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arXiv · 1907.04617

The cone of Z-transformations on the second order cone

Sándor Z. Németh·M. Seetharama Gowda
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Abstract

In this paper, we describe the structural properties of the cone of $\mathcal{Z}$-transformations on the second order cone in terms of the semidefinite cone and copositive/completely positive cones induced by the second order cone and its boundary. In particular, we describe its dual as a slice of the semidefinite cone as well as a slice of the completely positive cone of the second order 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.

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Sándor Z. Németh, M. Seetharama Gowda. 2019-07-10. The cone of Z-transformations on the second order cone. https://arxiv.org/abs/1907.04617

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