Solving Nonlinear Inverse Problems Based on the Regularized Modified Gauss–Newton Method
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
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Solving Nonlinear Inverse Problems Based on the Regularized Modified Gauss–Newton Method
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| Автор |
Vasin, V. V.
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| Тематика |
ILL-POSED PROBLEM
MODIFIED GAUSS–NEWTON METHOD MODIFIED TIKHONOV METHOD |
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| Описание |
Abstract: A nonlinear operator equation is investigated in the case when the Hadamard correctness conditions are violated. A two-stage method is proposed for constructing a stable method for solving the equation. It includes modified Tikhonov regularization and a modified iterative Gauss–Newton process for approximating the solution of the regularized equation. The convergence of the iterations and the strong Fejér property of the process are proved. An order optimal estimate for the error of the two-stage method is established in the class of sourcewise representable functions. © 2022, Pleiades Publishing, Ltd.
Russian Science Foundation, RSF, (18-11-00024-P) This work was supported in part by the Russian Science Foundation, project no. 18-11-00024-P. |
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| Дата |
2024-04-08T11:08:08Z
2024-04-08T11:08:08Z 2022 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Vasin, VV 2022, 'Solving Nonlinear Inverse Problems Based on the Regularized Modified Gauss–Newton Method', Doklady Mathematics, Том. 105, № 3, стр. 175-177. https://doi.org/10.1134/S1064562422030103
Vasin, V. V. (2022). Solving Nonlinear Inverse Problems Based on the Regularized Modified Gauss–Newton Method. Doklady Mathematics, 105(3), 175-177. https://doi.org/10.1134/S1064562422030103 1064-5624 Final All Open Access; Hybrid Gold Open Access https://link.springer.com/content/pdf/10.1134/S1064562422030103.pdf https://link.springer.com/content/pdf/10.1134/S1064562422030103.pdf http://elar.urfu.ru/handle/10995/131579 10.1134/S1064562422030103 85135464861 000836614500006 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//18-11-00024
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
Pleiades journals
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| Источник |
Doklady Mathematics
Doklady Mathematics |
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