| 矩阵方程AX=B的一类反问题 |
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| 引用本文： | 郭晞娟,赵玉鹏.矩阵方程AX=B的一类反问题[J].齐齐哈尔大学学报(自然科学版),1992(3). |
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| 作者姓名： | 郭晞娟 赵玉鹏 |
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| 作者单位： | 东北重型机械学院
(郭晞娟)，东北重型机械学院(赵玉鹏) |
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| 摘 要： | 本文给出了用低阶矩阵的广义对称正定性来判定高阶矩阵的广义对称正定性的判定定理,并且给出了矩阵方程AX=B的反问题在广义对称正定矩阵类中解存在的充要条件及解的一般形式。
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| 关 键 词： | 矩阵 正定矩阵 矩阵方程 |
Notes on Generalized Positive Definite Symmetric Real Square Matrices |
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| Guo Xijuan Zhao Yupeng.Notes on Generalized Positive Definite Symmetric Real Square Matrices[J].Journal of Qiqihar University(Natural Science Edition),1992(3). |
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| Authors: | Guo Xijuan Zhao Yupeng |
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| Institution: | Northeast Institute of Heavy Machinery |
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| Abstract: | In this paper, a criterion is presented for the determination of generalized symmetric positive definite matrices of high orders be the low order ones, the necessary and sufficient condition for thy existence of solutions of the inverse problem of matrix equation AX = B and the general form of the solutions are also given. |
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| Keywords: | Matrix Positive definite matrix Matrix equation |
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