| 具有长方系数矩阵的微分代数方程组数值解的渐近稳定性 |
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| 引用本文： | 孙乐平.具有长方系数矩阵的微分代数方程组数值解的渐近稳定性[J].上海师范大学学报(自然科学版),2021,50(3):280-290. |
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| 作者姓名： | 孙乐平 |
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| 作者单位： | 上海师范大学 数理学院, 上海 200234 |
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| 基金项目： | The Scientific Computing Key Laboratory of Shanghai Normal University and the Shanghai Natural Science Foundation (15ZR1431200) |
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| 摘 要： | 研究了具有长方系数矩阵的微分代数方程组的数组稳定性.利用克罗尼克标准型将原系统等价转化，获得了线性多步法和龙格-库塔法求解系统时的渐近稳定性结果.
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| 关 键 词： | 长方系数矩阵 微分代数方程 渐近稳定 矩阵束 克罗尼克标准型 |
| 收稿时间： | 2020/9/26 0:00:00 |
Asymptotic stability of linear multistep methods and Runge-Kutta methods for homogeneous differential-algebraic equations with rectangular coefficients |
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| SUN Leping.Asymptotic stability of linear multistep methods and Runge-Kutta methods for homogeneous differential-algebraic equations with rectangular coefficients[J].Journal of Shanghai Normal University(Natural Sciences),2021,50(3):280-290. |
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| Authors: | SUN Leping |
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| Institution: | Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China |
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| Abstract: | This paper is concerned with the asymptotic stability of numerical methods applied to linear differential-algebraic equations. The coefficient matrices of the system are constant rectangular matrices. We consider linear multistep methods and Runge-Kutta methods applied to the system. The stability results are established under Kronecker canonical form of the original system. |
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| Keywords: | rectangular coefficient matrix differential-algebraic equations asymptotic stability pencil Kronecker canonical form |
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