality conditions in the calculus of variations are shown to be equivalent, while also introducing a new equivalent second-order condition which is extremely easy to apply: simply integrate a linear second-order initial value problem and check that the solution is positive over the problem domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17166 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Second-order sufficient optimality conditions in the calculus of variations Hager, William W. Optimization and Control Some classic second-order sufficient optimality conditions in the calculus of variations are shown to be equivalent, while also introducing a new equivalent second-order condition which is extremely easy to apply: simply integrate a linear second-order initial value problem and check that the solution is positive over the problem domain. |
| title | Second-order sufficient optimality conditions in the calculus of variations |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2412.17166 |