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一般线性互补问题解的存在性研究
The Existence of Solution to General Linear Complementary Problem
【摘要】 线性互补问题的解与变分不等式问题的解是等价的.基于变分不等式H-S定理给出了一般线性互补问题解的存在性定理.并证明了当矩阵M为对角占优矩阵时,对于可行的线性互补问题解是存在的.
【Abstract】 The solution to general linear complementary problem is equivalent to that of variational inequalities. Based on the H-S theorem,the existence of solution to general linear complementary problem is proved. We also prove that when the matrix is diagonally dominant one,the solution to feasible linear complementary problems is definite.
【关键词】 线性互补;
变分不等式;
解的存在性;
对角占优矩阵;
【Key words】 linear complementary; variational inequality; the existence of solution; diagonally dominant matrix;
【Key words】 linear complementary; variational inequality; the existence of solution; diagonally dominant matrix;
【基金】 国家自然科学基金资助项目(11101211)
- 【文献出处】 西安文理学院学报(自然科学版) ,Journal of Xi’an University of Arts & Science(Natural Science Edition) , 编辑部邮箱 ,2014年03期
- 【分类号】O221.1
- 【下载频次】48