{
  "id": "0710.0852",
  "version": "v1",
  "published": "2007-10-03T17:49:29.000Z",
  "updated": "2007-10-03T17:49:29.000Z",
  "title": "A regularization algorithm for matrices of bilinear and sesquilinear forms",
  "authors": [
    "Roger A. Horn",
    "Vladimir V. Sergeichuk"
  ],
  "comment": "18 pages",
  "journal": "Linear Algebra Appl. 412 (2006) 380-395",
  "doi": "10.1016/j.laa.2005.07.004",
  "categories": [
    "math.RT"
  ],
  "abstract": "We give an algorithm that uses only unitary transformations and for each square complex matrix constructs a *congruent matrix that is a direct sum of a nonsingular matrix and singular Jordan blocks.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-03T17:49:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A63",
      "15A21",
      "15A22"
    ],
    "keywords": [
      "sesquilinear forms",
      "regularization algorithm",
      "square complex matrix constructs",
      "singular jordan blocks",
      "unitary transformations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.0852H"
    }
  }
}