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锥规划解的一种判别方法
引用本文:安中华,安琼.锥规划解的一种判别方法[J].湖北大学学报(自然科学版),2007,29(3):224-227.
作者姓名:安中华  安琼
作者单位:[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
基金项目:国家重点基础研究发展计划(973计划)
摘    要:将线性规划的基本可行解等概念引入到锥规划中,讨论了锥规划的解、基本可行解及可行域顶点的关系,最终利用对偶锥的概念得到了锥规划解判别方法.从所得结论可见,利用对偶锥、锥规划和线性规划解的判别方法具有相同的表示形式,且所得锥规划解的判别方法简单便于使用,这为进一步研究锥规划的求解和讨论有关性质提供了便利.

关 键 词:基本可行解  锥规划  对偶锥  
文章编号:1000-2375(2007)03-0224-04
收稿时间:2006-02-23
修稿时间:2006-02-23

Conditions for the solution of a conic programming
AN Zhong-hua,AN Qiong.Conditions for the solution of a conic programming[J].Journal of Hubei University(Natural Science Edition),2007,29(3):224-227.
Authors:AN Zhong-hua  AN Qiong
Institution:1. Department of Mathematics and Measure Economy, Huhei Institute of Education, Wuhan 430205, China; 2. Institute of Soil Science, Chinese Academy of Sciences, Nanjing 210008, China
Abstract:The basic feasible solution is introduced to the conic programming, the relations of the optimal solution, the basic feasible solution and the extreme point of the feasible region are discussed, and finally the conditions for the solution of a conic programming are gotten. With a dual cone, formats of the conditions are same as a linear programming. They are simple for using, and offer convenience for studying the method solving the conic programming.
Keywords:basic feasible solution  conic programming  dual cone  optimal solution the the
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