计算机应用与软件
計算機應用與軟件
계산궤응용여연건
COMPUTER APPLICATIONS AND SOFTWARE
2014年
2期
293-295,333
,共4页
初等相似变换%广义特征向量%Jordan标准形%迭代算法
初等相似變換%廣義特徵嚮量%Jordan標準形%迭代算法
초등상사변환%엄의특정향량%Jordan표준형%질대산법
Elementary similarity transformation%Generalised eigenvector%Jordan standard form%Iterative algorithm
提出初等相似变换的概念，探讨如何利用初等变换法求一个方阵的广义特征向量的方法。进一步将该方法用迭代算法来书写，这就为用Matlab编程求解矩阵的广义特征向量提供了条件。通过对两个矩阵的实例计算验证了该迭代方法能够较好地求解一般方阵的广义特征向量，比用通常的解线性方程组的方法要简单得多，且更易在计算机上用Matlab编程实现。
提齣初等相似變換的概唸，探討如何利用初等變換法求一箇方陣的廣義特徵嚮量的方法。進一步將該方法用迭代算法來書寫，這就為用Matlab編程求解矩陣的廣義特徵嚮量提供瞭條件。通過對兩箇矩陣的實例計算驗證瞭該迭代方法能夠較好地求解一般方陣的廣義特徵嚮量，比用通常的解線性方程組的方法要簡單得多，且更易在計算機上用Matlab編程實現。
제출초등상사변환적개념，탐토여하이용초등변환법구일개방진적엄의특정향량적방법。진일보장해방법용질대산법래서사，저취위용Matlab편정구해구진적엄의특정향량제공료조건。통과대량개구진적실례계산험증료해질대방법능구교호지구해일반방진적엄의특정향량，비용통상적해선성방정조적방법요간단득다，차경역재계산궤상용Matlab편정실현。
We put forward the concept of elementary similarity transformation in the paper,and discuss the method of how to use the elementary transformation to solve the generalised eigenvectors of a square matrix.Furthermore,we write this method in iteration algorithm, which provides the condition to solving the generalised eigenvectors of the square matrix with Matlab programming.Through computing the examples of two square matrixes it verifies that the iterative method can well solve the generalised eigenvectors of genetic square matrix.It is much simpler compared with usual method of leaner equation group solutions,and is easier to be implemented by Matlab programming in computer.
