Localization of Perron roots
Localization of Perron roots
复制标题
DOI：
10.1016/j.laa.2004.06.016
复制
发表时间：
2004-11
影响因子：
1.1
通讯作者：
Linzhang Lu;M. Ng
中科院分区：
文献类型：
--
作者：
Linzhang Lu;M. Ng
本文关注非负不可约矩阵 A 的 Perron 根的定位。提出了一种新的定位方法，该方法利用非负矩阵的 Perron 根与其广义 Perron 补的行和估计之间的关系。该方法非常有效，因为它仅通过计算广义 Perron 补集的行和的估计值而不是广义 Perron 补集本身来给出 ρ(A) 的界限。给出了几个数值例子来说明我们方法的有效性。
This paper is concerned with the localization of the Perron root of a nonnegative irreducible matrix A. A new localization method that utilizes the relationship between the Perron root of a nonnegative matrix and the estimates of the row sums of its generalized Perron complement is presented. The method is efficient because it gives the bounds on ρ(A) only by computing the estimates of the row sums of the generalized Perron complement rather than the generalized Perron complement itself. Several numerical examples are given to illustrate the effectiveness of our method.