| Drazin逆在带奇异系数的齐次线性微分系统中的应用 |
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| 引用本文： | 李勇,孙乐平.Drazin逆在带奇异系数的齐次线性微分系统中的应用[J].上海师范大学学报(自然科学版),2008,37(3):257-264. |
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| 作者姓名： | 李勇 孙乐平 |
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| 作者单位： | 上海师范大学数理信息学院,上海,200234 |
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| 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。
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| 关 键 词： | 差分方程 Drazin逆 奇异微分系统 矩阵的指标 |
Applications of the Drazin inverse to homogeneous linear systems of differential equations with singular coefficients |
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| LI Yong,SUN Le-ping.Applications of the Drazin inverse to homogeneous linear systems of differential equations with singular coefficients[J].Journal of Shanghai Normal University(Natural Sciences),2008,37(3):257-264. |
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| Authors: | LI Yong SUN Le-ping |
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| Institution: | (College of Mathematics and Sciences, Shanghai Normal University, Shanghai 200234, China) |
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| Abstract: | We first develop the applications of the Drazin inverse to singular difference equations. Then we applythe results to numerical methods such as the Euler, Runge - Kutta methods and solve singular systems of linear differ-ential equations. Finally, numerical experiments are shown with error estimations. |
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| Keywords: | difference equations Drazin inverse singular system of differential equations index of a matrix |
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