Complete numerical isolation of real roots in zero-dimensional triangular systems
type: Item
instance of: scholarly article
title: Complete numerical isolation of real roots in zero-dimensional triangular systems
zbMATH Open document ID: 1169.13017
author: Chee K. Yap
author: Jin-San Cheng
author: Xiao-Shan Gao
published in: Journal of Symbolic Computation
publication date: 2009-06-18T00:00:00Z
Mathematics Subject Classification ID: 13P10
Mathematics Subject Classification ID: 12Y05
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 5566486
zbMATH Keywords: triangular system
zbMATH Keywords: real zero isolation
zbMATH Keywords: sleeve bound
zbMATH Keywords: evaluation bound
describes a project that uses: ISOLATE
MaRDI profile type: Publication
full work available at URL: j.jsc.2008.04.017
OpenAlex ID: W1964839258
cites work: The Method of Resultants for Computing Real Solutions of Polynomial Systems
cites work: Cylindrical Algebraic Decomposition I: The Basic Algorithm
cites work: On the theories of triangular sets
cites work: Fast Multiple-Precision Evaluation of Elementary Functions
cites work: Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
cites work: Mathematics of Surfaces XI
cites work: Q5301656
cites work: Interval arithmetic in cylindrical algebraic decomposition
cites work: Computer Algebra in Scientific Computing
cites work: Safe starting regions by fixed points and tightening
cites work: Solving zero-dimensional algebraic systems
cites work: Computing the isolated roots by matrix methods
cites work: Solving zero-dimensional systems through the rational univariate representation
cites work: Efficient isolation of polynomial's real roots.
cites work: Zero decomposition algorithms for systems of polynomial equations
cites work: Q2716051
cites work: An algorithm for isolating the real solutions of semi-algebraic systems
cites work: Real solution isolation using interval arithmetic
cites work: Q4953977
cites work: Q5718722
cites work: Q3601542
DOI: 10.1016/J.JSC.2008.04.017
description: scientific article; zbMATH DE number 5566486