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Groebner基下分离子插值函数模型
引用本文:闵祥娟,齐紫微,刘艳霞,罗俊芝.Groebner基下分离子插值函数模型[J].装甲兵工程学院学报,2010,24(1).
作者姓名:闵祥娟  齐紫微  刘艳霞  罗俊芝
作者单位:装甲兵工程学院,基础部,北京,100072
摘    要:给出Groebner基下建立分离子插值函数模型的方法。对于任意离散时间序列可在字典序下找到相关分离子,并用此分离子构建该离散时间序列的函数模型,及其满足所给点列的多元插值函数。通过实例说明了模型建立过程。

关 键 词:Groebner基  分离子  函数模型

Interpolation Models with the Separators under the Groebner Bases
MIN Xiang-juan,QI Zi-wei,LIU Yan-xia,LUO Jun-zhi.Interpolation Models with the Separators under the Groebner Bases[J].Journal of Armored Force Engineering Institute,2010,24(1).
Authors:MIN Xiang-juan  QI Zi-wei  LIU Yan-xia  LUO Jun-zhi
Institution:MIN Xiang-juan,QI Zi-wei,LIU Yan-xia,LUO Jun-zhi(Department of Fundamental Courses,Academy of Armored Force Engineering,Beijing 100072,China)
Abstract:In this thesis, a method to construct the interpolation models with separators under the Groebner bases is proposed. By choosing the lexicographical order, the relevant separators are found, and the models of an arbitrary time series and the multivariate interpolation polynomial are constructed. With an example, the process of the construction of the interpolation models is demonstrated.
Keywords:Groebner bases  separator  polynomial models  
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