锥规划的最优性和对偶性研究  

Study on optimality and duality of conic programming

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：《福州大学学报（自然科学版）》2007年第4期494-498,共5页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家重点基础研究发展规划资助项目(2002CB410805)

摘　　要：利用对偶锥的概念,将对偶规划和基本可行解等概念引到锥规划中,讨论了这些概念和最优解的关系,给出了锥规划最优解的判别方法,研究了锥规划对偶规划的主要性质.从所得结论可见,利用对偶锥,线性规划和锥规划的对偶性、最优解判别方法等有相同的表述形式.With a dual cone, the dual programming and the basic feasible solution are introduced to conic programming, the relations between them and the optimal solution are discussed, the conditions for the optimal solution are gotten, and the main dual properties are studied, about conic programming. And the expressions of the conclusions are like linear programming.

关 键 词：锥规划 对偶锥 对偶规划 基本可行解 最优解 

分 类 号：O177.2[理学—数学]