dc.contributor.author El Ghami, Mohamed dc.contributor.author Wang, G.Q. dc.date.accessioned 2018-04-04T21:59:35Z dc.date.available 2018-04-04T21:59:35Z dc.date.created 2016-12-15T12:49:13Z dc.date.issued 2017 dc.identifier.citation El Ghami, M. & Wang, G. Q. (2017). Interior-point methods for P∗(κ)-linear complementarity problem based on generalized trigonometric barrier function. International Journal of Applied Mathematics, 30(1), 11-33. doi: nb_NO dc.identifier.issn 1314-8060 dc.identifier.uri http://hdl.handle.net/11250/2492677 dc.description.abstract Recently, M.~Bouafoa, et al. investigated a new kernel function which differs from the self-regular kernel functions. The kernel function has a trigonometric Barrier Term. In this paper we generalize the analysis presented in the above paper for $P_{*}(\kappa)$ Linear Complementarity Problems (LCPs). It is shown that the iteration bound for primal-dual large-update and small-update interior-point methods based on this function is as good as the currently best known iteration bounds for these type methods. The analysis for LCPs deviates significantly from the analysis for linear optimization. Several new tools and techniques are derived in this paper. nb_NO dc.language.iso eng nb_NO dc.publisher Academic Publications nb_NO dc.title Interior-point methods for P∗(κ)-linear complementarity problem based on generalized trigonometric barrier function nb_NO dc.type Journal article nb_NO dc.type Peer reviewed nb_NO dc.description.version publishedVersion nb_NO dc.rights.holder © 2017, Academic Publications nb_NO dc.subject.nsi VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410 nb_NO dc.source.pagenumber 11-33 nb_NO dc.source.volume 30 nb_NO dc.source.journal International Journal of Applied Mathematics nb_NO dc.source.issue 1 nb_NO dc.identifier.doi 10.12732/ijam.v30i1.2 dc.identifier.cristin 1413343
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