Gradient-type Approaches to Inverse and Ill-Posed Problems of Mathematical Physics Научная публикация
| Журнал |
Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 , E-ISSN: 1555-6662 |
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| Вых. Данные | Год: 2024, Том: 64, Номер: 9, Страницы: 1974-1990 Страниц : 17 DOI: 10.1134/s0965542524701136 | ||||||||
| Ключевые слова | inverse and ill-posed problems, inexact gradient, accelerated gradient methods, regularization, Richardson extrapolation, mathematical physics | ||||||||
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| Организации |
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Информация о финансировании (1)
| 1 | Российский научный фонд | 21-71-30005 |
Реферат:
In this paper we are trying to formalize the definition of gradient for inverse problems and other non-classical optimization problems such as gradient approaches to problems having to do with the calculus of variations. We provide the readers with several examples of converting the problem to the gradient-type problem, describe several properties of the obtained gradient problem, provide analysis on its convexity or smoothness, and proving the convergence of the algorithm.
Библиографическая ссылка:
Akindinov G.D.
, Gasnikov A.V.
, Krivorotko O.I.
, Matyukhin V.V.
, Pletnev N.V.
Gradient-type Approaches to Inverse and Ill-Posed Problems of Mathematical Physics
Computational Mathematics and Mathematical Physics. 2024. V.64. N9. P.1974-1990. DOI: 10.1134/s0965542524701136 WOS Scopus РИНЦ OpenAlex
Gradient-type Approaches to Inverse and Ill-Posed Problems of Mathematical Physics
Computational Mathematics and Mathematical Physics. 2024. V.64. N9. P.1974-1990. DOI: 10.1134/s0965542524701136 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 18 апр. 2024 г. |
| Принята к публикации: | 31 мая 2024 г. |
| Опубликована в печати: | 7 нояб. 2024 г. |
| Опубликована online: | 7 нояб. 2024 г. |
Идентификаторы БД:
| Web of science: | WOS:001351553000021 |
| Scopus: | 2-s2.0-85209594494 |
| РИНЦ: | 74529486 |
| OpenAlex: | W4404125976 |