线性锥系统的Gordan型择一定理  

Gordan selection theorems of the conic linear system

作　　者：安中华[1] 安琼[2] 

机构地区：[1]湖北第二师范学院数学与计量经济系,湖北武汉430205 [2]中国科学院南京土壤研究所,江苏南京210008

出　　处：《湖北大学学报（自然科学版）》2008年第4期336-339,共4页Journal of Hubei University：Natural Science

基　　金：国家重点基础研究发展规划项目(2002CB410805)资助

摘　　要：为了将线性规划中的基础理论之一的择一定理推广到一般线性锥系统上,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择一定理.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择一定理,且择一定理结论的表达式基本相同.这为进一步研究锥规划提供便利.For Gordan selection theorems, one part of the basic theories of linear programming extending to the conic linear system, Gordan selection theorems of the conic linear system with the dual cone and Farkas lemma of the conic linear system was put forward. The conclusion shows that to any conic linear system and its dual system including homogeneous linear inequalities, Gordan Selection Theorems exist, and the expressions are the same. It offers the convenience to investigate the conic programming.

关 键 词：线性锥系统 对偶锥 FARKAS引理 择一定理 

分 类 号：O177.2[理学—数学]