| 分块矩阵有定性判剧 |
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| 引用本文： | 汤淑英,张健.分块矩阵有定性判剧[J].齐齐哈尔大学学报(自然科学版),2005,21(1):82-84. |
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| 作者姓名： | 汤淑英 张健 |
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| 作者单位： | 秦皇岛职业技术学院基础部,秦皇岛,066004;燕山大学电气工程学院,秦皇岛,066004 |
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| 摘 要： | 给出了分块矩阵有定性的一个判剧，以及矩阵方程XA=B有定性的解存在充要条件及一般形式。
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| 关 键 词： | 实部半正定 矩阵 一般解 |
| 文章编号： | 1007-984X(2005)01-0082-03 |
| 修稿时间： | 2004年11月2日 |
On crtterion for the defntteness of partioned matrices |
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| TANG Shu-ying,ZHANG Jian.On crtterion for the defntteness of partioned matrices[J].Journal of Qiqihar University(Natural Science Edition),2005,21(1):82-84. |
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| Authors: | TANG Shu-ying ZHANG Jian |
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| Institution: | TANG Shu-ying1 ZHANG Jian2 |
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| Abstract: | In this paper, a criterion for the definiteness of the parthoned matrices is presented, and the necessary and sufficient conditions under which the sdutions for the definiteness of the matrix equation XA = B exist are given,and the general forms of the solutions are also geven. |
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| Keywords: | real part symmetric positive semidefiniteness matrix equation general solution |
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