| 可对角化矩阵的矩阵指数计算 |
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| 引用本文： | 王会兰,谭琼华,谭良.可对角化矩阵的矩阵指数计算[J].湘南学院学报,2012(2):61-63. |
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| 作者姓名： | 王会兰 谭琼华 谭良 |
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| 作者单位： | 南华大学数理学院 |
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| 基金项目： | 南华大学教改课题(2011XJG015) |
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| 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.
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| 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 |
Calculation on Matrix Exponent of Diagonalizable Matrix |
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| Wang Huilan,Tan Qionghua,Tan Liang.Calculation on Matrix Exponent of Diagonalizable Matrix[J].Journal of Xiangnan University,2012(2):61-63. |
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| Authors: | Wang Huilan Tan Qionghua Tan Liang |
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| Institution: | (School of Mathematics and Physics,University of South China,Hengyang 421001,China) |
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| Abstract: | 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. |
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| Keywords: | diagonalizable matrix matrix exponent homogeneous linear ordinary differential equations with constant coefficients fundamental solution matrix |
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