{
  "id": "1404.2427",
  "version": "v1",
  "published": "2014-04-09T10:40:05.000Z",
  "updated": "2014-04-09T10:40:05.000Z",
  "title": "Projection onto simplicial cones by a semi-smooth Newton method",
  "authors": [
    "O. P. Ferreira",
    "S. Z. Németh"
  ],
  "comment": "10 pages",
  "categories": [
    "math.OC",
    "math.NA"
  ],
  "abstract": "By using Moreau's decomposition theorem for projecting onto cones, the problem of projecting onto a simplicial cone is reduced to finding the unique solution of a nonsmooth system of equations. It is shown that a semi-smooth Newton method applied to the system of equations associated to the problem of projecting onto a simplicial cone is always well defined, and the generated sequence is bounded for any starting point and under a somewhat restrictive assumption it is finite. Besides, under a mild assumption on the simplicial cone, the generated sequence converges linearly to the solution of the associated system of equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-09T10:40:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "90C33",
      "15A48"
    ],
    "keywords": [
      "semi-smooth newton method",
      "simplicial cone",
      "projection",
      "moreaus decomposition theorem",
      "somewhat restrictive assumption"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.2427F"
    }
  }
}