{
  "id": "2103.06174",
  "version": "v1",
  "published": "2021-03-10T16:45:03.000Z",
  "updated": "2021-03-10T16:45:03.000Z",
  "title": "Some matrix inequalities of log-majorization type",
  "authors": [
    "Bo-Yan Xi",
    "Fuzhen Zhang"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "The purpose of this paper is two-fold: we present some matrix inequalities of log-majorization type for eigenvalues indexed by a sequence; we then apply our main theorem to generalize and improve the Hua-Marcus' inequalities. Our results are stronger and more general than the existing ones.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-10T16:45:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A42",
      "15A45",
      "47A63"
    ],
    "keywords": [
      "log-majorization type",
      "matrix inequalities",
      "main theorem",
      "hua-marcus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}