{
  "id": "2212.02979",
  "version": "v1",
  "published": "2022-12-06T13:51:10.000Z",
  "updated": "2022-12-06T13:51:10.000Z",
  "title": "Linear preservers of copositive and completely positive matrices",
  "authors": [
    "Sachindranath Jayaraman",
    "Vatsalkumar N. Mer"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The objective of this short note is to understand the structure of an invertible linear map on the space of real symmetric matrices $\\mathcal{S}^n$ that leaves invariant the closed convex cones of copositive and completely positive matrices ($COP_n$ and $CP_n$). A description of an invertible linear map on $\\mathcal{S}^2$ such that $L(CP_2) \\subset CP_2$ is completely determined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-06T13:51:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A86",
      "15B48"
    ],
    "keywords": [
      "positive matrices",
      "linear preservers",
      "invertible linear map",
      "copositive",
      "real symmetric matrices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}