Форма представления | Статьи в зарубежных журналах и сборниках |
Год публикации | 2018 |
Язык | английский |
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Габидуллина Зульфия Равилевна, автор
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Библиографическое описание на языке оригинала |
Gabidullina Z.R., The Problem of Projecting the Origin of Euclidean Space onto the Convex Polyhedron//Lobachevskii Journal of Mathematics. - 2018. - Vol.39, Is.1. - P.35-45. (WOS) |
Аннотация |
This paper is aimed at presenting a systematic exposi- tion of the existing now different formulations for the problem of projection of the origin of the Euclidean space onto the convex polyhedron (PPOCP). We have concentrated on the convex polyhedron given as a convex hull of finitely many vectors of the space. In the present paper, there is investigated the reduction of the projection program to the problems of quadratic programming, maximin, linear complementarity, and nonnegative least squares. Such reduction justifes the opportunity of utilizing a much more broad spectrum of powerful tools of mathematical programming for solving the PPOCP. The paper's goal is to draw the attention of a wide range of research at the different formulations of the projection problem. |
Ключевые слова |
projection, convex polyhedron, quadratic pro- gramming, maximin problem, complementarity problem, nonnegative least squares problem |
Название журнала |
Lobachevskii Journal of Mathematics
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URL |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85042115915&doi=10.1134%2fS1995080218010110&partnerID=40&md5=a6843b17ccadc0a4cb9d3ec3a99a4336 |
Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=175893 |
Полная запись метаданных |
Поле DC |
Значение |
Язык |
dc.contributor.author |
Габидуллина Зульфия Равилевна |
ru_RU |
dc.date.accessioned |
2018-01-01T00:00:00Z |
ru_RU |
dc.date.available |
2018-01-01T00:00:00Z |
ru_RU |
dc.date.issued |
2018 |
ru_RU |
dc.identifier.citation |
Gabidullina Z.R., The Problem of Projecting the Origin of Euclidean Space onto the Convex Polyhedron//Lobachevskii Journal of Mathematics. - 2018. - Vol.39, Is.1. - P.35-45. (WOS) |
ru_RU |
dc.identifier.uri |
https://repository.kpfu.ru/?p_id=175893 |
ru_RU |
dc.description.abstract |
Lobachevskii Journal of Mathematics |
ru_RU |
dc.description.abstract |
This paper is aimed at presenting a systematic exposi- tion of the existing now different formulations for the problem of projection of the origin of the Euclidean space onto the convex polyhedron (PPOCP). We have concentrated on the convex polyhedron given as a convex hull of finitely many vectors of the space. In the present paper, there is investigated the reduction of the projection program to the problems of quadratic programming, maximin, linear complementarity, and nonnegative least squares. Such reduction justifes the opportunity of utilizing a much more broad spectrum of powerful tools of mathematical programming for solving the PPOCP. The paper's goal is to draw the attention of a wide range of research at the different formulations of the projection problem. |
ru_RU |
dc.language.iso |
ru |
ru_RU |
dc.subject |
projection |
ru_RU |
dc.subject |
convex polyhedron |
ru_RU |
dc.subject |
quadratic pro- gramming |
ru_RU |
dc.subject |
maximin problem |
ru_RU |
dc.subject |
complementarity problem |
ru_RU |
dc.subject |
nonnegative least squares problem |
ru_RU |
dc.title |
The Problem of Projecting the Origin of Euclidean Space onto the Convex Polyhedron |
ru_RU |
dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|