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| 关于Sylvester惯性律的一种变型 | |
| 引用本文： | 陈公宁,岳晓鹏,孟晓然.关于Sylvester惯性律的一种变型[J].数学的实践与认识,2010,40(17). |
| 作者姓名： | 陈公宁 岳晓鹏 孟晓然 |
| 摘 要： | 借助连续性推证与Hermite矩阵特征值的Courant-Fischer定理给出关于Sylvester惯性律一种变型的简化证明. |
| 关 键 词： | 矩阵惯性 Sylvester惯性律 连续性推证 Courant-Fischer定理 |
A Version of Sylvester's Law of Inertia |
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| CHEN Gong-ning,YUE Xiao-peng,MENG Xiao-ran.A Version of Sylvester's Law of Inertia[J].Mathematics in Practice and Theory,2010,40(17). | |
| Authors: | CHEN Gong-ning YUE Xiao-peng MENG Xiao-ran |
| Abstract: | A simplified proof of a version of Sylvester's law of inertia is given in virtue of continuity argument with Courant-Fischer theorem on eigenvalues of Hermitian matrices. |
| Keywords: | matrix inertia Sylvester's law of inertia continuity argument courant-fischer theorem |
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