| Euclid空间中矩阵正定性判别的新方法 |
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| 引用本文： | 刘洪运.Euclid空间中矩阵正定性判别的新方法[J].商丘职业技术学院学报,2002,1(3):28-30. |
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| 作者姓名： | 刘洪运 |
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| 作者单位： | 商丘职业技术学院,河南,商丘,476000 |
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| 摘 要： | 讨论Euclid空间中n阶实对称矩阵A是否正定,一直是矩阵理论中的重要问题。一改传统方法,从矩阵分解入手,逐步推导出一种新颖的判定方法,并给出将n阶实对称矩阵A分解为特殊三角矩阵与对角矩阵乘积的具体计算公式。
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| 关 键 词： | 实对称矩阵 特殊三角矩阵 对角矩阵 正定 |
| 文章编号： | 1671-8127(2002)03-0028-03 |
| 修稿时间： | 2002年3月8日 |
The new method of judgement for matrix positive definite in Euclid space |
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| LIU Hong - yun.The new method of judgement for matrix positive definite in Euclid space[J].Journal of Shangqiu Vocational and Technical College,2002,1(3):28-30. |
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| Authors: | LIU Hong - yun |
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| Abstract: | In the discussion of Euclid space ,the matter if n order real symmetric matrix A is positive definite remained important in the theory of matrix . changing the traditional method , starting with the matrix delomposition ,we made out a new method of judgement steo by step ,and made out the coconerete compute formula that decompoded norder real symmetric matrix A into the product of special triangle matrix and diagonal matrix . |
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| Keywords: | real symmetric matrix special triangle matrix diagonal matrix positive definite |
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