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Necessary and sufficient conditions for emptiness of the cones of generalized support vectors

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dc.contributor.author Gabidullina Z.
dc.date.accessioned 2018-09-18T20:27:30Z
dc.date.available 2018-09-18T20:27:30Z
dc.date.issued 2015
dc.identifier.issn 1862-4472
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/140091
dc.description.abstract © 2014, Springer-Verlag Berlin Heidelberg. The purpose of the paper is to establish the conditions which are necessary and sufficient for the cones of generalized (strong, strict) support vectors of a set in a finite-dimensional Euclidean space to be empty. In the present paper, an application of the proposed in J Optim Theory Appl (Gabidullina, J. Optim. Theory Appl. 158(1), 145–171, 2013) linear separability criterion for verification on emptiness or non-emptiness of the cones of GSVs (generalized support vectors) is also studied. We carry out the complete degeneracy analysis of the cones of GSVs for the different kinds of nonempty sets of Euclidean space. We present the different applications of the degeneracy analysis of the cones of GSVs as well.
dc.relation.ispartofseries Optimization Letters
dc.subject Cone of generalized strong (strict) support vectors
dc.subject Coordination
dc.subject Decomposition
dc.subject Degeneracy analysis
dc.subject Linear separability criterion
dc.subject Minkowski difference of sets
dc.subject Parallel Computing
dc.subject Strong (strict) linear separability
dc.subject Variational inequality
dc.title Necessary and sufficient conditions for emptiness of the cones of generalized support vectors
dc.type Article
dc.relation.ispartofseries-issue 4
dc.relation.ispartofseries-volume 9
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 693
dc.source.id SCOPUS18624472-2015-9-4-SID84925290505


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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