| 分块矩阵有定性的判据Ⅱ |
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| 引用本文： | 郭希娟,汤淑英,宋玉霞.分块矩阵有定性的判据Ⅱ[J].信阳师范学院学报(自然科学版),2001,14(2):125-127. |
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| 作者姓名： | 郭希娟 汤淑英 宋玉霞 |
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| 作者单位： | 1. 燕山大学,河北,秦皇岛,066004
2. 河北工业管理学校,河北,秦皇岛,066004 |
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| 摘 要： | 给出了分类矩阵有定性的一个判据以及矩阵方程XA=B有定性的解存在的充要条件和解的一般形式。
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| 关 键 词： | 广义对称半正定 矩阵方程 分块矩阵 对称正定阵 |
| 文章编号： | 1003-0972(2001)02-0125-03 |
On criterion for the definiteness of portioned matrices Ⅱ |
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| GUO Xijuan ,TANG Shu ying ,SONG Yu xia.On criterion for the definiteness of portioned matrices Ⅱ[J].Journal of Xinyang Teachers College(Natural Science Edition),2001,14(2):125-127. |
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| Authors: | GUO Xijuan TANG Shu ying SONG Yu xia |
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| Institution: | GUO Xijuan 1,TANG Shu ying 2,SONG Yu xia 1 |
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| Abstract: | A criterion for the definiteness of the portioned matrices is presented,and the necessary and sufficient conditions under which the solutions for the definiteness of the matrix equation XA=B exist are given,and the general forms of the solutions are also given. |
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| Keywords: | generalized symmetric positive semidefiniteness matrix equation general solution |
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