择一定理及不可微分式规划  

Alternative Theorem and Nondifferentiable Fractional Programming

作　　者：伍小林[1] 王世儒 陈开周[1] 

机构地区：[1]西安电子科技大学应用数学系,西安710071

出　　处：《工程数学学报》1993年第4期44-54,共11页Chinese Journal of Engineering Mathematics

摘　　要：本文首先建立一个新的代数系统的等价性定理及择—性定理。然后以此为工具研究了一类其分子与分母都包含二次型平方根的有限和的非线性分式规划,得到了最优解的必要条件。最后利用广义凸函数给出了最优解的充分条件以及对偶理论。A new equivalent theorem of algebric system and A new alternative theorem is established in this paper, and by use of which a class of nonlinear fractional programming problems is considered in which the objective function involves a finite sum of square roots of quadratic forms. Optimality conditions and duality theory are established in the framework of generalized convex functions.

关 键 词：择一性定理 对偶理论 分式规划 不可微分式规划 

分 类 号：O221[理学—运筹学与控制论]