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线性规划问题的最优解的广义逆矩阵理论
引用本文:王爱武.线性规划问题的最优解的广义逆矩阵理论[J].南昌教育学院学报,2011,26(2):75-75,77.
作者姓名:王爱武
作者单位:太原理工大学阳泉学院,山西阳泉,045000
摘    要:文中利用广义逆矩阵研究线性规划问题,并给出了线性规划问题与线性不等式组的关系,简洁地证明了在广义逆矩阵下线性规划问题有最优解的一些充要条件以及在广义逆矩阵下的对偶定理,为研究线性规划问题的解提供了一种新方法。

关 键 词:线性规划  最优解  广义逆矩阵  g逆  最小广逆

Theory on the optimal solution to generalized inverse matrix In linear program
Wang Ai-wu.Theory on the optimal solution to generalized inverse matrix In linear program[J].Journal of Nanchang College of Education,2011,26(2):75-75,77.
Authors:Wang Ai-wu
Institution:Wang Ai-wu(Yangquan College of Taiyuan Technology University,Yangquan Shanxi,045000,China)
Abstract:The essay studies the linear programming with aid of generalized inverse matrix and has suggested the relationship between linear programming problems and the sets of inequalities.It simply proves the necessary conditions of optimal solution to generalized inverse matrix in linear program and duality theory under it and provides a new method to solve the problems in linear programming analysis as well.
Keywords:linear programming  optimal solution  generalized inverse matrix  g inverse  minimum generalized inverse matrix  
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