| 正定矩阵的降阶判别法及其应用 |
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| 引用本文： | 赵贤淑,杨莉军.正定矩阵的降阶判别法及其应用[J].北京印刷学院学报,2000,8(2):40-43,55. |
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| 作者姓名： | 赵贤淑 杨莉军 |
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| 作者单位： | 北京印刷学院基础课部，北京102600 |
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| 摘 要： | 通过合同变换，n阶定对称矩阵的正定性完全可以由n-1阶实对称矩阵的正定性确定，从而得到一个判定正定矩阵的充分必要条件，用它可以降阶判别矩阵的正定性。
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| 关 键 词： | 降阶判别法 正定矩阵 合同变换 正定性 |
Dicrimination Method of Reduction of Order of Positive Definite Matrix and its Application |
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| ZHAO Xian,shu,YANG Li,jun.Dicrimination Method of Reduction of Order of Positive Definite Matrix and its Application[J].Journal of Beijing Institute of Graphic Communication,2000,8(2):40-43,55. |
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| Authors: | ZHAO Xian shu YANG Li jun |
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| Abstract: | The positive definition of n order real symmetric matrix can be determined by n 1 order real symmetric matrix with congruent transformation.And one necessary and sufficient condition of a positive definite matrix is proved,it can judge positive definite matrix with reducing to a lower order. |
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| Keywords: | positive definite matrix Positive exponential inertial congruent transformation |
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