Geodesic
Continuity of the Conic Hull
Journal of convex analysis, Tome 31 (2024) no. 1, pp. 255-264
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In a real Hilbert space $V$, the conic hull of $G \subseteq V$ is the set cone\,$(G)$ consisting of all nonnegative linear combinations of elements of $G$. Many optimization problems are sensitive to the changes in cone\,$(G)$ that result from changes in $G$ itself. Motivated by one such problem, we derive necessary and sufficient conditions for the continuity of the conic hull.
Classification : 90C31, 90C26, 52B55
Mots-clés : Cone, conic hull, positive hull, continuity, maximal angle 
@article{JCA_2024_31_1_JCA_2024_31_1_a14,
     author = {M. Orlitzky},
     title = {Continuity of the {Conic} {Hull}},
     journal = {Journal of convex analysis},
     pages = {255--264},
     year = {2024},
     volume = {31},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a14/}
}
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M. Orlitzky. Continuity of the Conic Hull. Journal of convex analysis, Tome 31 (2024) no. 1, pp. 255-264. http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a14/