Interpolation with symmetric polynomials

被引：3
|
作者：
Carnicer, J. M. [1 ]
Godes, C. [2 ]
机构：
[1] Univ Zaragoza, Dept Matemat Aplicada IUMA, Pedro Cerbuna 12, E-50009 Zaragoza, Spain
[2] Univ Zaragoza, Dept Matemat Aplicada, Carretera Cuarte S-N, Huesca 22071, Spain
来源：
NUMERICAL ALGORITHMS | 2017年 / 74卷 / 01期
关键词：
Bivariate polynomial interpolation; Lagrange interpolation; Berzolari-Radon sets; DISCRETE FOURIER-ANALYSIS; LAGRANGE; RK;
D O I：
10.1007/s11075-016-0135-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Lagrange interpolation problem on spaces of symmetric bivariate polynomials is considered to reduce the interpolation problem to problems of approximately half dimension. The Berzolari-Radon construction is adapted to these kinds of problems by considering nodes placed on symmetric lines or symmetric pairs of lines. A Newton formula for the symmetric interpolant using the Berzolari-Radon construction is proposed.
引用
收藏
页码：1 / 18
页数：18
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