| 一类带重点的退化Nevanlinna—Pick插值问题 |
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| 引用本文： | 白庆余,胡永建.一类带重点的退化Nevanlinna—Pick插值问题[J].北京师范大学学报(自然科学版),1998,34(4):456-461. |
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| 作者姓名： | 白庆余 胡永建 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 运用Ｈａｎｋｅｌ向量的方法求解一类带重点的退化Ｎｅｖａｎｌｉｎｎａ－Ｐｉｃｋ插值问题，在问题有解时给出解的具体表示式，已有的一些结论也被简化和推广。
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| 关 键 词： | Hankel矩阵 Hankel向量 特征度 N－P插值 重点 |
A CLASS OF DEGENERATE NEVANLINNA-PICK INTERPOLATION PROBLEMS WITH MULTIPLE NODES |
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| Bai Qingyu, Hu Yongjian, Chen Gongning.A CLASS OF DEGENERATE NEVANLINNA-PICK INTERPOLATION PROBLEMS WITH MULTIPLE NODES[J].Journal of Beijing Normal University(Natural Science),1998,34(4):456-461. |
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| Authors: | Bai Qingyu Hu Yongjian Chen Gongning |
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| Abstract: | Hankel vector approach is used to solve a class of degenerate Nevanlinna-Pick problems with multiple nodes. An explicit formula of the solutions in given when the NP problem is solvable. Such a treatment yields some generalizations and simpler proofs of relative known results as well. |
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| Keywords: | generalized Pick matrix Hankel matrix Bezout matrix Hankel vector characteristic degrees pair of characteristic polynomials Schur complement |
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