{
  "id": "1910.06894",
  "version": "v1",
  "published": "2019-10-15T16:09:02.000Z",
  "updated": "2019-10-15T16:09:02.000Z",
  "title": "Stability OF KKT systems and superlinear convergence of the SQP method under parabolic regularity",
  "authors": [
    "Ashkan Mohammadi",
    "Boris Mordukhovich",
    "Ebrahim Sarabi"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "This paper pursues a two-fold goal. Firstly, we aim to derive novel second-order characterizations of important robust stability properties of perturbed Karush-Kuhn-Tucker systems for a broadclass of constrained optimization problems generated by parabolically regular sets. Secondly, the obtained characterizations are applied to establish well-posedness and superlinear convergence of the basic sequential quadratic programming method to solve parabolically regular constrained optimization problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-15T16:09:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "superlinear convergence",
      "kkt systems",
      "sqp method",
      "parabolic regularity",
      "regular constrained optimization problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}