{
  "id": "1304.5762",
  "version": "v1",
  "published": "2013-04-21T16:29:49.000Z",
  "updated": "2013-04-21T16:29:49.000Z",
  "title": "Change of the *congruence canonical form of 2-by-2 matrices under perturbations",
  "authors": [
    "Vyacheslav Futorny",
    "Lena Klimenko",
    "Vladimir V. Sergeichuk"
  ],
  "comment": "8 pages. arXiv admin note: substantial text overlap with arXiv:1105.2160",
  "journal": "Electr. J. Linear Algebra 27 (2014) 146-154",
  "categories": [
    "math.RT"
  ],
  "abstract": "We study how small perturbations of a 2-by-2 complex matrix can change its canonical form for *congruence. We construct the Hasse diagram for the closure ordering on the set of *congruence classes of 2-by-2 matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-21T16:29:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A21",
      "15A63"
    ],
    "keywords": [
      "canonical form",
      "small perturbations",
      "complex matrix",
      "hasse diagram"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.5762F"
    }
  }
}