Drazin逆在带奇异系数的齐次线性微分系统中的应用(英文)  

Applications of the Drazin inverse to homogeneous linear systems of differential equations with singular coefficients

作　　者：李勇[1] 孙乐平[1] 

机构地区：[1]上海师范大学数理信息学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2008年第3期257-264,共8页Journal of Shanghai Normal University(Natural Sciences)

基　　金：the Shanghai Leading Academic Discipline Project and Project(T0401);Shanghai Municipal Education Commission(06D2001)

摘　　要：首先讨论了Drazin逆在带奇异差分方程中的一些应用,然后将所得到的结果运用到Euler和Runge-Kutta等数值方法去求解奇异微分系统,最后给出了一些数值实验并对误差进行了估计.We first develop the applications of the Drazin inverse to singular difference equations. Then we apply the results to numerical methods such as the Euler, Runge - Kutta methods and solve singular systems of linear differential equations. Finally, numerical experiments are shown with error estimations.

关 键 词：差分方程 DRAZIN逆 奇异微分系统 矩阵的指标 

分 类 号：O241.81[理学—计算数学]