线性锥系统的Tucker引理  

Tucker Lemma of Conic Linear System

作　　者：安中华[1] 

机构地区：[1]湖北第二师范学院数学与计量经济系,武汉430205

出　　处：《江汉大学学报（自然科学版）》2008年第1期1-3,共3页Journal of Jianghan University：Natural Science Edition

摘　　要：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Tucker引理.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Tucker引理,且Tucker引理结论的表达式基本相同.For generalizing Tucker lemma which is one of the basic theories to the conic linear system, applies the dual cone concept and Farkas lemma of the conic linear system, and proves Tucker lemma of the conic linear system. The conclusion shows that to any conic linear system including homogeneous linear inequalities and its dual system, Tucker lemma exists, and the expressions of Tucher lemma conclusion are almost the same. It offers the convenience to study the conic pro- gramming.

关 键 词：线性锥系统 对偶锥 FARKAS引理 Tucker引理 

分 类 号：O177.2[理学—数学]