| 正定矩阵的推广及其在线性互补问题中的应用 |
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| 引用本文： | 雍龙泉.正定矩阵的推广及其在线性互补问题中的应用[J].广西科学,2007,14(2):120-121. |
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| 作者姓名： | 雍龙泉 |
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| 作者单位： | 陕西理工学院数学系,陕西汉中,723001 |
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| 基金项目： | 陕西理工学院校科研和教改项目 |
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| 摘 要： | 从广义正定矩阵的概念出发,把广义正定矩阵推广到P矩阵和S矩阵,指出这些矩阵之间的关系,提出可以用广义正定矩阵来判别线性互补问题的解的存在性和唯一性.
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| 关 键 词： | 正定矩阵 P矩阵 S矩阵 线性互补 |
| 文章编号： | 1005-9164（2007）02-0120-02 |
| 收稿时间： | 2006-09-25 |
| 修稿时间： | 2006-09-252006-11-23 |
Extension and Application of Positive Definite Matrix in Linear Complementary |
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| YONG Long-quan.Extension and Application of Positive Definite Matrix in Linear Complementary[J].Guangxi Sciences,2007,14(2):120-121. |
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| Authors: | YONG Long-quan |
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| Institution: | Department of Mathematics, Shanxi University of Technology, Hanzhong, Shanxi, 723001, China |
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| Abstract: | The definition of generalized positive definite matrix is introduced.We extend it into P-matrix and S-matrix.The inner relations of these matrixes are pointed.Finally,the applications of these matrixes are obtained in linear complementary problem to decide the existence and uniqueness of solution. |
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| Keywords: | positive definite matrix P-matrix S-matrix linear complementary |
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