{
  "id": "2011.00047",
  "version": "v1",
  "published": "2020-10-30T18:50:51.000Z",
  "updated": "2020-10-30T18:50:51.000Z",
  "title": "Numerical Method for a Class of Algebraic Riccati Equations",
  "authors": [
    "Lucky Qiaofeng Li",
    "Xizhi Su"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "We study an iteration approach to solve the coupled algebraic Riccati equations when they appear in general two player closed-loop type Nash differential games over an infinite time horizon. Also, we propose an effective algorithm for finding positive definite solutions. In particular, we present various numerical examples connected with matrix Riccati equations according to different dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-30T18:50:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "numerical method",
      "closed-loop type nash differential games",
      "player closed-loop type nash differential",
      "coupled algebraic riccati equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}