Author = Afshin, Hamid Reza
Number of Articles: 1
The Sign-Real Spectral Radius for Real Tensors
Volume 5, Issue 1, 2018, Pages 73-87
https://doi.org/10.22072/wala.2018.71992.1134
Hamid Reza Afshin, Ali Reza Shojaeifard
Abstract In this paper a new quantity for real tensors, the sign-real spectral radius, is defined and investigated. Various characterizations, bounds and some properties are derived. In certain aspects our quantity shows similar behavior to the spectral radius of a nonnegative tensor. In fact, we generalize the Perron Frobenius theorem for nonnegative tensors to the class of real tensors.