Perron-Frobenius theorem for matrices with some negative entries

Authors
Tarazaga, P Raydan, M Hurman, A
Citation
P. Tarazaga et al., Perron-Frobenius theorem for matrices with some negative entries, LIN ALG APP, 328(1-3), 2001, pp. 57-68
Citations number
5
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
328
Issue
1-3
Year of publication
2001
Pages
57 - 68
Database
ISI
SICI code
0024-3795(20010501)328:1-3<57:PTFMWS>2.0.ZU;2-6
Abstract
We extend the classical Penon-Frobenius theorem to matrices with some negat ive 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 w ith ee(t) that guarantees this property. (C) 2001 Elsevier Science Inc. All rights reserved.