منابع مشابه
On the Non-homogeneity of Completely Positive Cones
For a closed cone C in Rn, the completely positive cone of C is the convex cone K in Sn generated by {uuT : u ∈ C}. Completely positive cones arise, for example, in the conic LP reformulation of a nonconvex quadratic minimization problem over an arbitrary set with linear and binary constraints. Motivated by the useful and desirable properties of the nonnegative orthant and the positive semidefi...
متن کاملFlocks of cones of higher degree
It is known that in PG(3, q), q > 19, a partial flock of a quadratic cone with q − ε planes, can be extended to a unique flock if ε < 14 √ q, and a similar and slightly stronger theorem holds for the case q even. In this paper we prove the analogue of this result for cones with base curve of higher degree.
متن کاملEla on the Irreducibility, Self-duality, and Non-homogeneity of Completely Positive Cones
For a closed cone C in R, the completely positive cone of C is the convex cone KC in S generated by {uu : u ∈ C}. Such a cone arises, for example, in the conic LP reformulation of a nonconvex quadratic minimization problem over an arbitrary set with linear and binary constraints. Motivated by the useful and desirable properties of the nonnegative orthant and the positive semidefinite cone (and ...
متن کاملOn the irreducibility, self-duality an non-homogeneity of completely positive cones
For a closed cone C in R, the completely positive cone of C is the convex cone KC in S generated by {uu : u ∈ C}. Such a cone arises, for example, in the conic LP reformulation of a nonconvex quadratic minimization problem over an arbitrary set with linear and binary constraints. Motivated by the useful and desirable properties of the nonnegative orthant and the positive semidefinite cone (and ...
متن کاملThe Tropical Degree of Cones in the Secondary Fan
Abstract. Given a lattice polytope, the secondary fan is a combinatorial structure on the space of all tropical polynomials supported on the polytope. We consider rationally weighted formal sums of cones in the secondary fan as an approximation to a tropical variety. By using tropical intersection theory, we are able to intersect these formal sums with point-condition-imposing hyperplanes. Form...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2014
ISSN: 0166-8641
DOI: 10.1016/j.topol.2014.07.002