A new method for the construction of multivariate minimal interpolation polynomial
type: Item
instance of: scholarly article
zbMATH Open document ID: 1001.41005
DOI: 10.1023/A:1015575511373
author: Chuanlin Zhang
publication date: 2002-12-17T00:00:00Z
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 1649009
zbMATH Keywords: extended Hermite interpolation
zbMATH Keywords: minimal multivariate
zbMATH Keywords: interpolation polynomial
MaRDI profile type: Publication
published in: Approximation Theory and its Applications
title: A new method for the construction of multivariate minimal interpolation polynomial
review text: The interpolation is called extended Hermite interpolation problem when the interpolation conditions involve a linear combination of the values of the function and its derivatives at several points. A new method to construct minimal multivariate polynomials which satisfy the interpolation conditions is proposed. The proof is based on an algorithm to computers the Gröbner basis of the ideal.
reviewed by: O. I. Kuznetsova
description: scientific article; zbMATH DE number 1649009