| 正定矩阵的推广及其应用 |
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| 引用本文： | 雍龙泉.正定矩阵的推广及其应用[J].宝鸡文理学院学报(自然科学版),2007,27(2):113-115. |
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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： | 目的解决用广义正定矩阵来判别线性互补解的存在唯一性问题。方法采用推理的方法进行了证明。结果得到了当M是广义正定矩阵时,线性互补问题存在唯一解。结论此结果对于线性互补问题的研究具有重要的理论意义。
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| 关 键 词： | 广义正定矩阵 P矩阵 S矩阵 线性互补 |
| 文章编号： | 1007-1261（2007）02-0113-03 |
| 收稿时间： | 2006-12-13 |
| 修稿时间： | 2006-12-13 |
Extension and applications of positive definite matrix |
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| YONG Long-quan.Extension and applications of positive definite matrix[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2007,27(2):113-115. |
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| Authors: | YONG Long-quan |
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| Institution: | Dept. Math. , Shaanxi Univ. Tech. , Hanzhong 723001, Shaanxi, China |
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| Abstract: | Aim To solve question about the existence and uniqueness of the solution for linear complementary by using generalized positive definite matrix.Methods Generalization, illation are used to prove the conclusion.Results Linear complementary problem have unique solution when M is generalized positive definite matrix.Conclusion The result plays a leading role in the theoretical studies of linear complementary problem. |
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| Keywords: | generalized positive definite matrix P-matrix S-matrix linear complementary |
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