求n阶实方阵A的全部模最大的特征值及其相应特征向量的幂法

Power Method In Evaluating All The MaximumModulus Eigenvalues And their AssociatedEigenvectors of Square Matrix

本文给出并论证了当n阶实方阵A具有i(1≤i≤n)个(即任意多个)模最大的特征值时,用幂法求出这些模最大的特征值及其相应特征向量的方法.该方法是对幂法理论的进一步完善.

:This paper gives and proves,when a n-order real matrix has any eigenvalues of themaximum modulus,the power method which can be used to evaluate all the maximum modu-lus eigenvalues and their associated eigenvectors. This method has improved the powermethod theory.