{
  "id": "1503.02757",
  "version": "v1",
  "published": "2015-03-10T02:29:54.000Z",
  "updated": "2015-03-10T02:29:54.000Z",
  "title": "Projection onto simplicial cones by Picard's method",
  "authors": [
    "Jorge Barrios",
    "Orizon P. Ferreira",
    "Sándor Z. Németh"
  ],
  "comment": "22 pages. arXiv admin note: text overlap with arXiv:1404.2427",
  "categories": [
    "math.OC"
  ],
  "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 Picard's method applied to the system of equations associated to the problem of projecting onto a simplicial cone generates a sequence that converges linearly to the solution of the system. Numerical experiments are presented making the comparison between Picard's and semi-smooth Newton's methods to solve the nonsmooth system associated with the problem of projecting a point onto a simplicial cone.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-10T02:29:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "90C33",
      "15A48",
      "90C20"
    ],
    "keywords": [
      "picards method",
      "nonsmooth system",
      "projection",
      "simplicial cone generates",
      "moreaus decomposition theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}