新矩阵法化简中心-焦点型齐四次系统  

A New Algorithm of Matrix Simplification Center: A Fourth-Order Homogeneous System of Focus Type

作　　者：迟晓恒[1] 万维明[1] 

机构地区：[1]大连交通大学数理系,辽宁大连116028

出　　处：《大连铁道学院学报》2005年第2期13-15,共3页Journal of Dalian Railway Institute

摘　　要：定义新的矩阵运算方法,采用可逆实对称矩阵变换,将微分方程中的中心-焦点型齐四次系统化简,使之最多含有9个参数.这种矩阵方法方便实用,它将某种二元多项式系统用矩阵系统表示,使系统易于进行线性变换,为计算该系统的焦点量上界问题做准备.A new matrix algorithm is defined. The algorithm simplifies the fourth order homogeneous system of a center-focus type to a system concluding less than 9 parameters by using the real invertible symmetric matrix transformation. This new algorithm is quite applicable and uses the matrix system to express the polynomial of a 2-variable system which can be applied easyly in linear transformation. For the preparation of calculating focus upper bound problem of this system.

关 键 词：中心 焦点 矩阵 

分 类 号：O241.6[理学—计算数学]