Upper and lower bounds for the Perron root of a nonnegative matrix

被引：8

作者：

Melman, A. ^{[1
]}

机构：

[1] Santa Clara Univ, Sch Engn, Dept Appl Math, Santa Clara, CA 95053 USA

来源：

LINEAR & MULTILINEAR ALGEBRA | 2013年 / 61卷 / 02期

关键词：

nonnegative matrix; Perron root; bounds; Gershgorin; sparse matrix; ZEROS;

D O I：

10.1080/03081087.2012.667096

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive upper and lower bounds for the Perron root of a nonnegative matrix by using generalized Gershgorin inclusion regions. Our bounds seem particularly effective for certain sparse matrices.

引用

页码：171 / 181

页数：11

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