TY - JFULL AU - Ber-Lin Yu and Jie Cui and Hong Cheng and Zhengfeng Yu PY - 2015/5/ TI - Tree Sign Patterns of Small Order that Allow an Eventually Positive Matrix T2 - International Journal of Mathematical and Computational Sciences SP - 262 EP - 266 VL - 9 SN - 1307-6892 UR - https://publications.waset.org/pdf/10003179 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 100, 2015 N2 - A sign pattern is a matrix whose entries belong to the set {+,−, 0}. An n-by-n 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 n-by-n 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. ER -