{
  "id": "2001.09706",
  "version": "v1",
  "published": "2020-01-27T11:46:28.000Z",
  "updated": "2020-01-27T11:46:28.000Z",
  "title": "Estimations of zeros of a polynomial using numerical radius inequalities",
  "authors": [
    "Pintu Bhunia",
    "Santanu Bag",
    "Raj Kumar Nayak",
    "Kallol Paul"
  ],
  "comment": "12 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We present new bounds for the numerical radius of bounded linear operators and $2\\times 2$ operator matrices. We apply upper bounds for the numerical radius to the Frobenius companion matrix of a complex monic polynomial to obtain new estimations for zeros of that polynomial. We also show with numerical examples that our new estimations improve on the existing estimations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-27T11:46:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26C20",
      "47A12",
      "15A60"
    ],
    "keywords": [
      "numerical radius inequalities",
      "estimations",
      "complex monic polynomial",
      "frobenius companion matrix",
      "bounded linear operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}