Triangularizing kinematic constraint equations using Gröbner bases for real-time dynamic simulation (Q632158)

The authors use a polynomial reduction method, known as ''Gröbner basis,'' to iteratively solve nonlinear algebraic constraint equations occurring in analyses of mechanical systems -- such as ''operator in the loop'' applications. The proposed procedure is an innovative approach to obtaining real-time numerical solutions to differential-algebraic equations commonly occurring in constrained multibody system analyses. This is potentially a very useful paper for obtaining efficient numerical analyses. The paper could also have application beyond the analysis of mechanical systems. It could therefore be of interest and use to theoreticians.