{
  "id": "1307.5920",
  "version": "v1",
  "published": "2013-07-23T01:19:39.000Z",
  "updated": "2013-07-23T01:19:39.000Z",
  "title": "Random iteration and projection method",
  "authors": [
    "Krzysztof Leśniak"
  ],
  "comment": "4 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that under suitable conditions a random orbit generated by a system of nonexpansive maps recovers an invariant set via its omega-limit. In particular, this explains what happens to the Kaczmarz--von Neumann projection algorithm in the infeasible case, that is, when one deals with more than two affine varieties having empty intersection.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-23T01:19:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "projection method",
      "random iteration",
      "kaczmarz-von neumann projection algorithm",
      "invariant set",
      "empty intersection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.5920L"
    }
  }
}