| x'=Ax新解法与Matlab实现 |
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| 引用本文： | 钟益林,于跃华.x'=Ax新解法与Matlab实现[J].湖南文理学院学报(自然科学版),2006,18(1):4-6,9. |
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| 作者姓名： | 钟益林 于跃华 |
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| 作者单位： | 湖南文理学院,数学系,湖南,常德,415000;湖南文理学院,数学系,湖南,常德,415000 |
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| 摘 要： | 介绍了方程x'=Ax的B.VAN ROOTSELAAR一种新解法,分析了它的优越性,对其求矩阵F(0)作了改进并补充了求出实矩阵的方法.在计算机上用完全开放性的Matlab语言程序实现了这种方法的应用.实例表明新的解法在速度上要较以往其它解法有很大提高.
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| 关 键 词： | 向量微分方程 特征方程 基解矩阵 Wronskian矩阵 Matlab语言 M文件 |
| 文章编号： | 1672-6146（2006）01-0004-03 |
| 收稿时间： | 2005-10-20 |
| 修稿时间： | 2005年10月20日 |
A New Method to Solve System x' = Ax and its Actualization by Matlab |
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| ZHONG Yi-lin,YU Yue-hua.A New Method to Solve System x' = Ax and its Actualization by Matlab[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2006,18(1):4-6,9. |
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| Authors: | ZHONG Yi-lin YU Yue-hua |
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| Abstract: | In this paper a new method to solve system x' = Ax of B.VAN ROOTSELAAR is introduced and its advantage is analyzed.The method to find the matrix F(0) is ameliorated and it is supplemented to find real matrix of F(0).By means of the complete current program of Matlab language we realized applications of this method in the calculator.Actual examples indicate that the new solution great faster than other one ago for calculate speed. |
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| Keywords: | vector differential equations characteristic equation fundamental matrix Wronskian matrix Matlab language M-file |
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