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凸锥分离性质的推广(英文)

A Generalization of Separability Properties of Convex Cones
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摘要 BoltyanskiVG给出了具有一个公共顶点的凸锥簇的几何与代数分离条件 . V.G.Boltyanski gave some geometrical and algebraic separability conditions for a family of convex cones with a common apex.The authors discuss the geometrical separability condition for a system of convex sets and the algebraic separability condition for a family of convex sets with a common point.
作者 苏战军 丁仁
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第2期212-216,共5页 Journal of Sichuan University(Natural Science Edition)
关键词 凸锥 分离性质 公共顶点 几何分离条件 代数分离条件 凸集簇 convex set separable polar decomposition cone
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参考文献9

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  • 4[4]Boltyanski V G.The tent method and problems from system analysis(in Russian)[A].In:Sb.Mt.Teor.Syst[C].(Ed.M.A. Krasnosel'ski).Nauka,Moscow 1986.5-24.
  • 5[5]Boltyanski V G.Doklady,1987, 34:176-179.
  • 6[6]Boltyanski V G.The tent method in optimal contral theory[A].In:Optimal Control,Intern.Series of Numerical math[C].Vol.111,Ed.by R.Bulirsch,J.Stoer and K.H. Well,Birkhauser,Basel-Boston-Berlin,1993.
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  • 8[8]Lay S R.Convex sets and their applications[M].John Wiley & Sons,1982.
  • 9[9]Arne Brndsted.An introduction to convex polytopes[M].Springer-Verlag New York Heidelberg Berlin.1983.

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