A constrained homotopy technique for excluding unwanted solutions from polynomial equations arising in kinematics problems

DOI10.1016/j.mechmachtheory.2010.01.002zbMath1359.70037OpenAlexW2115628062MaRDI QIDQ994151

Tien-Yien Li, Hafez Tari, Hai-Jun Su

Publication date: 17 September 2010

Published in: Mechanism and Machine Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mechmachtheory.2010.01.002

zbMATH Keywords

homotopy continuation methoddegenerate solutionskinematic analysissolving polynomial systemskinematic synthesisextraneous solutions

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items (6)

Nonlinear dynamic analysis of an elastically restrained cantilever tapered beam ⋮ A complex solution framework for the kinetostatic synthesis of a compliant four-bar mechanism ⋮ Globally convergent nonlinear 3D inverse model for smart materials with Hessian-based optimization ⋮ Numerical algebraic geometry and algebraic kinematics ⋮ Developments in quantitative dimensional synthesis (1970–present): four-bar path and function generation ⋮ Probabilistic Saturations and Alt’s Problem

Uses Software

• HOM4PS
• HOMPACK90
• PHCpack
• POLSYS_PLP
• PHoM
• POLSYS_GLP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method
• Numerical homotopies to compute generic points on positive dimensional algebraic sets
• PHoM -- a polyhedral homotopy continuation method for polynomial systems
• Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components
• Regeneration homotopies for solving systems of polynomials
• Algorithm 857
• Algorithm 777: HOMPACK90
• Algorithm 801: POLSYS_PLP
• Introduction to Numerical Continuation Methods
• Algorithm 795
• A Polyhedral Method for Solving Sparse Polynomial Systems
• The Numerical Solution of Systems of Polynomials Arising in Engineering and Science

This page was built for publication: A constrained homotopy technique for excluding unwanted solutions from polynomial equations arising in kinematics problems