{
  "id": "1312.6464",
  "version": "v2",
  "published": "2013-12-23T04:42:42.000Z",
  "updated": "2014-07-28T06:52:54.000Z",
  "title": "On the equivalence between the modifier-adaptation and trust-region frameworks",
  "authors": [
    "Gene A. Bunin"
  ],
  "comment": "short note submitted to Computers and Chemical Engineering",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this short note, the recently popular modifier-adaptation framework for real-time optimization is discussed in tandem with the well-developed trust-region framework of numerical optimization, and it is shown that the basic version of the former is a simplification of the latter when the problem is unconstrained. This relation is then exploited to propose a globally convergent modifier-adaptation algorithm using already developed trust-region theory. Cases when the two may not be equivalent and extensions to constrained problems are also discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-28T06:52:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "equivalence",
      "popular modifier-adaptation framework",
      "globally convergent modifier-adaptation algorithm",
      "basic version",
      "short note"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.6464B"
    }
  }
}