| 一类对称Loewner矩阵及其可逆性 |
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| 引用本文： | 朱道宇.一类对称Loewner矩阵及其可逆性[J].贵州大学学报(自然科学版),2008,25(5). |
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| 作者姓名： | 朱道宇 |
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| 作者单位： | 贵州民族学院,数学与计算机科学学院,贵州,贵阳,550025 |
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| 摘 要： | 利用对称Loewner矩阵与有理函数插值之间的内在联系,给出一类对称Loewner矩阵非奇异的充要条件,并给出逆矩阵的明确表达式,以及满足一定条件的奇异对称Loewner矩阵的Moore-Penrose逆的明确表达式.
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| 关 键 词： | 对称Loewner矩阵 有理函数插值 交错积 |
A Kind of Symmetric Loewner Matrices and Their Invertibility |
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| ZHU Dao-yu.A Kind of Symmetric Loewner Matrices and Their Invertibility[J].Journal of Guizhou University(Natural Science),2008,25(5). |
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| Authors: | ZHU Dao-yu |
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| Institution: | ZHU Dao-yu(School of Mathematics , Computer Science,Guizhou University for Nationalities,Guiyang 550025,China) |
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| Abstract: | On the basis of intrinsic connections between symmetric Loewner matrix and interpolation for rational functions,this paper gives necessary and sufficient conditions for the invertibility of a complex symmetric Loewner matrix.An explicit formula for the inverse is given when these conditions are met.An explicit formula for Moore-Penrose generalized inverse of a singular symmetric Loewner matrix under certain conditions is also presented. |
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| Keywords: | Symmetric Loewner matrix interpolation for rational functions interlacing products |
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