%0 Journal Article
%T The Application of Wu Elimination Method and Wu Differential Characteristic Set Method to Lagrange System<br>吴消元法和吴微分特征列法在 Lagrange系统中的应用
%A JIA Yi-Feng
%A CHEN Yu-Fu
%A XU Zhi-Qiang
%A <br>贾屹峰
%A 陈玉福
%A 许志强
%J 中国科学院研究生院学报
%D 2006
%I 
%X 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.
%K Lagrange system
%K constraint
%K characteristic set
%K Hessian matrix<br>Lagrange系统
%K 约束
%K 特征列
%K Hessian矩阵
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=B5EDD921F3D863E289B22F36E70174A7007B5F5E43D63598017D41BB67247657&cid=B47B31F6349F979B&jid=67CDFDECD959936E166E0F72DE972847&aid=0B260DBD416E480A&yid=37904DC365DD7266&vid=EA389574707BDED3&iid=B31275AF3241DB2D&sid=569BDAA4FEA0F7F9&eid=4D1A534FF6CD5D9A&journal_id=1002-1175&journal_name=中国科学院研究生院学报&referenced_num=0&reference_num=8