A COMBINATORIAL CONVERSE TO THE PERRON-FROBENIUS THEOREM

被引：12

作者：

ESCHENBACH, CA ^{[1
]}

JOHNSON, CR ^{[1
]}

机构：

[1] COLL WILLIAM & MARY,DEPT MATH,WILLIAMSBURG,VA 23185

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1990年 / 136卷

关键词：

D O I：

10.1016/0024-3795(90)90026-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A sign pattern requires (allows) the Perron property if every (some) matrix with that sign pattern has its special radius among its eigenvalues. We characterize those sign patterns that require the Perron property, which, in a sense, provides a converse to the classical Perron-Frobenius theorem. Also, a large class of patterns that allow the Perron property is identified, but a complete characterization remains an open problem. © 1990.

引用

页码：173 / 180

页数：8