由共轭函数构造锥规划的对偶规划  

Constructing the dual programming of a conic programming with a conjugate function

作　　者：安中华[1] 安琪[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]华中科技大学数学系,湖北武汉430074

出　　处：《武汉工程大学学报》2008年第2期120-122,126,共4页Journal of Wuhan Institute of Technology

摘　　要：以共轭函数和凸规划的对偶规划为基础,利用对偶锥的概念,全面讨论了一般锥规划的对偶问题,严格推导出锥规划对偶规划的表示形式,给出了锥规划的主要对偶性质,并用这些结果研究了常见锥规划的对偶性.所得结论具有简单、便于应用和适用广泛等优点.这为进一步研究锥规划提供了便利.In this paper, based on the conjugate function and the dual programming programming, with the dual cone, to conic programming, the dual programming is fully dis expression of the dual programming is educed, the main dualities are proved, and the dua familiar conic programming are studied. The conclusions are simple, easy to use and widely It offers convenience studying the conic programming.

关 键 词：共轭函数 锥规划 对偶锥 对偶规划 

分 类 号：O177.2[理学—数学]