| 线性锥系统的Tucker引理 |
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| 引用本文： | 安中华.线性锥系统的Tucker引理[J].江汉大学学报(自然科学版),2008,36(1):1-3. |
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| 作者姓名： | 安中华 |
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| 作者单位： | 湖北第二师范学院,数学与计量经济系,武汉,430205 |
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| 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.
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| 关 键 词： | 线性锥系统 对偶锥 Farkas引理 Tucker引理 |
| 文章编号： | 1673-0143(2008)01-0001-03 |
| 修稿时间： | 2007年8月31日 |
Tucker Lemma of Conic Linear System |
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| AN Zhong-hua.Tucker Lemma of Conic Linear System[J].Journal of Jianghan University:Natural Sciences,2008,36(1):1-3. |
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| Authors: | AN Zhong-hua |
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| Institution: | AN Zhong-hua (Department of Mathematics and Measure Economics, Hubei University of Education, Wuhan 430205, China) |
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| Abstract: | 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 Tu-cker lemma of the conic linear system.The conclusion shows that to any conic linear system inclu-ding 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. |
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| Keywords: | conic linear system dual cone Farkas lemma Tucker lemma |
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