Yi-Zheng Fan, Tao Huang, Yan-Hong Bao
Published 2017-10-10Version 1
We prove that the dimension of projective eigenvariety of a nonnegative weakly irreducible tensor associated with the spectral radius is zero, i.e. there are finite eigenvectors associated with the spectral radius up to a scalar. We also give some upper bounds for some special classes of nonnegative tensors, and characterize the nonnegative weakly symmetric tensors for which the dimension of projective eigenvariety associated with spectral radius is greater than zero.
Comments: arXiv admin note: text overlap with arXiv:1707.07414
The $α$-normal labeling method for computing the $p$-spectral radii of uniform hypergraphs
The extremal $p$-spectral radius of Berge-hypergraphs
Eigenvariety of Nonnegative Symmetric Weakly Irreducible Tensors Associated with Spectral Radius
![QR code for arXiv:1710.04079 [math.CO]](http://oss.arxitics.com/images/favicon.svg)