dc.contributor.author | El Ghami, Mohamed | |
dc.date.accessioned | 2018-03-02T12:31:49Z | |
dc.date.available | 2018-03-02T12:31:49Z | |
dc.date.created | 2017-02-21T18:30:14Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | El Ghami, M. (2017). Primal-dual algorithms for semidefinit optimization problems based on generalized trigonometric barrier function. International journal of pure and applied mathematics, 114(4), 797-818. doi: | nb_NO |
dc.identifier.issn | 1314-3395 | |
dc.identifier.uri | http://hdl.handle.net/11250/2488339 | |
dc.description.abstract | Recently, M. Bouafoa, et al. (Journal of optimization Theory and Applications, August, 2016), 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 Semidefinit Optimization Problems (SDO). It is shown that the interior-point methods based on this function for large-update methods, the iteration bound is improved significantly. For small-update interior point methods the iteration bound is the best currently known bound for primal-dual interior point methods. The analysis for SDO 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.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Primal-Dual Algorithms for Semidefinit Optimization Problems 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 | 797-818 | nb_NO |
dc.source.volume | 114 | nb_NO |
dc.source.journal | International Journal of Pure and Applied Mathematics | nb_NO |
dc.source.issue | 4 | nb_NO |
dc.identifier.doi | 10.12732/ijpam.v114i4.10 | |
dc.identifier.cristin | 1452920 | |