基于幂函数非负矩阵最大特征根的算法

摘要

应用矩阵的对角相似变换,给出一种基于幂函数的不可约非负矩阵最大特征根和对应的特征向量的数值算法,并用数值实例说明了算法的可行性及参数对收敛的影响.%Using diagonal similarity transformation of a matrix,we gave a numerical algorithm for the maximum eigenvalue and the corresponding eigenvector based on irreducible nonnegative matrix of power function,and the numerical examples show the feasibility of the algorithm and the influence of parameters on the convergence.