Ber-Lin Yu and Jie Cui and Hong Cheng and Zhengfeng Yu
Tree Sign Patterns of Small Order that Allow an Eventually Positive Matrix
263 - 266
2015
9
4
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/10003179
https://publications.waset.org/vol/100
World Academy of Science, Engineering and Technology
A sign pattern is a matrix whose entries belong to the set
,−, 0. An nbyn sign pattern A is said to allow an eventually
positive matrix if there exist some real matrices A with the same
sign pattern as A and a positive integer k0 such that Ak > 0 for all
k ≥ k0. It is well known that identifying and classifying the nbyn
sign patterns that allow an eventually positive matrix are posed as two
open problems. In this article, the tree sign patterns of small order
that allow an eventually positive matrix are classified completely.
Open Science Index 100, 2015