“…By solving this polynomial equation, all configurations of the Stewart platform can be found and singularities can be identified. The numerical method includes direct numerical iterations which basically solve the constraint equations by iterative root finders or optimization techniques (Arshad et al , 2005; Li and Yan, 2007; Wang, 2007; Parikh and Lam, 2005; Ren et al , 2006), continuation method (Mu and Kazerounian, 2002; Dong and Zhang, 2001; Chen and Yan, 1997; Liu and Yang, 1996), neural networks (Parikh and Lam, 2008; Durali and Shameli, 2004; Sadjadian and Taghirid, 2005; Yurt et al , 2007), genetic algorithm (GA) (Liu et al , 2006), and interval analysis (Merlet, 2004; Shen and Wu, 2004). Each of these methods has advantages and limitations compared with the others.…”