| Vandermonde矩阵的Mobius变换 |
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| 引用本文： | 刘冰,吴化璋.Vandermonde矩阵的Mobius变换[J].合肥工业大学学报(自然科学版),2011(11):1753-1755. |
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| 作者姓名： | 刘冰 吴化璋 |
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| 作者单位： | 合肥工业大学数学学院; |
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| 基金项目： | 安徽省自然科学基金资助项目(090416230) |
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| 摘 要： | 文章给出合流Vandermonde矩阵经Mobius变换得到的一种广义表示,并由此推出了Bezout矩阵的Vandermonde约化.Bezout矩阵的Vandermonde约化保持了惯性不变性,在系统控制理论中对系统的稳定性有重要的应用.
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| 关 键 词： | Mobius变换 Vandermonde矩阵 Bezout矩阵 |
Mobius transformations of Vandermonde matrix |
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| LIU Bing,WU Hua-zhang.Mobius transformations of Vandermonde matrix[J].Journal of Hefei University of Technology(Natural Science),2011(11):1753-1755. |
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| Authors: | LIU Bing WU Hua-zhang |
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| Institution: | LIU Bing,WU Hua-zhang(School of Mathematics,Hefei University of Technology,Hefei 230009,China) |
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| Abstract: | In this paper,a generalized expression of confluent Vandermonde matrix via Mobius transformations is obtained.And the Vandermonde reduction of Bezout matrix is developed.Vandermonde reduction of Bezout matrix keeps the invariance of its inertia,which is important to the system's stability in the system control theorem. |
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| Keywords: | Mobius transformation Vandermonde matrix Bezout matrix |
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