Форма представления | Статьи в зарубежных журналах и сборниках |
Год публикации | 2011 |
Язык | русский |
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Габидуллина Зульфия Равилевна, автор
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Библиографическое описание на языке оригинала |
Gabidullina Z.R. A Theorem on Strict Separability of Convex Polyhedra and Its Applications in Optimization. Journal of Optimization Theory and Applications, ISSN 0022-3239 (print), Vol.148, N 3, 2011, p.p.550-570, Springer US (Web of Science, Scopus) (Impact factor 2011 1,062)
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Аннотация |
We propose a new approach to the strict separation of convex polyhedra. This approach is based on the construction of the set of normal vectors for the hyperplanes, such that each one strict separates the polyhedra A and B. We prove the necessary and sufficient conditions of strict separability for convex polyhedra in the Euclidean space and present its applications in optimization.
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Ключевые слова |
Polyhedron, Separating hyperplane, Normal vector, Supporting hyperplane, Thickness of the separation margin, Distance between the polyhedra
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Название журнала |
J OPTIMIZ THEORY APP
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URL |
http://link.springer.com/article/10.1007/s10957-010-9767-1 |
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https://repository.kpfu.ru/?p_id=26591 |
Полная запись метаданных ![](https://shelly.kpfu.ru/pdf/picture/arrow_black_right.gif) |
Поле DC |
Значение |
Язык |
dc.contributor.author |
Габидуллина Зульфия Равилевна |
ru_RU |
dc.date.accessioned |
2011-01-01T00:00:00Z |
ru_RU |
dc.date.available |
2011-01-01T00:00:00Z |
ru_RU |
dc.date.issued |
2011 |
ru_RU |
dc.identifier.citation |
Gabidullina Z.R. A Theorem on Strict Separability of Convex Polyhedra and Its Applications in Optimization. Journal of Optimization Theory and Applications, ISSN 0022-3239 (print), Vol.148, N 3, 2011, p.p.550-570, Springer US (Web of Science, Scopus) (Impact factor 2011 1,062)
|
ru_RU |
dc.identifier.uri |
https://repository.kpfu.ru/?p_id=26591 |
ru_RU |
dc.description.abstract |
J OPTIMIZ THEORY APP |
ru_RU |
dc.description.abstract |
We propose a new approach to the strict separation of convex polyhedra. This approach is based on the construction of the set of normal vectors for the hyperplanes, such that each one strict separates the polyhedra A and B. We prove the necessary and sufficient conditions of strict separability for convex polyhedra in the Euclidean space and present its applications in optimization.
|
ru_RU |
dc.language.iso |
ru |
ru_RU |
dc.subject |
Polyhedron |
ru_RU |
dc.subject |
Separating hyperplane |
ru_RU |
dc.subject |
Normal vector |
ru_RU |
dc.subject |
Supporting hyperplane |
ru_RU |
dc.subject |
Thickness of the separation margin |
ru_RU |
dc.subject |
Distance between the polyhedra
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ru_RU |
dc.title |
A Theorem on Strict Separability of Convex Polyhedra and Its Applications in Optimization. |
ru_RU |
dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
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