DUALITY IN PADE-TYPE APPROXIMATION

被引：3
|
作者：
BREZINSKI, C [1 ]
机构：
[1] UNIV LILLE 1,ANAL NUMER & OPTIMISAT,F-59655 VILLENEUVE DASCQ,FRANCE
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1990年 / 30卷 / 03期
关键词：
Padé; approximation; rational approximation; series;
D O I：
10.1016/0377-0427(90)90285-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Padé and Padé-type approximants are usually defined by replacing the function (1 - xt)-1 by its Hermite (that is confluent) interpolation polynomial and then applying the functional c defined by c(xi) = ci where the ci's are the coefficients of the series to be approximated. In this paper the functional d which, applied to (1 - xt)-1, gives the same Padé or Padé-type approximant as before is studied. It can be considered as the dual of the interpolation operator applied to the functional c. © 1990.
引用
收藏
页码：351 / 357
页数：7
相关论文
共 50 条
  • [31] ON THE CONVERGENCE OF PADE-TYPE APPROXIMANTS IN TWO VARIABLES
    朱功勤
    朱晓临
    NumericalMathematicsAJournalofChineseUniversities(EnglishSeries), 1993, (02) : 148 - 153
  • [32] A Combined Function-valued Pade-type Approximation Using for Solution of Integral Equations
    Li, Chunjing
    Wu, Mangmang
    Wang, Minsi
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 2, 2009, : 1 - 4
  • [33] Multivariate rectangular matrix Pade-type approximants
    Zheng, Cheng-de
    Li, Zhi-bin
    Zhang, Xiao-jun
    Advances in Matrix Theory and Applications, 2006, : 198 - 201
  • [34] PADE-TYPE APPROXIMANTS AND LINEAR FUNCTIONAL TRANSFORMATIONS
    BREZINSKI, C
    VANISEGHEM, J
    LECTURE NOTES IN MATHEMATICS, 1984, 1105 : 100 - 108
  • [35] LAPLACE TRANSFORM INVERSION AND PADE-TYPE APPROXIMANTS
    VANISEGHEM, J
    APPLIED NUMERICAL MATHEMATICS, 1987, 3 (06) : 529 - 538
  • [36] Pade-type approximants for generalized Euler transforms
    Sablonniere, P.
    NUMERICAL ALGORITHMS, 2014, 66 (02) : 339 - 347
  • [37] Generalized multivariate rectangular matrix Pade-type approximants and Pade approximants
    Zheng, Chengde
    Li, Zhibin
    DCABES 2006 PROCEEDINGS, VOLS 1 AND 2, 2006, : 7 - 12
  • [38] PADE-TYPE APPROXIMANTS WITH ORTHOGONAL GENERATING POLYNOMIALS
    PREVOST, M
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1983, 9 (04) : 333 - 346
  • [39] On a new family of Pade-type approximants in multivariables
    Zheng, CD
    Wang, RH
    PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 2002, : 1321 - 1323
  • [40] A New Approach to Matrix Pade-type Approximant
    Zhao, Chunxia
    Gu, Chuanqing
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 3, 2009, : 290 - 293
12345