A method for directly finding the denominator values of rational interpolants

In this paper, we give an algorithm for directly finding the denominator values of rational interpolants at the nodes, and present an expression for the corresponding rational interpolant when the latter exists. With these denominator values, our method also provides information concerning the exist...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational and applied mathematics 2002-11, Vol.148 (2), p.341-348
Main Authors: Zhu, Xiaolin, Zhu, Gongqin
Format: Article
Language:English
Subjects:
Approximations and expansions
Denominator values
Exact sciences and technology
Interpolation
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Rational interpolants
Sciences and techniques of general use
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we give an algorithm for directly finding the denominator values of rational interpolants at the nodes, and present an expression for the corresponding rational interpolant when the latter exists. With these denominator values, our method also provides information concerning the existence of the interpolant and the presence of unattainable points and poles.
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(02)00554-X