Nemeth, Sandor ZoltanGowda, Muddappa S.2019-10-162019-10-162019-09Németh, 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.http://hdl.handle.net/11603/15876In 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.9 pagesen-USThis 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.Z-transformationLorentz coneSemidefinite coneCopositive coneCompletely positive coneText