摘要
通过引进一个参数构造与迭代矩阵的行和相关的正对角矩阵,应用矩阵的正对角相似变换,给出不可约非负矩阵最大特征值与对应特征向量的数值算法,算法中每一步参数的选择灵活性都较大,从而提高了收敛速度.
By introducing aparameter,we constructed a positive diagonal matrix related to the row sum of the iteration matrix.By using the positive diagonal similarity transformation of matrices,we gave a numerical algorithm for computing the maximum eigenvalue and corresponding eigenvectors of irreducible nonnegative matrices.The selection of parameters in each step of the algorithm is flexibe and the convergence speed is improved.
作者
王信存
吕洪斌
商钰莹
WANG Xincun;LV Hongbin;SHANG Yuying(Teachers College,Eastern Liaoning University,Dandong 118003,Liaoning Province,China;School of Mathematics and Statistics,Beihua University,Jilin 132013,Jilin Province,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2019年第6期1351-1356,共6页
Journal of Jilin University:Science Edition
基金
辽宁省自然科学基金(批准号:20180550758)
吉林省科技发展计划项目(批准号:20190201139JC)
关键词
不可约非负矩阵
最大特征值
算法
对角相似变换
irreducible nonnegative matrix
maximum eigenvalue
algorithm
diagonal similarity transformation
