非负矩阵最大特征值的拟幂型算法  

Diagonal similarity algorithm for computing largest eigenvalue of nonnegative matrix

作　　者：王信存[1] 吕洪斌[2] WANG Xin-cun;LYU Hong-bin(Teachers College,Eastern Liaoning University,Dandong 118003,China;School of Mathematics and Statistics,Beihua University,Jilin 132013,China)

机构地区：[1]辽东学院师范学院,辽宁丹东118003 [2]北华大学数学与统计学院,吉林吉林132013

出　　处：《东北师大学报（自然科学版）》2022年第4期6-11,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：辽宁省自然科学基金资助项目(20180550758);吉林省科技发展计划项目(20190201139JC).

摘　　要：给出了一个计算不可约非负矩阵谱半径的拟幂型算法,在算法的每步迭代中引入一个适当的变参数,与幂型算法比较不但适用范围更广,在基本不增加计算量的情况下提高了计算的稳定性和效率.A quasi-power algorithm for the spectral radius of the irreducible nonnegative matrix is given,and an appropriate variable parameter is introduced in each iteration.Compared with the power algorithm,it not only has a wider application range,but also improves the efficiency of convergence without increasing the amount of calculation.

关 键 词：不可约非负矩阵 最大特征值 拟幂型算法 

分 类 号：O151.21[理学—数学]