{
  "id": "0904.0703",
  "version": "v1",
  "published": "2009-04-04T11:27:07.000Z",
  "updated": "2009-04-04T11:27:07.000Z",
  "title": "A proximal approach to the inversion of ill-conditioned matrices",
  "authors": [
    "Pierre Maréchal",
    "Aude Rondepierre"
  ],
  "categories": [
    "math.NA",
    "math.OC"
  ],
  "abstract": "We propose a general proximal algorithm for the inversion of ill-conditioned matrices. This algorithm is based on a variational characterization of pseudo-inverses. We show that a particular instance of it (with constant regularization parameter) belongs to the class of {\\sl fixed point} methods. Convergence of the algorithm is also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-04T11:27:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ill-conditioned matrices",
      "proximal approach",
      "constant regularization parameter",
      "general proximal algorithm",
      "variational characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.0703M"
    }
  }
}