| 一般有理插值问题的完全解 |
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| 引用本文： | 陈公宁,张惠品.一般有理插值问题的完全解[J].北京师范大学学报(自然科学版),1993,29(4):465-466. |
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| 作者姓名： | 陈公宁 张惠品 |
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| 作者单位： | 北京师范大学数学系，北京师范大学数学系 100875 北京，100875 北京 |
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| 摘 要： | 文献1]应用Lwner与Hankel矩阵解法得出一般有理插值问题的McMillan次数小于插值点个数N(含重数)的所有真有理解及其参数表示.沿用1]中记号与术语,我们在本文中继续考虑这个插值问题并得到包括真与非真有理解在内的所有解及其参数表示(详情见2]),因而完全解决该问题。给出一般有理插值问题{(x_i,Y_(ik)),i=1,…,t;k=0,…τ_i-1},其Hankel向量记为b∈Q~(N-J),N=sum from i=1 to tτ_i.设n_1,n_2为b的特征度;(p(λ),q(λ))为典型特征多项式对.令α(λ)=p(λ)ω(λ)
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| 关 键 词： | 有理插值问题 Hankel向量 特征度 |
COMPLETE SOLUTION TO THE GENERAL RATIONAL INTERPOLATION PROBLEM IN SCALAR CASE |
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| Chen Gongning Zhang Huipin.COMPLETE SOLUTION TO THE GENERAL RATIONAL INTERPOLATION PROBLEM IN SCALAR CASE[J].Journal of Beijing Normal University(Natural Science),1993,29(4):465-466. |
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| Authors: | Chen Gongning Zhang Huipin |
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| Abstract: | Following a former paper of the first author joint with Zhao Bin the pres- ent report deals with the completesolution to the general rational interpolation problem in scalar case. A parametrization on all solutions is given in terms of the linear fractional representation formulas based on the so-called Hankel vector theory setting. |
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| Keywords: | rational interpolation problem Hankel vector characteristic degrees pair of canonical characteristic polynomials rational interpolant |
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