H-bases for polynomial interpolation and system solving
type: Item
instance of: scholarly article
title: H-bases for polynomial interpolation and system solving
zbMATH Open document ID: 0943.65059
DOI: 10.1023/A:1018937723499
author: Tomas Sauer
author: Hans-Michael Möller
published in: Advances in Computational Mathematics
publication date: 2000-03-21T00:00:00Z
review text: The authors compare the H-basis concept and the Gröbner basis concept. They present H-bases constructions and discuss their properties and some applications of the H-basis to the solution of polynomial systems. The last two sections are dedicated to computing polynomial zeros by eigenvectors and multivariate polynomial interpolation.
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 13P10
Mathematics Subject Classification ID: 12Y05
Mathematics Subject Classification ID: 30C15
Mathematics Subject Classification ID: 26C10
zbMATH DE Number: 1419513
zbMATH Keywords: ideal bases
zbMATH Keywords: Gröbner bases
zbMATH Keywords: multivariate polynomials
zbMATH Keywords: interpolation
zbMATH Keywords: systems of polynomial equations
zbMATH Keywords: H-bases concept
zbMATH Keywords: polynomial zeros
zbMATH Keywords: eigenvectors
MaRDI profile type: Publication
full work available at URL: a:1018937723499
OpenAlex ID: W1571225315
description: scientific article; zbMATH DE number 1419513