基于幂法的求实对称矩阵特征值的注记

Note on Eigenvalues of Real Symmetric Matrices Based on Power Method

利用幂法思想给出了求实对称矩阵全部特征值的算法,并通过对矩阵特征值为单根、重根和互为相反数三种类型进行实例验证,结果表明用幂法求实对称矩阵全部特征值是可行的.

An algorithm for finding all eigenvalues of the real symmetric matrix is given by using the idea of power method.And three types of eigenvalues of the real symmetric matrix namely single root,multiple roots,and opposite in value are verified by examples.The results show that it is feasible to find all eigenvalues of the real symmetric matrix by power method.