{
  "id": "math/0609198",
  "version": "v2",
  "published": "2006-09-07T10:21:16.000Z",
  "updated": "2007-08-01T09:22:38.000Z",
  "title": "Convergence of the Magnus series",
  "authors": [
    "Per Christian Moan",
    "Jitse Niesen"
  ],
  "comment": "11 pages; v2: added justification for conjecture, minor clarifications and corrections",
  "journal": "J. Found. of Comp. Math., 8(3):291--301, 2008",
  "doi": "10.1007/s10208-007-9010-0",
  "categories": [
    "math.CA",
    "math.NA"
  ],
  "abstract": "The Magnus series is an infinite series which arises in the study of linear ordinary differential equations. If the series converges, then the matrix exponential of the sum equals the fundamental solution of the differential equation. The question considered in this paper is: When does the series converge? The main result establishes a sufficient condition for convergence, which improves on several earlier results.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-08-01T09:22:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A25",
      "34A30",
      "65L99"
    ],
    "keywords": [
      "magnus series",
      "convergence",
      "linear ordinary differential equations",
      "series converge",
      "main result establishes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9198M"
    }
  }
}