The cone of Z-transformations on Lorentz cone
2019 ◽
Vol 35
◽
pp. 387-393
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Keyword(s):
In this paper, the structural properties of the cone of $\calz$-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.
2016 ◽
Vol 64
(3)
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pp. 647-670
Keyword(s):
2013 ◽
Vol 438
(10)
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pp. 3862-3871
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Keyword(s):
2013 ◽
Vol 23
(4)
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pp. 2320-2340
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2016 ◽
Vol 2016
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pp. 1-9
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2015 ◽
Vol 168
(3)
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pp. 884-900
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Keyword(s):
Keyword(s):