{
  "id": "1602.08673",
  "version": "v1",
  "published": "2016-02-28T05:44:08.000Z",
  "updated": "2016-02-28T05:44:08.000Z",
  "title": "Eigenvalue bounds for matrix polynomials in generalized bases",
  "authors": [
    "Aaron Melman"
  ],
  "comment": "14 pages, 9 figures",
  "categories": [
    "math.NA"
  ],
  "abstract": "We derive inclusion regions for the eigenvalues of matrix polynomials expressed in a general polynomial basis, which can lead to significantly better results than traditional bounds. We present several applications to engineering problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-28T05:44:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12D10",
      "15A18",
      "30C15"
    ],
    "keywords": [
      "matrix polynomials",
      "eigenvalue bounds",
      "generalized bases",
      "general polynomial basis",
      "significantly better results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160208673M"
    }
  }
}