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Hankel矩阵及其在矩问题中的应用

Hankel Matrices and Its Applications in Moment Problem
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摘要 本文利用Hankel矩阵生成元得到了Hankel矩阵非奇异的充要条件,并给出了Hankel矩阵首一既约生成元的具体形式。在此基础上,给出了一类矩问题可解的充要条件。 In this paper,the necessary and sufficient conditions for nonsingularity of Hankel matrix are obtained by using the generator of Hankel matrix.And the concrete form of the monic irreducible generator of Hankel matrix is also given.On this basis,the necessary and sufficient conditions for the solvability of a class of moment problems are given.
作者 徐香勤 XU Xiang-qin(Faculty of Science/Henan University of Animal Husbandry and Economy,Zhengzhou 450021,China)
出处 《山东农业大学学报(自然科学版)》 北大核心 2020年第4期782-784,共3页 Journal of Shandong Agricultural University:Natural Science Edition
基金 河南省科技厅软科学研究计划项目(182400410584)。
关键词 HANKEL矩阵 真正Hankel阵 生成元 矩问题 Hankel matrices proper Hankel matrice generator moment problem
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  • 1张惠品.Hankel阵,Bezout阵,Loewner阵及其与有理插值问题的关系.北京师范大学博士学位论文[M].,1992..
  • 2Chen Gongning,Yang Zhenghong.Bezoutian representation via Vandermonde matrices[J].Linear Algebra Appl,1993,186:37-44.
  • 3北京大学数学系几何与代数教研室代数小组.高等代数[M]·第3版[M].北京:高等教育出版社,2004..
  • 4PAL D,KAILATH T.Fast triangular factorization and inversion of Hankel and related matrices with arbitrary rank profile[J].SIAM J Matrix Anal Appl,1994,15:451-478.
  • 5RISSANEN J.Solution of linear equations with Hankel and Toeplitz matrices[J].Numer Math,1974,22:361-366.
  • 6BAREISS E H.Numerical solution of linear equation with Hankel and vector Hankel matrices[J].Numer Math,1969,13:404-424.
  • 7GOHBERG I,KAILATH T,KOLTRACHT I.Efficient solution of linear systems of equations with recursive structure[J].Linear Algebra Appl,1986,80:81-113.
  • 8KAIKE H A,BLOCK.Hankel matrix inversion[J].SLAM Appl Math,1973,24:234-241.
  • 9FREUND R W,ZHA H.A look-ahead algorithm for the solution of general Hankel systems[J].Numer Math,1993,64:295-321.
  • 10TRENCH W F.An algorithm for the inversion of finite Hankel matrices[J].J Soc Indust Appl Math,1965,13:1102-1107.

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