{
  "id": "2405.08269",
  "version": "v1",
  "published": "2024-05-14T01:59:29.000Z",
  "updated": "2024-05-14T01:59:29.000Z",
  "title": "On saturation of the discrepancy principle for nonlinear Tikhonov regularization in Hilbert spaces",
  "authors": [
    "Qinian Jin"
  ],
  "categories": [
    "math.NA",
    "cs.NA",
    "math.OC"
  ],
  "abstract": "In this paper we revisit the discrepancy principle for Tikhonov regularization of nonlinear ill-posed problems in Hilbert spaces and provide some new and improved saturation results under less restrictive conditions, comparing with the existing results in the literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-14T01:59:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear tikhonov regularization",
      "discrepancy principle",
      "hilbert spaces",
      "saturation results",
      "nonlinear ill-posed problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}