{
  "id": "2007.11420",
  "version": "v1",
  "published": "2020-07-22T13:30:43.000Z",
  "updated": "2020-07-22T13:30:43.000Z",
  "title": "On the application of the semismooth* Newton method to variational inequalities of the second kind",
  "authors": [
    "Helmut Gfrerer",
    "Jiri V. Outrata",
    "Jan Valdman"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "The paper starts with a concise description of the recently developed semismooth* Newton method for the solution of general inclusions. This method is then applied to a class of variational inequalities of the second kind. As a result, one obtains an implementable algorithm exhibiting a local superlinear convergence. Thereafter we suggest several globally convergent hybrid algorithms in which one combines the semismooth* Newton method with selected splitting algorithms for the solution of monotone variational inequalities. Their efficiency is documented by extensive numerical experiments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-22T13:30:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65K10",
      "65K15",
      "90C33"
    ],
    "keywords": [
      "newton method",
      "second kind",
      "application",
      "monotone variational inequalities",
      "globally convergent hybrid algorithms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}