| 正定矩阵的子式阵仍是正定矩阵的一个充要条件 |
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| 引用本文： | 蒋忠樟.正定矩阵的子式阵仍是正定矩阵的一个充要条件[J].数学年刊A辑(中文版),2006(2). |
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| 作者姓名： | 蒋忠樟 |
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| 作者单位： | 金华职业技术学院 浙江 |
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| 基金项目： | 浙江省教育厅(No．20051313)资助的项目 |
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| 摘 要： | 文2]证明了实对称正定矩阵的子式阵仍然是实对称正定矩阵,文3]给出了一般的正定矩阵的的概念,本文利用标准型给出了一般正定矩阵的子式阵仍然是正定矩阵的充要条件．
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| 关 键 词： | 正定矩阵 子式阵 标准型 |
A Necessary and Sufficient Condition under Which a Minor Matrix of Positively Definite Matrix Is Still Positively Definite |
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| JIANG Zhongzhang Jinhua College of Profession and Technology,Jinhua ,Zhejiang,China..A Necessary and Sufficient Condition under Which a Minor Matrix of Positively Definite Matrix Is Still Positively Definite[J].Chinese Annals of Mathematics,2006(2). |
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| Authors: | JIANG Zhongzhang Jinhua College of Profession and Technology Jinhua Zhejiang China |
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| Institution: | JIANG Zhongzhang Jinhua College of Profession and Technology,Jinhua 321017,Zhejiang,China. |
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| Abstract: | Reference 2] has proved that minor matrix of real symmetric posivively definite matrix is still real symmetric positively definite,Reference 3] gave the general conception of positively definite matrix.This paper uses standard form to give a sufficient and necessary condition and minor matrix of general positively definite matrix is still positively definite. |
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| Keywords: | Positively definite matrix Minor matrix Standard form |
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