Birkhoff interpolation on non-uniformly distributed roots of unity

被引：0

作者：

Marcel G. de Bruin

A. Sharma

机构：

[1] Delft University of Technology,Department of Applied Mathematical Analysis

[2] University of Alberta,Department of Mathematical Sciences

来源：

Numerical Algorithms | 2000年 / 25卷

关键词：

Birkhoff interpolation; non-uniformly distibuted nodes; roots of unity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper studies some cases of (0,m)-interpolation on non-uniformly distributed roots of unity that were not covered before. The interpolation problem uses as nodes the zeros of (zk+1)(z3−1) with k=3n+1, 3n+2. Proof of the regularity is more intricate than when k is divisible by 3, the case included in a previous paper by the authors. The interpolation problem appears to be regular for m≤k+3, a result that is in tune with the case k=3n mentioned before. However, it is necessary to treat the full general 18×18 linear system. For small values of m the determinant is calculated explicitly using MAPLE V, Release 5.

引用

页码：123 / 138

页数：15

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