The cone of Z-transformations on Lorentz cone
| dc.contributor.author | Nemeth, Sandor Zoltan | |
| dc.contributor.author | Gowda, Muddappa S. | |
| dc.date.accessioned | 2019-10-16T14:58:48Z | |
| dc.date.available | 2019-10-16T14:58:48Z | |
| dc.date.issued | 2019-09 | |
| dc.description.abstract | In this paper, the structural properties of the cone of Z-transformations on the Lorentz cone are described in terms of the semidefinite cone and copositive/completely positive cones induced by the Lorentz cone and its boundary. In particular, its dual is described as a slice of the semidefinite cone as well as a slice of the completely positive cone of the Lorentz cone. This provides an example of an instance where a conic linear program on a completely positive cone is reduced to a problem on the semidefinite cone. | en_US |
| dc.description.uri | https://repository.uwyo.edu/ela/vol35/iss1/25/ | en_US |
| dc.format.extent | 9 pages | en_US |
| dc.genre | journal articles postprints | en_US |
| dc.identifier | doi:10.13016/m2zktg-vsfj | |
| dc.identifier.citation | Németh, Sándor & Gowda, Muddappa. (2019). The cone of Z-transformations on the Lorentz cone. Electronic Journal of Linear Algebra. 35. 387-393. 10.13001/1081-3810.4083. | en_US |
| dc.identifier.uri | http://hdl.handle.net/11603/15876 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | University of Wyoming | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | |
| dc.subject | Z-transformation | en_US |
| dc.subject | Lorentz cone | en_US |
| dc.subject | Semidefinite cone | en_US |
| dc.subject | Copositive cone | en_US |
| dc.subject | Completely positive cone | en_US |
| dc.title | The cone of Z-transformations on Lorentz cone | en_US |
| dc.type | Text | en_US |