Матричная выпуклость
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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| Published in: | Український математичний журнал |
|---|---|
| Date: | 1995 |
| Main Author: | |
| Format: | Article |
| Language: | Russian |
| Published: |
Інститут математики НАН України
1995
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156956 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Матричная выпуклость / В.В. Остапенко // Український математичний журнал. — 1995. — Т. 47, № 1. — С. 64–69. — Бібліогр.: 5 назв. — рос. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862668712730951680 |
|---|---|
| author | Остапенко, В.В. |
| author_facet | Остапенко, В.В. |
| citation_txt | Матричная выпуклость / В.В. Остапенко // Український математичний журнал. — 1995. — Т. 47, № 1. — С. 64–69. — Бібліогр.: 5 назв. — рос. |
| collection | DSpace DC |
| container_title | Український математичний журнал |
| 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 | 2025-12-07T15:26:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156956 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1027-3190 |
| language | Russian |
| last_indexed | 2025-12-07T15:26:42Z |
| publishDate | 1995 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Остапенко, В.В. 2019-06-19T11:37:07Z 2019-06-19T11:37:07Z 1995 Матричная выпуклость / В.В. Остапенко // Український математичний журнал. — 1995. — Т. 47, № 1. — С. 64–69. — Бібліогр.: 5 назв. — рос. 1027-3190 https://nasplib.isofts.kiev.ua/handle/123456789/156956 519.8 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.” ru Інститут математики НАН України Український математичний журнал Статті Матричная выпуклость Matrix convexity Article published earlier |
| spellingShingle | Матричная выпуклость Остапенко, В.В. Статті |
| title | Матричная выпуклость |
| title_alt | Matrix convexity |
| title_full | Матричная выпуклость |
| title_fullStr | Матричная выпуклость |
| title_full_unstemmed | Матричная выпуклость |
| title_short | Матричная выпуклость |
| title_sort | матричная выпуклость |
| topic | Статті |
| topic_facet | Статті |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156956 |
| work_keys_str_mv | AT ostapenkovv matričnaâvypuklostʹ AT ostapenkovv matrixconvexity |