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内积空间上的拉格朗日型矩阵有理插值

Rational Interpolation of Lagrange-Type Matrix in Inner Product Space
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摘要 提出3种方法解决函数F(z)的矩阵值有理插值问题,其中F:C→CN×N,并给出相应算法来选择具有指定极点插值式的插值节点.最后,给出数值例子验证该方法的有效性. This paper proposes three different procedures for matrix-valued rational interpolation of a function F(z) , where F:C→CN×N, and devises an algorithm for selecting interpolation points of rational iterpolants with prescribed poles. Additionally, a numerical example is used to demonstrate effectiveness of the presented methods.
机构地区 上海大学理学院
出处 《上海大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第4期365-370,共6页 Journal of Shanghai University:Natural Science Edition
基金 上海市自然科学基金资助项目(10ZR1410900) 上海市重点学科建设资助项目(S30104)
关键词 矩阵值有理插值 拉格朗日插值 矩阵标量积 matrix-valued rational interpolation Lagrange interpolation scalar product of matrix
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参考文献13

  • 1BECKERMANN B, LABAHN G. Recursiveness in matrix rational interpolation problems [ J ]. J Comput Appl Math, 1997, 77(1/2) :5-34.
  • 2ANTOULAS A C, BALL J A, KANG J, et al. On the solution of the minimal rational interpolation problem [ J]. Linear Algebra Appl, 1990, 137:511-573.
  • 3ANDERSON B D O, ANTOULAS A C. Rational interpolation and state-variable realizationas [ J ]. Linear Algebra Appl, 1990, 137:479-509.
  • 4GU C Q. Thiele-type and Lagrange-type generalized inverse rational interpolation for rectangular complex matrices [ J]. Linear Algebra Appl, 1999, 295:7-30.
  • 5GRAVES-MORRIS P R. Vector valued rational interpolants I [J]. Numer Math, 1983, 42:331-348.
  • 6GRAVES-MORRIS P R, JENKINS C D. Vector valued rational interpolants Ill [ J]. Constr Approx, 1986, 2 : 263 -289.
  • 7GU C Q. Generalized inverse matrix Pad6 approximation on the basis of scalar product [ J]. Linear Algebra Appl, 2001, 322 : 141-167.
  • 8GU C Q. A practical two-dimensional thiele-type matrix Pad approximation [ J ]. IEEE Trans Automat Control, 2003, 48:2259-2263.
  • 9SIDI A. A new approach to vector-valued rational interpolation [ J ]. Journal of Approximation Theory, 2004, 130(2) :179-189.
  • 10SIDI A. Rational approximations from power series of vector-valued meromorphic functions [ J ]. Journal of Approximation Theory, 1994, 77( 1 ) :89-111.

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