{
  "id": "0709.2466",
  "version": "v1",
  "published": "2007-09-16T06:54:32.000Z",
  "updated": "2007-09-16T06:54:32.000Z",
  "title": "Littlewood's algorithm and quaternion matrices",
  "authors": [
    "Dennis I. Merino",
    "Vladimir V. Sergeichuk"
  ],
  "comment": "20 pages",
  "journal": "Linear Algebra Appl. 298 (1999) 193--208",
  "doi": "10.1016/S0024-3795(99)00170-6",
  "categories": [
    "math.RT"
  ],
  "abstract": "A strengthened form of Schur's triangularization theorem is given for quaternion matrices with real spectrum (for complex matrices it was given by Littlewood). Littlewood's algorithm for reducing a complex matrix to a canonical form under unitary similarity is extended to quaternion matrices whose eigenvalues have geometric multiplicity 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-16T06:54:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A21"
    ],
    "keywords": [
      "quaternion matrices",
      "littlewoods algorithm",
      "schurs triangularization theorem",
      "unitary similarity",
      "real spectrum"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.2466M"
    }
  }
}