Exact estima tes for the rate of convergence of the s-step method of steepest descent in eigenvalue problems
We obtain exact (unimprovable) estimates for the rate of convergence of the s-step method of steepest descent for finding the least (greatest) eigenvalue of a linear bounded self-adjoint operator in a Hilbert space.
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| Datum: | 1997 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5175 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511378712821760 |
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| author | Bondarenko, L. N. Zhuk, P. F. Бондаренко, Л. Н. Жук, П. Ф. Бондаренко, Л. Н. Жук, П. Ф. |
| author_facet | Bondarenko, L. N. Zhuk, P. F. Бондаренко, Л. Н. Жук, П. Ф. Бондаренко, Л. Н. Жук, П. Ф. |
| author_sort | Bondarenko, L. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:26:15Z |
| description | We obtain exact (unimprovable) estimates for the rate of convergence of the s-step method of steepest descent for finding the least (greatest) eigenvalue of a linear bounded self-adjoint operator in a Hilbert space. |
| first_indexed | 2026-03-24T03:11:57Z |
| format | Article |
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| id | umjimathkievua-article-5175 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:11:57Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/05/79fe6b8a108b4397c14605404caa0105.pdf |
| spelling | umjimathkievua-article-51752020-03-18T21:26:15Z Exact estima tes for the rate of convergence of the s-step method of steepest descent in eigenvalue problems Точные оценки скорости сходимости s-шагового метода наискорейшего спуска в задачах на собственные значения Bondarenko, L. N. Zhuk, P. F. Бондаренко, Л. Н. Жук, П. Ф. Бондаренко, Л. Н. Жук, П. Ф. We obtain exact (unimprovable) estimates for the rate of convergence of the s-step method of steepest descent for finding the least (greatest) eigenvalue of a linear bounded self-adjoint operator in a Hilbert space. Отримано точні (неполіпшувапі) оцінки швидкості збіжності s-крокового методу найшвидшого спуску при відшуканні найменшого (найбільшого) власного значения лінійного обмеженого самоспряжепого оператора в гільбертовому просторі. Institute of Mathematics, NAS of Ukraine 1997-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5175 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 12 (1997); 1694–1699 Український математичний журнал; Том 49 № 12 (1997); 1694–1699 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5175/7046 https://umj.imath.kiev.ua/index.php/umj/article/view/5175/7047 Copyright (c) 1997 Bondarenko L. N.; Zhuk P. F. |
| spellingShingle | Bondarenko, L. N. Zhuk, P. F. Бондаренко, Л. Н. Жук, П. Ф. Бондаренко, Л. Н. Жук, П. Ф. Exact estima tes for the rate of convergence of the s-step method of steepest descent in eigenvalue problems |
| title | Exact estima tes for the rate of convergence of the s-step method of steepest descent in eigenvalue problems |
| title_alt | Точные оценки скорости сходимости s-шагового метода
наискорейшего спуска в задачах на собственные значения |
| title_full | Exact estima tes for the rate of convergence of the s-step method of steepest descent in eigenvalue problems |
| title_fullStr | Exact estima tes for the rate of convergence of the s-step method of steepest descent in eigenvalue problems |
| title_full_unstemmed | Exact estima tes for the rate of convergence of the s-step method of steepest descent in eigenvalue problems |
| title_short | Exact estima tes for the rate of convergence of the s-step method of steepest descent in eigenvalue problems |
| title_sort | exact estima tes for the rate of convergence of the s-step method of steepest descent in eigenvalue problems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5175 |
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