Methods for the solution of equations with restrictions and the Sokolov projection-iterative method
We establish consistency conditions for equations with additional restrictions in a Hilbert space, suggest and justify iterative methods for the construction of approximate solutions, and describe the relationship between these methods and the Sokolov projection-iterative method.
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| Date: | 1996 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5204 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511412330168320 |
|---|---|
| author | Luchka, A. Y. Лучка, А. Ю. |
| author_facet | Luchka, A. Y. Лучка, А. Ю. |
| author_sort | Luchka, A. Y. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:27:04Z |
| description | We establish consistency conditions for equations with additional restrictions in a Hilbert space, suggest and justify iterative methods for the construction of approximate solutions, and describe the relationship between these methods and the Sokolov projection-iterative method. |
| first_indexed | 2026-03-24T03:12:29Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5204 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:12:29Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/55/0c617f092f038a12d096829019e18955.pdf |
| spelling | umjimathkievua-article-52042020-03-18T21:27:04Z Methods for the solution of equations with restrictions and the Sokolov projection-iterative method Методи розв'язання рівнянь з обмеженнями і проекційно-ітеративний метод Ю. Д. Соколова Luchka, A. Y. Лучка, А. Ю. We establish consistency conditions for equations with additional restrictions in a Hilbert space, suggest and justify iterative methods for the construction of approximate solutions, and describe the relationship between these methods and the Sokolov projection-iterative method. Встановлено умови сумісності рівнянь з додатковими обмеженнями в гільбертовому просторі, запропоновано та обгрунтовано ітераційні методи побудови наближених розв'язків, а також встановлено їх зв'язок з проекційно-ітеративним методом Ю. Д. Соколова. Institute of Mathematics, NAS of Ukraine 1996-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5204 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 11 (1996); 1501-1509 Український математичний журнал; Том 48 № 11 (1996); 1501-1509 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5204/7102 https://umj.imath.kiev.ua/index.php/umj/article/view/5204/7103 Copyright (c) 1996 Luchka A. Y. |
| spellingShingle | Luchka, A. Y. Лучка, А. Ю. Methods for the solution of equations with restrictions and the Sokolov projection-iterative method |
| title | Methods for the solution of equations with restrictions and the Sokolov projection-iterative method |
| title_alt | Методи розв'язання рівнянь з обмеженнями і проекційно-ітеративний
метод Ю. Д. Соколова |
| title_full | Methods for the solution of equations with restrictions and the Sokolov projection-iterative method |
| title_fullStr | Methods for the solution of equations with restrictions and the Sokolov projection-iterative method |
| title_full_unstemmed | Methods for the solution of equations with restrictions and the Sokolov projection-iterative method |
| title_short | Methods for the solution of equations with restrictions and the Sokolov projection-iterative method |
| title_sort | methods for the solution of equations with restrictions and the sokolov projection-iterative method |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5204 |
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