A constrained homotopy technique for excluding unwanted solutions from polynomial equations arising in kinematics problems
type: Item
instance of: scholarly article
title: A constrained homotopy technique for excluding unwanted solutions from polynomial equations arising in kinematics problems
zbMATH Open document ID: 1359.70037
author: Hafez Tari
author: Hai-Jun Su
author: Tien-Yien Li
published in: Mechanism and Machine Theory
publication date: 2010-09-17T00:00:00Z
Mathematics Subject Classification ID: 70B15
Mathematics Subject Classification ID: 65H20
zbMATH DE Number: 5786993
zbMATH Keywords: solving polynomial systems
zbMATH Keywords: homotopy continuation method
zbMATH Keywords: kinematic analysis
zbMATH Keywords: kinematic synthesis
zbMATH Keywords: extraneous solutions
zbMATH Keywords: degenerate solutions
describes a project that uses: HOM4PS
describes a project that uses: PHoM
describes a project that uses: HOMPACK90
describes a project that uses: PHCpack
describes a project that uses: POLSYS_PLP
describes a project that uses: POLSYS_GLP
MaRDI profile type: Publication
full work available at URL: j.mechmachtheory.2010.01.002
OpenAlex ID: W2115628062
cites work: Introduction to Numerical Continuation Methods
cites work: Q4000024
cites work: Q4822034
cites work: The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
cites work: A Polyhedral Method for Solving Sparse Polynomial Systems
cites work: Regeneration homotopies for solving systems of polynomials
cites work: Algorithm 777: HOMPACK90
cites work: Algorithm 801: POLSYS_PLP
cites work: Algorithm 857
cites work: HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method
cites work: PHoM -- a polyhedral homotopy continuation method for polynomial systems
cites work: Q3514371
cites work: Q4717965
cites work: Numerical homotopies to compute generic points on positive dimensional algebraic sets
cites work: Numerical decomposition of the solution sets of polynomial systems into irreducible components
cites work: Algorithm 795
DOI: 10.1016/J.MECHMACHTHEORY.2010.01.002
description: scientific article; zbMATH DE number 5786993