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Article: The GUS-property of second-order cone linear complementarity problems

TitleThe GUS-property of second-order cone linear complementarity problems
Authors
Yang, Wei HongYuan, Xiaoming
KeywordsLinear complementarity problem
Second-order cone
Globally uniquely solvable property
Issue Date2013
Citation
Mathematical Programming, 2013, v. 141, n. 1-2, p. 295-317 How to Cite?
DOI: http://dx.doi.org/10.1007/s10107-012-0523-1
AbstractThe globally uniquely solvable (GUS) property of the linear transformation of the linear complementarity problems over symmetric cones has been studied recently by Gowda et al. via the approach of Euclidean Jordan algebra. In this paper, we contribute a new approach to characterizing the GUS property of the linear transformation of the second-order cone linear complementarity problems (SOCLCP) via some basic linear algebra properties of the involved matrix of SOCLCP. Some more concrete and checkable sufficient and necessary conditions for the GUS property are thus derived. © 2012 Springer and Mathematical Optimization Society.
Persistent Identifierhttp://hdl.handle.net/10722/250876
ISSN
0025-5610
2023 Impact Factor: 2.2
2023 SCImago Journal Rankings: 1.982
ISI Accession Number ID
WOS:000324232100012

 

DC FieldValueLanguage
dc.contributor.authorYang, Wei Hong-
dc.contributor.authorYuan, Xiaoming-
dc.date.accessioned2018-02-01T01:53:57Z-
dc.date.available2018-02-01T01:53:57Z-
dc.date.issued2013-
dc.identifier.citationMathematical Programming, 2013, v. 141, n. 1-2, p. 295-317-
dc.identifier.issn0025-5610-
dc.identifier.urihttp://hdl.handle.net/10722/250876-
dc.description.abstractThe globally uniquely solvable (GUS) property of the linear transformation of the linear complementarity problems over symmetric cones has been studied recently by Gowda et al. via the approach of Euclidean Jordan algebra. In this paper, we contribute a new approach to characterizing the GUS property of the linear transformation of the second-order cone linear complementarity problems (SOCLCP) via some basic linear algebra properties of the involved matrix of SOCLCP. Some more concrete and checkable sufficient and necessary conditions for the GUS property are thus derived. © 2012 Springer and Mathematical Optimization Society.-
dc.languageeng-
dc.relation.ispartofMathematical Programming-
dc.subjectLinear complementarity problem-
dc.subjectSecond-order cone-
dc.subjectGlobally uniquely solvable property-
dc.titleThe GUS-property of second-order cone linear complementarity problems-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s10107-012-0523-1-
dc.identifier.scopuseid_2-s2.0-84884670995-
dc.identifier.volume141-
dc.identifier.issue1-2-
dc.identifier.spage295-
dc.identifier.epage317-
dc.identifier.eissn1436-4646-
dc.identifier.isiWOS:000324232100012-
dc.identifier.issnl0025-5610-

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