| 关于正定矩阵的几个问题 |
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| 引用本文： | 郑秉文.关于正定矩阵的几个问题[J].大学数学,1998(1). |
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| 作者姓名： | 郑秉文 |
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| 作者单位： | 吉林电气化高等专科学校 |
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| 摘 要： | 本文推广了文［１］的主要定理，给出了用低阶矩阵判定高阶矩阵正定的判定定理，同时给出了矩阵方程ＡＸ＝Ｂ的反问题在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： | 正定矩阵 对称正定矩阵 |
Several Problems on Positive Definite Matrices |
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| Zheng Bingwen.Several Problems on Positive Definite Matrices[J].College Mathematics,1998(1). |
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| Authors: | Zheng Bingwen |
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| Abstract: | Main theorem in reference bibliography is generalized in this paper. A theorem to determine the 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 positive definite matrices is given too with the general form of the solution as well. |
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| Keywords: | positive definite matrix symmetrical positive definite matrix |
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