A DECREASING SEQUENCE OF UPPER-BOUNDS FOR THE PERRON ROOT

被引：5

作者：

ROJO, O

JIMENEZ, R

机构：

[1] Department of Mathematics Universidad Católica del Norte Casilla 1280, Antofagasta

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1994年 / 28卷 / 08期

关键词：

PERRON ROOT; NONNEGATIVE MATRIX; SPECTRAL RADIUS;

D O I：

10.1016/0898-1221(94)00166-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a decreasing sequence of upper bounds for the Perron root of a nonnegative matrix. These upper bounds are new and readily computable. For any nonnegative matrix with zero trace, the mentioned sequence converges to the Perron root. We apply these results to the adjacency matrix of a graph.

引用

页码：9 / 15

页数：7

共 8 条

[1]

CVETKOVIC D, 1990, LINEAR MULTILINEAR A, V28, P3, DOI DOI 10.1080/03081089008818026

[2] LOWER BOUNDS FOR THE PERRON ROOT OF A NONNEGATIVE MATRIX [J].