{
  "id": "0709.2470",
  "version": "v1",
  "published": "2007-09-16T07:56:51.000Z",
  "updated": "2007-09-16T07:56:51.000Z",
  "title": "Computation of the canonical form for the matrices of chains and cycles of linear mappings",
  "authors": [
    "Vladimir V. Sergeichuk"
  ],
  "comment": "34 pages",
  "journal": "Linear Algebra Appl. 376 (2004) 235-263",
  "doi": "10.1016/j.laa.2003.07.001",
  "categories": [
    "math.RT"
  ],
  "abstract": "Paul Van Dooren [Linear Algebra Appl. 27 (1979) 103-140] constructed an algorithm for the computation of all irregular summands in Kronecker's canonical form of a matrix pencil. The algorithm is numerically stable since it uses only unitary transformations. We extend Paul Van Dooren's algorithm to the matrices of a cycle of linear mappings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-16T07:56:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A21",
      "15A22",
      "16G20"
    ],
    "keywords": [
      "linear mappings",
      "canonical form",
      "computation",
      "extend paul van doorens algorithm",
      "linear algebra appl"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.2470S"
    }
  }
}