| 一般线性互补问题解的存在性研究 |
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| 引用本文： | 孙艳波,;殷洪友.一般线性互补问题解的存在性研究[J].西安文理学院学报,2014(3):1-4. |
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| 作者姓名： | 孙艳波 ;殷洪友 |
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| 作者单位： | [1]南京航空航天大学金城学院,南京211156; [2]南京航空航天大学理学院,南京211156 |
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| 基金项目： | 国家自然科学基金资助项目（11101211） |
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| 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.
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| 关 键 词： | 线性互补 变分不等式 解的存在性 对角占优矩阵 |
The Existence of Solution to General Linear Complementary Problem |
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| Institution: | SUN Yan-bo, YIN Hong-you ( a. College of Jincheng ; b. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 211156, China) |
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| Abstract: | The solution to general linear complementary problem is equivalent to that of varia-tional inequalities. Based on the H-S theorem, the existence of solution to general linear com-plementary problem is proved. We also prove that when the matrix is diagonally dominant one, the solution to feasible linear complementary problems is definite. |
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| Keywords: | linear complementary variational inequality the existence of solution diagonally dominant matrix |
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