| 对称Loewner矩阵的若干性质 |
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| 引用本文： | 魏炜,朱道宇,胡永建.对称Loewner矩阵的若干性质[J].北京师范大学学报(自然科学版),2006,42(3):240-243. |
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| 作者姓名： | 魏炜 朱道宇 胡永建 |
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| 作者单位： | 北京师范大学数学科学学院,100875,北京;北京师范大学数学科学学院,100875,北京;北京师范大学数学科学学院,100875,北京 |
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| 基金项目： | 教育部高校科技创新工程重大项目，国家自然科学基金 |
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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2个非对角对称Loewner矩阵的乘积仍为复对称Loewner矩阵的充要条件,以及条件满足时乘积的明确表达式.
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| 关 键 词： | 对称Loewner矩阵 Hermite插值多项式 零化多项式 极大矩阵代数 |
| 收稿时间： | 2006-03-06 |
| 修稿时间： | 2006年3月6日 |
SOME PROPERTIES OF SYMMETRIC LOEWNER MATRICES |
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| Wei Wei,Zhu Daoyu,Hu Yongjian.SOME PROPERTIES OF SYMMETRIC LOEWNER MATRICES[J].Journal of Beijing Normal University(Natural Science),2006,42(3):240-243. |
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| Authors: | Wei Wei Zhu Daoyu Hu Yongjian |
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| Institution: | School of Mathematical Sciences, Beijing Normal University, 100875, Beijing, China |
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| Abstract: | On the basis of intrinsic connections between symmetric Loewner matrix and interpolation for rational functions,this paper gives the necessary and sufficient conditions for the product of two nondiagonal symmetric Loewner matrices being also a symmetric Loewner matrix.The explicit formula of the product of such two symmetric Loewner matrices is also derived when these conditions are met. |
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| Keywords: | symmetric Loewner matrix Hermite interpolation polynomial annihilator polynomial maximal matrix algebra |
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