{
  "id": "0804.3388",
  "version": "v1",
  "published": "2008-04-21T19:53:49.000Z",
  "updated": "2008-04-21T19:53:49.000Z",
  "title": "An iterative scheme for solving nonlinear equations with monotone operators",
  "authors": [
    "N. S. Hoang",
    "A. G. Ramm"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "An iterative scheme for solving ill-posed nonlinear operator equations with monotone operators is introduced and studied in this paper. A Dynamical Systems Method (DSM) algorithm for stable solution of ill-posed operator equations with monotone operators is proposed and its convergence is proved. A new discrepancy principle is proposed and justified. A priori and a posteriori stopping rules for the DSM algorithm are formulated and justified.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-21T19:53:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47J05",
      "47J06",
      "47J35",
      "65R30"
    ],
    "keywords": [
      "monotone operators",
      "solving nonlinear equations",
      "iterative scheme",
      "solving ill-posed nonlinear operator equations",
      "posteriori stopping rules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.3388H"
    }
  }
}