非负矩阵Perron根界的估计  

Estimation of Perron Root of Nonnegative Matrices

作　　者：杨中原[1] 傅英定[1] 韩昊[1] 黄廷祝[1] 

机构地区：[1]电子科技大学应用数学学院,成都610054

出　　处：《电子科技大学学报》2007年第S1期420-421,433,共3页Journal of University of Electronic Science and Technology of China

摘　　要：应用A^2的perron根与非负矩阵A的perron根的关系,借助已有的结果,得到了A^2的perron根的上下界的估计.给出了非负矩阵A的perron根的更优的上下界.通过该方法可以将一类非正矩阵A转化为正矩阵A^2,因而可以对正矩阵A^2利用Brauer不等式来估计出A的perron根,并用数值例子说明了通过该方法所得结果的优越性.In this paper,the good bounds of perrron root of nonnegative matrix are formed by using the relation of the perron root of A^2 and the pert'on root of A.For a nor,negative matrix that satisfies some conditions,we get the perron root of A^2 then the shaper upper and lower bounds of perron root of the matrix.The perron root of nounegative matrix is then solved by using the Brauer inequality.Some examples are given to show that the new estimation method is effective.

关 键 词：估计 非负(正)矩阵 PERRON根 

分 类 号：O151.21[理学—数学]