线性锥系统的Gordan定理  

Gordan Theorems of the Conic Linear System

作　　者：安中华[1] 安琪[2] 

机构地区：[1]湖北第二师范学院数学与计量经济系,武汉430205 [2]华中科技大学数学系,武汉430070

出　　处：《湖北第二师范学院学报》2008年第2期4-5,9,共3页Journal of Hubei University of Education

摘　　要：本文应用对偶锥的概念和线性锥系统的Farkas引理,给出了一般线性锥系统的Gordan定理,所得结果显示含齐次线性不等式组的线性锥系统和它的对偶系统都存在Gordan定理,且Gordan定理结论的表达式基本相同。A generalizing Gordan Selection Theorem of the conic linear system was proved by using the concept of the dual cone and Farkas Lemma of the conic linear system. The conclusion shows that in any conic linear system and its dual system including homogeneous linear inequalities, there are Gordan Selection Theorems and the expressions of them are the same .

关 键 词：线性锥系统 对偶锥 择一定理 

分 类 号：O177.2[理学—数学]