摘要
以常系数齐次线性微分方程组x’=Ax的基解矩阵expAt的计算为应用背景,运用线性代数中矩阵的对角化方法,将可对角化的矩阵A对角化,再计算矩阵指数expA,从而为基解矩阵expAt的计算提供更有针对性的方法.
Based on the the application of matrix exponentexpAtin homogeneous linear ordinary differential equations with constant coefficients such as x＇=Axand diagonalization method for a diagonalizable metrix A in linear algebra is applied to calculate expA,which provides a kind of technique more targeted for the calculation of expAt.
出处
《湘南学院学报》
2012年第2期61-63,共3页
Journal of Xiangnan University
基金
南华大学教改课题(2011XJG015)
关键词
可对角化矩阵
矩阵指数
常系数齐次线性微分方程组
基解矩阵
diagonalizable matrix
matrix exponent
homogeneous linear ordinary differential equations with constant coefficients
fundamental solution matrix
