Matrix convexity
The notion of a convex set is generalized. In the definition of ordinary convexity, sums of products of vectors and numbers are used. In the generalization considered in this paper, the role of numbers is played by matrices; this is why we call it “matrix convexity.”
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| Datum: | 1995 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5383 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511616773128192 |
|---|---|
| author | Ostapenko, V. V. Остапенко, В. В. Остапенко, В. В. |
| author_facet | Ostapenko, V. V. Остапенко, В. В. Остапенко, В. В. |
| author_sort | Ostapenko, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:17Z |
| description | The notion of a convex set is generalized. In the definition of ordinary convexity, sums of products of vectors and numbers are used. In the generalization considered in this paper, the role of numbers is played by matrices; this is why we call it “matrix convexity.” |
| first_indexed | 2026-03-24T03:15:44Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5383 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:15:44Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6a/774838eb429d588438d0a98ba5d7776a.pdf |
| spelling | umjimathkievua-article-53832020-03-19T08:58:17Z Matrix convexity Матричная выпуклость Ostapenko, V. V. Остапенко, В. В. Остапенко, В. В. The notion of a convex set is generalized. In the definition of ordinary convexity, sums of products of vectors and numbers are used. In the generalization considered in this paper, the role of numbers is played by matrices; this is why we call it “matrix convexity.” Узагальнюється поняття опуклих множин. При означенні звичайної опуклості використовуються суми добутків числа на вектор. У даному узагальненні роль чисел грають матриці, звідки й виникає назва — матрична опуклість. Institute of Mathematics, NAS of Ukraine 1995-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5383 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 1 (1995); 64–69 Український математичний журнал; Том 47 № 1 (1995); 64–69 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5383/7457 https://umj.imath.kiev.ua/index.php/umj/article/view/5383/7458 Copyright (c) 1995 Ostapenko V. V. |
| spellingShingle | Ostapenko, V. V. Остапенко, В. В. Остапенко, В. В. Matrix convexity |
| title | Matrix convexity |
| title_alt | Матричная выпуклость |
| title_full | Matrix convexity |
| title_fullStr | Matrix convexity |
| title_full_unstemmed | Matrix convexity |
| title_short | Matrix convexity |
| title_sort | matrix convexity |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5383 |
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