| 广义二次型的标准形 |
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| 引用本文： | 寿玉亭,刘长河,马龙友.广义二次型的标准形[J].北京建筑工程学院学报,2001,17(3):36-41. |
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| 作者姓名： | 寿玉亭 刘长河 马龙友 |
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| 作者单位： | 基础部,北京,100044 |
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| 摘 要： | 本文给出了广义二次型的概念 ,并用数学分析的方法研究了它的标准形的存在性及唯一性 ,也研究了将广义二次型化为标准形时所需正交变换矩阵的求法
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| 关 键 词： | 正交矩阵 二次型 奇异值 |
| 文章编号： | 1004-6011(2001)03-0036-06 |
| 修稿时间： | 2000年10月23日 |
The Canonical Form of Extended Quadratic Form |
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| Shou Yuting,Liu Changhe,Ma Longyou.The Canonical Form of Extended Quadratic Form[J].Journal of Beijing Institute of Civil Engineering and Architecture,2001,17(3):36-41. |
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| Authors: | Shou Yuting Liu Changhe Ma Longyou |
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| Abstract: | The concept of extended quadratic form is supposed and the existence and uniqueness of its canonical form are studied on method of analysis of mathematics. At the meantime, the method for obtaining the orthogonal transformation matrix which is needed while the extended quadratic form is changed into its canonical form is given in this paper. |
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| Keywords: | orthogonal matrix quadratic form singular value |
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