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双切矩阵多项式插值的拉格朗日公式 被引量:2

LAGRANGE'S FORMULA FOR BI-TANGENTIAL INTERPOLATION OF MATRIX POLYNOMIALS
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摘要 研究齐次与非齐次的双切矩阵多项式插值问题 。 The problem of bi tangential interpolation of matrix polynomials is investigated for both homogeneous and inhomogeneous cases. And Lagranges formulas for unconstrained interpolation of scalar polynomials and tangential interpolation of vector polynomials are generalized as well.
出处 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第4期427-431,共5页 Journal of Beijing Normal University(Natural Science)
基金 国家自然科学基金资助项目 (1 9971 0 0 9) 数学天元基金资助项目 (TY1 0 1 2 60 0 9)
关键词 双切矩阵多项式插值 拉格朗日公式 双切插值 标准三元组 无约束多项式插值 单切向量多项式插值 bi tangential interpolation matrix polynomial standard triple Lagranges formula
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参考文献1

二级参考文献4

  • 1黄宝贞 胡永建.关于Sylvester方程的满秩解[J].北京师范大学学报:自然科学版,1998,34:1-1.
  • 2Yang Zhenghong,Linear Algebra Appl,2000年,308卷,31页
  • 3Chen Gongning,Linear Algebra Appl,1999年,286卷,223页
  • 4黄宝贞,北京师范大学学报,1998年,34卷,增刊,1页

同被引文献10

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  • 8Chen Gongning, Hu Yongjian. On the multiple Nevanlinna-Pick matrix interpolation in class lp and the Caratheodory matrix coefficient problem [J]. Linear Algebra and its Applications, 1998, 283 : 179.
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