| 关于广义正定矩阵的几个问题 |
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| 引用本文： | 姜泽宏,郭希娟.关于广义正定矩阵的几个问题[J].东北电力学院学报,1996,16(2):42-45. |
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| 作者姓名： | 姜泽宏 郭希娟 |
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| 作者单位： | [1]长春水利电力高等专科学校 [2]东北重型机械学院 |
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| 摘 要： | 本文给出了用低阶矩阵来判定高阶矩阵的广义对称正定的判定定理。同时给出了矩阵方程ＡＸ＝Ｂ的反问题在广义对称正定矩阵类中解存丰的充要条件及一般形式。
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| 关 键 词： | 对称正定 广义对称正定 矩阵论 |
Several Problems on Generalized Positive Definite Matrices |
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| Jiang Zehong.Several Problems on Generalized Positive Definite Matrices[J].Journal of Northeast China Institute of Electric Power Engineering,1996,16(2):42-45. |
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| Authors: | Jiang Zehong |
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| Abstract: | A theorem to determine the generalized positive definiteness of high-order matrices by low-order matrices is given.Further,the necessary and sufficient condition for the existence of the solution to the inverse problem of matrix equation AX=B in the set of generalized symmetric positive definite matrices is given too with the general form of the solution as well. |
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| Keywords: | symmetric positive definite generalized symmetric positive definite |
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