A combined method for enclosing all solutions of nonlinear systems of polynomial equations
type: Item
instance of: scholarly article
title: A combined method for enclosing all solutions of nonlinear systems of polynomial equations
zbMATH Open document ID: 0833.65046
DOI: 10.1007/BF02390521
author: Christine Jäger
author: Dietmar Ratz
published in: Reliable Computing
publication date: 1995-01-01T00:00:00Z
review text: An interval version of Buchberger's algorithm for solving systems of polynomial equations over \(\mathbb{R}\) is described. Some modifications were, however, incorporated in order to avoid a superfluous blowing up of interval coefficients.
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 26C10
Mathematics Subject Classification ID: 12Y05
zbMATH DE Number: 803787
zbMATH Keywords: interval arithmetic
zbMATH Keywords: Buchberger's algorithm
zbMATH Keywords: systems of polynomial equations
reviewed by: H. Ratschek
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02390521
OpenAlex ID: W1535242494
description: scientific article; zbMATH DE number 803787