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

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.