On solving parametric polynomial systems
type: Item
instance of: scholarly article
title: On solving parametric polynomial systems
zbMATH Open document ID: 1274.13047
author: Marc Moreno Maza
author: Bican Xia
author: Rong Xiao
published in: Mathematics in Computer Science
publication date: 2013-04-25T00:00:00Z
review text: This work intends to cover similar ground and extend the paper [\textit{D. Lazard} and \textit{F. Rouillier}, J. Symb. Comput. 42, No. 6, 636--667 (2007; Zbl 1156.14044)]. Unfortunately the present paper is of questionable quality. The English is at times hard to follow and the paper lacks mathematical substance. Readers interested in the topic should refer to the work of Lazard et al.
reviewed by: Thomas Kahle
Mathematics Subject Classification ID: 13P15
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 6157647
zbMATH Keywords: parametric polynomial system
zbMATH Keywords: discriminant variety
describes a project that uses: DISCOVERER
MaRDI profile type: Publication
full work available at URL: s11786-012-0136-3
OpenAlex ID: W1977906522
cites work: On the theories of triangular sets
cites work: Algorithms in real algebraic geometry
cites work: Triangular decomposition of semi-algebraic systems
cites work: Computing with semi-algebraic sets represented by triangular decomposition
cites work: Comprehensive Triangular Decomposition
cites work: Algorithms for computing triangular decomposition of polynomial systems
cites work: Q4234261
cites work: Q4079605
cites work: Partial cylindrical algebraic decomposition for quantifier elimination
cites work: Q4247790
cites work: Testing sets for properness of polynomial mappings
cites work: A generalized Euclidean algorithm for computing triangular representations of algebraic varieties
cites work: A new method for solving algebraic systems of positive dimension
cites work: Solving parametric polynomial systems
cites work: Minimal canonical comprehensive Gröbner systems
cites work: A new algorithm for discussing Gröbner bases with parameters.
cites work: Computing parametric geometric resolutions
cites work: An effective description of the Jelonek set
cites work: Comprehensive Gröbner bases
cites work: Q4660715
cites work: Q5188278
cites work: Q4946077
DOI: 10.1007/S11786-012-0136-3
description: scientific article; zbMATH DE number 6157647