Connection of quasifiniteness and regularity properties in problems of semi-infinite linear programming
We generalize the approach, introduced by S. N. Chernikov, that reduces nonhomogeneous systems to homogeneous ones, and apply this approach, in particular, in a study of a class of finitary-definite problems. The generalization consists of such a modification as the approach for a more general class...
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| Datum: | 1992 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8001 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512845653868544 |
|---|---|
| author | Astafiev , N. N. Астафьев , Н. Н. |
| author_facet | Astafiev , N. N. Астафьев , Н. Н. |
| author_sort | Astafiev , N. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-12-27T10:18:11Z |
| description | We generalize the approach, introduced by S. N. Chernikov, that reduces nonhomogeneous systems to homogeneous ones, and apply this approach, in particular, in a study of a class of finitary-definite problems. The generalization consists of such a modification as the approach for a more general class of problems, namely quasi-finitary problems, including the irregular case.
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| first_indexed | 2026-03-24T03:35:16Z |
| format | Article |
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| id | umjimathkievua-article-8001 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:35:16Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1f/dd7f0c8710989b0aa3d9fe85db9af41f.pdf |
| spelling | umjimathkievua-article-80012023-12-27T10:18:11Z Connection of quasifiniteness and regularity properties in problems of semi-infinite linear programming Связь свойств квазифинитности и регулярности в задачах полубесконечного линейного программирования Astafiev , N. N. Астафьев , Н. Н. We generalize the approach, introduced by S. N. Chernikov, that reduces nonhomogeneous systems to homogeneous ones, and apply this approach, in particular, in a study of a class of finitary-definite problems. The generalization consists of such a modification as the approach for a more general class of problems, namely quasi-finitary problems, including the irregular case.   Обобщается прием, предложенный С. Н. Черниковым, сводящий неоднородные системы к однородным, и примененный им, в частности, для рассмотрения класса финитно-определенных задач. Обобщение состоит в модификации этого приема для более широкого класса задач — квазифинитных,— включающего случаи нерегулярных задач. Узагальнюється спосіб, запропонований С. М. Черніковим, що зводить неоднорідні системи до однорідних, і застосований ним, зокрема, для розгляду класу фінітно-означених задач. Узагальнення заключається в модифікації цього способу для більш широкого класу задач — квазіфінітних, що містить випадки нерегулярних задач. Institute of Mathematics, NAS of Ukraine 1992-07-07 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8001 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 6 (1992); 725-729 Український математичний журнал; Том 44 № 6 (1992); 725-729 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8001/9567 Copyright (c) 1992 N. N. Astafiev |
| spellingShingle | Astafiev , N. N. Астафьев , Н. Н. Connection of quasifiniteness and regularity properties in problems of semi-infinite linear programming |
| title | Connection of quasifiniteness and regularity properties in problems of semi-infinite linear programming |
| title_alt | Связь свойств квазифинитности и регулярности в задачах полубесконечного линейного программирования |
| title_full | Connection of quasifiniteness and regularity properties in problems of semi-infinite linear programming |
| title_fullStr | Connection of quasifiniteness and regularity properties in problems of semi-infinite linear programming |
| title_full_unstemmed | Connection of quasifiniteness and regularity properties in problems of semi-infinite linear programming |
| title_short | Connection of quasifiniteness and regularity properties in problems of semi-infinite linear programming |
| title_sort | connection of quasifiniteness and regularity properties in problems of semi-infinite linear programming |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8001 |
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