Methods for the Elimination of Unknowns from Systems of Linear Inequalities and Their Applications
We study methods for the elimination of an unknown or a group of unknowns from systems of linear inequalities. We justify these methods by using the Helly theorem. The methods considered are applied to the calculation of streams in networks with a generalized conservation law.
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| Date: | 2001 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2001
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4220 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510350553645056 |
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| author | Ostapenko, V. V. Finin, G. S. Остапенко, В. В. Финин, Г. С. Остапенко, В. В. Финин, Г. С. |
| author_facet | Ostapenko, V. V. Finin, G. S. Остапенко, В. В. Финин, Г. С. Остапенко, В. В. Финин, Г. С. |
| author_sort | Ostapenko, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:00Z |
| description | We study methods for the elimination of an unknown or a group of unknowns from systems of linear inequalities. We justify these methods by using the Helly theorem. The methods considered are applied to the calculation of streams in networks with a generalized conservation law. |
| first_indexed | 2026-03-24T02:55:36Z |
| format | Article |
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| id | umjimathkievua-article-4220 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:55:36Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f5/66aba121291f6ad8750e1231360899f5.pdf |
| spelling | umjimathkievua-article-42202020-03-18T20:25:00Z Methods for the Elimination of Unknowns from Systems of Linear Inequalities and Their Applications Методы исключения неизвестных из систем линейных неравенств и их приложения Ostapenko, V. V. Finin, G. S. Остапенко, В. В. Финин, Г. С. Остапенко, В. В. Финин, Г. С. We study methods for the elimination of an unknown or a group of unknowns from systems of linear inequalities. We justify these methods by using the Helly theorem. The methods considered are applied to the calculation of streams in networks with a generalized conservation law. Вивчаються методи вилучення одного невідомого або групи невідомих із системи лінійних нерівностей. Обгрунтування цих методів проводиться на основі теореми Хеллі. Методи застосовуються для обчислення течій у мережах із узагальненим принципом збереження. Institute of Mathematics, NAS of Ukraine 2001-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4220 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 1 (2001); 50-56 Український математичний журнал; Том 53 № 1 (2001); 50-56 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4220/5144 https://umj.imath.kiev.ua/index.php/umj/article/view/4220/5145 Copyright (c) 2001 Ostapenko V. V.; Finin G. S. |
| spellingShingle | Ostapenko, V. V. Finin, G. S. Остапенко, В. В. Финин, Г. С. Остапенко, В. В. Финин, Г. С. Methods for the Elimination of Unknowns from Systems of Linear Inequalities and Their Applications |
| title | Methods for the Elimination of Unknowns from Systems of Linear Inequalities and Their Applications |
| title_alt | Методы исключения неизвестных из систем линейных
неравенств и их приложения |
| title_full | Methods for the Elimination of Unknowns from Systems of Linear Inequalities and Their Applications |
| title_fullStr | Methods for the Elimination of Unknowns from Systems of Linear Inequalities and Their Applications |
| title_full_unstemmed | Methods for the Elimination of Unknowns from Systems of Linear Inequalities and Their Applications |
| title_short | Methods for the Elimination of Unknowns from Systems of Linear Inequalities and Their Applications |
| title_sort | methods for the elimination of unknowns from systems of linear inequalities and their applications |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4220 |
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