%0 Journal Article %T The Sign-Real Spectral Radius for Real Tensors %J Wavelet and Linear Algebra %I Vali-e-Asr university of Rafsanjan %Z 2383-1936 %A Afshin, Hamid Reza %A Shojaeifard, Ali Reza %D 2018 %\ 06/01/2018 %V 5 %N 1 %P 73-87 %! The Sign-Real Spectral Radius for Real Tensors %K Higher order tensor %K Nonnegative tensor %K Perron Frobenius theorem %R 10.22072/wala.2018.71992.1134 %X 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. %U https://wala.vru.ac.ir/article_31755_fdd95296e0cd5cd23bf0aa5f70fe3882.pdf