| 拟广义正定矩阵 |
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| 引用本文： | 米永生.拟广义正定矩阵[J].文山师范高等专科学校学报,2007,20(2):95-97. |
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| 作者姓名： | 米永生 |
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| 作者单位： | 长江师范学院,数学系,重庆,涪陵,408003 |
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| 摘 要： | 受C.R.Johnson、佟文廷、夏长富等的启发,给出了拟广义正定矩阵的定义,并得出了拟广义正定矩阵的几个充分必要条件及其它若干性质;进一步得到了行列式的一些不等式,推广和改进了近期广义正定矩阵的一些相关结果.
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| 关 键 词： | 正定矩阵 广义正定矩阵 亚正定矩阵 行列式 |
| 文章编号： | 1671-3303（2007）02-0095-03 |
| 收稿时间： | 2007-04-23 |
| 修稿时间： | 2007-04-23 |
Quasi Generalized Positive Definite Matrix |
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| MI Yong-sheng.Quasi Generalized Positive Definite Matrix[J].Journal of Wenshan Teachers College,2007,20(2):95-97. |
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| Authors: | MI Yong-sheng |
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| Institution: | Mathematics Department of Yangtze Normal University, Fuling, Chongqing 408003, China |
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| Abstract: | In this paper,the concept of the quasi generalized positive definite matrices is given,and some sufficient and necessary condition of the quasi generalized positive definite matrices and its other simple properties are represented.Furthermore,we obtain some inequalities for determinant of generalized positive matrices and the results of references are generalized and improved. |
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| Keywords: | positive definite matrix generalized positive definite matrix subpositive Definite Matrix determinant |
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