摘要
用矩阵的对角相似变换和Perron-Frobenius定理,给出了不可约非负矩阵谱半径的简单数值算法,该算法类似于求矩阵按模最大特征值的经典算法——幂法,适用于任何不可约非负矩阵,并且通过适当选择参数,算法具有简单、快速的特点.
A simple numerical algorithm on the spectral radius of irreducibly nonnegative matrix is given with the matrix diagonally similar change and Perron-Frobenius Theorem. The algorithm is similar to a classical one-power method to calculate the largest matrix eigenvalue by module, which can be applied to any irreducibly nonnegative matrix, and will be quick and easy by choosing parameters properly.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2008年第1期6-12,共7页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:10471055)
关键词
不可约非负矩阵
谱半径
算法
对角相似变换
irreducibly nonnegative matrix
spectral radius
algorithm
diagonally similar change
