Comments on "A Simple and Accurate Algorithm for Barycentric Rational Interpolation"

被引:1
|
作者
Ma, Chingwo
机构
关键词
barycentric rational interpolation; Grobner basis; KEY-EQUATION;
D O I
10.1109/LSP.2009.2032494
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
For original paper see L. Knockaert , ibid., vol.15, p.154-7, (2008). It is pointed out that the null space of Lowner matrices for the Barycentric rational interpolation can also be solved by an algebraic algorithm based on the Grobner basis theory. This algorithm is known for solving minimal rational interpolation problems in the context of system and coding theory.
引用
收藏
页码:111 / 111
页数:1
相关论文
共 50 条
  • [21] Barycentric rational interpolation at quasi-equidistant nodes
    Hormann, Kai
    Klein, Georges
    De Marchi, Stefano
    [J]. DOLOMITES RESEARCH NOTES ON APPROXIMATION, 2012, 5 : 1 - 6
  • [22] Matrices for the direct determination of the barycentric weights of rational interpolation
    Berrut, JP
    Mittelmann, HD
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 78 (02) : 355 - 370
  • [23] On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
    Len Bos
    Stefano De Marchi
    Kai Hormann
    Georges Klein
    [J]. Numerische Mathematik, 2012, 121 : 461 - 471
  • [24] Convergence rates of a family of barycentric osculatory rational interpolation
    Ke Jing
    Ning Kang
    Gongqin Zhu
    [J]. Journal of Applied Mathematics and Computing, 2017, 53 : 169 - 181
  • [25] Barycentric-thiele type blending rational interpolation
    Jiang, Ping
    Shi, Manhong
    [J]. Journal of Information and Computational Science, 2015, 12 (05): : 1731 - 1738
  • [26] A periodic map for linear barycentric rational trigonometric interpolation
    Berrut, Jean-Paul
    Elefante, Giacomo
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2020, 371
  • [27] Barycentric rational interpolation method for solving KPP equation
    Li, Jin
    Cheng, Yongling
    [J]. ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (05): : 3014 - 3029
  • [28] CONVERGENCE OF LINEAR BARYCENTRIC RATIONAL INTERPOLATION FOR ANALYTIC FUNCTIONS
    Guettel, Stefan
    Klein, Georges
    [J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2012, 50 (05) : 2560 - 2580
  • [29] Convergence rates of a family of barycentric osculatory rational interpolation
    Jing, Ke
    Kang, Ning
    Zhu, Gongqin
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 53 (1-2) : 169 - 181
  • [30] Barycentric rational interpolation with no poles and high rates of approximation
    Floater, Michael S.
    Hormann, Kai
    [J]. NUMERISCHE MATHEMATIK, 2007, 107 (02) : 315 - 331