论文标题
通过屏障锥的凸组套件的分离
Separation of Convex Sets via Barrier Cones
论文作者
论文摘要
据说，如果可以将封闭的线性空间的封闭凸子集与封闭的超平面闭合并设置的其他所有脱节和凸形设置，则具有强分离性能。在本文中，我们在凸组的分离中给出了一些结果，并注意到屏障锥的作用，开发出具有强分离属性的子集的一些特征，并应用它们考虑一类凸优化问题。
A closed convex subset of a normed linear space is said to have the strong separation property if it can be strongly separated from every other disjoint closed and convex set by a closed hyperplane. In this paper we give some results on the separation of convex sets with noticing the role of barrier cones, develop some characterizations of subsets having the strong separation property, and apply them to consider a class of convex optimization problems.
