{
  "id": "2011.09913",
  "version": "v1",
  "published": "2020-11-19T15:41:36.000Z",
  "updated": "2020-11-19T15:41:36.000Z",
  "title": "Regularization of systems of nonlinear ill-posed equations: II. Applications",
  "authors": [
    "M. Haltmeier",
    "R. Kowar",
    "A. Leitao",
    "O. Scherzer"
  ],
  "comment": "20 pages, 12 figures",
  "journal": "Inverse Problems and Imaging 1 (2007), no. 3, 507-523",
  "doi": "10.3934/ipi.2007.1.507",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "In part I we introduced modified Landweber-Kaczmarz methods and have established a convergence analysis. In the present work we investigate three applications: an inverse problem related to thermoacoustic tomography, a nonlinear inverse problem for semiconductor equations, and a nonlinear problem in Schlieren tomography. Each application is considered in the framework established in the previous part. The novel algorithms show robustness, stability, computational efficiency and high accuracy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-19T15:41:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65J20",
      "65J15",
      "47J06"
    ],
    "keywords": [
      "nonlinear ill-posed equations",
      "application",
      "regularization",
      "nonlinear inverse problem",
      "novel algorithms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}