PSEUDO-DIVISION ALGORITHM FOR MATRIX MULTIVARIABLE POLYNOMIAL AND ITS APPLICATION  

作　　者：阿拉坦仓 张鸿庆 钟万勰 

出　　处：《Applied Mathematics and Mechanics(English Edition)》2000年第7期733-740,共8页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina !(1 970 2 0 0 7) ;NeiMengguNaturalScienceFoundation!(971 3 0 1_1 )

摘　　要：Pseudo-division algorithm for matrix multivariable polynomial are given, thereby with the view of differential algebra, the sufficient and necessary conditions for transforming a class of partial differential equations into infinite dimensional Hamiltonianian system and its concrete form are obtained. Then by combining this method with Wu's method, a new method of constructing general solution of a class of mechanical equations is got, which several examples show very effective.Pseudo-division algorithm for matrix multivariable polynomial are given, thereby with the view of differential algebra, the sufficient and necessary conditions for transforming a class of partial differential equations into infinite dimensional Hamiltonianian system and its concrete form are obtained. Then by combining this method with Wu's method, a new method of constructing general solution of a class of mechanical equations is got, which several examples show very effective.

关 键 词：matrix multivariable polynomial infinite dimensional Hamiltonianian system Wu's method general solution 

分 类 号：O241.6[理学—计算数学]