Perron-Frobenius theorem for matrices with some negative entries

被引：37
|
作者：
Tarazaga, P
Raydan, M
Hurman, A
机构：
[1] Univ Puerto Rico, Dept Math, Mayaguez, PR 00681 USA
[2] Cent Univ Venezuela, Fac Ciencias, Dpto Computac, Caracas 1041A, Venezuela
[3] Univ Nacl Cuyo, Fac Ingn, RA-5500 Mendoza, Argentina
[4] Univ Nacl Cuyo, Fac Ciencias Econ, RA-5500 Mendoza, Argentina
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 328卷 / 1-3期
基金：
美国国家科学基金会;
关键词：
Perron-Frobenius theorem; cones of matrices; optimality conditions;
D O I：
10.1016/S0024-3795(00)00327-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend the classical Penon-Frobenius theorem to matrices with some negative entries. We study the cone of matrices that has the matrix of 1's (ee(t)) as the central ray, and such that any matrix inside the cone possesses a Perron-Frobenius eigenpair. We also find the maximum angle of any matrix with ee(t) that guarantees this property. (C) 2001 Elsevier Science Inc. All rights reserved.
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页码：57 / 68
页数：12
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