{
  "id": "0903.0553",
  "version": "v1",
  "published": "2009-03-03T15:19:55.000Z",
  "updated": "2009-03-03T15:19:55.000Z",
  "title": "A discrepancy principle for equations with monotone continuous operators",
  "authors": [
    "N. S. Hoang",
    "A. G. Ramm"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NA"
  ],
  "abstract": "A discrepancy principle for solving nonlinear equations with monotone operators given noisy data is formulated. The existence and uniqueness of the corresponding regularization parameter $a(\\delta)$ is proved. Convergence of the solution obtained by the discrepancy principle is justified. The results are obtained under natural assumptions on the nonlinear operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-03T15:19:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47J05",
      "47J06",
      "47J35",
      "65R30"
    ],
    "keywords": [
      "discrepancy principle",
      "monotone continuous operators",
      "solving nonlinear equations",
      "monotone operators",
      "nonlinear operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.0553H"
    }
  }
}