The Application of Wu Elimination Method and Wu Differential Characteristic Set Method to Lagrange System
吴消元法和吴微分特征列法在 Lagrange系统中的应用

In this paper,the polynomial type Lagrange equation of finite dimensional constrained dynamics is considered,and four possibilities of Euler-Lagrange equations possibilities are analysed.Based on Wu elimination method and Wu differential characteristic set method,two algorithms are presented for determining the four possibilities.Using the two algorithms,without calculating the rank of Hessian matrix,which case of the four possibilities of the Euler-Lagrange equations is determined,and the corresponding results are obtained.On the symbolic computation software platform,the two algorithms can be executed in computers.