| Hermite矩阵广义Schur补的特征值交错性质 |
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| 引用本文： | 何淦瞳.Hermite矩阵广义Schur补的特征值交错性质[J].纯粹数学与应用数学,2008,24(3). |
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| 作者姓名： | 何淦瞳 |
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| 作者单位： | 贵州大学数学系,贵州,贵阳,550025 |
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| 基金项目： | 贵州省科技斤自然科学基金 |
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| 摘 要： | 研究了Hermite矩阵的Schur补的特征值交错性质,将Smith建立的结果推广到Hermite矩阵的广义Sclmr补.
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| 关 键 词： | 交错性质 广义Schur补 Moore-Penrose逆 特征值 |
On the interlacing properties of the generalized Schur complement of a Hermitian matrix |
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| HE Gan-tong.On the interlacing properties of the generalized Schur complement of a Hermitian matrix[J].Pure and Applied Mathematics,2008,24(3). |
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| Authors: | HE Gan-tong |
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| Institution: | HE Gan-tong Department of Mathematics,Gueizhou University,Gueiyang 550025,China |
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| Abstract: | In this paper, the interlacing properties of eigenvalues of the Schur complement of a Hermitian matrix,given by Smith, is extended to generalized Schur complement. |
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| Keywords: | Interlacing property Generalized Schur complement Moore-Penrose inverse Eigenvalue |
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