{
  "id": "1710.04079",
  "version": "v1",
  "published": "2017-10-10T08:53:47.000Z",
  "updated": "2017-10-10T08:53:47.000Z",
  "title": "The Dimension of Eigenvariety of Nonnegative Tensors Associated with Spectral Radius",
  "authors": [
    "Yi-Zheng Fan",
    "Tao Huang",
    "Yan-Hong Bao"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1707.07414",
  "categories": [
    "math.CO"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-10T08:53:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A18",
      "05C65",
      "13P15",
      "14M99"
    ],
    "keywords": [
      "spectral radius",
      "nonnegative tensors",
      "weakly irreducible tensor",
      "projective eigenvariety",
      "nonnegative weakly symmetric tensors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}