摘要
非负矩阵谱半径的估计是非负矩阵理论研究中的重要课题.如果谱半径的上下界能够表示为非负矩阵元素的易于计算的函数,那么这种估计价值更高.通过构造两个收敛的序列得到非负矩阵谱半径的新界值.数值算例表明其结果比有关结论更加精确.
Estimation the bounds for the spectral radius of nonnegative matrices is important part in the theory of nonnegative matrices. It is more practical value when the bounds are expressed easily calculated function in element of matrix. New bounds for the spectral radius of nonnegative matrices were obtained by constructing two convergent sequences. Numerical example is given to illustrate the effectiveness by comparing with the relevant conclusions.
作者
钟琴
Zhong Qin(Department of Mathematics, Sichuan University Jinjiang College, Pengshan 620860, Chin)
出处
《纯粹数学与应用数学》
2017年第2期134-140,共7页
Pure and Applied Mathematics
基金
四川省教育厅科研项目(13ZB0357)
四川大学锦江学院青年教师科研基金(12130219)
关键词
非负矩阵
谱半径
上界
下界
nonnegative matrices, spectral radius, upper bounds, lower bounds
