Title of article :
The Sign-Real Spectral Radius for Real Tensors
Author/Authors :
Afshin, Hamid Reza Department of Mathematics - Vali-e-Asr University of Rafsanjan , Shojaeifard, Ali Reza Faculty of Sciences - Department of Mathematics - Imam Hossein Comprehensive University, Tehran
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.
Keywords :
Higher order tensor , Nonnegative tensor , Perron Frobenius theorem
Journal title :
Astroparticle Physics
