{
  "id": "1212.6107",
  "version": "v1",
  "published": "2012-12-26T01:26:31.000Z",
  "updated": "2012-12-26T01:26:31.000Z",
  "title": "A solution of a tropical linear vector equation",
  "authors": [
    "Nikolai Krivulin"
  ],
  "comment": "The 6th WSEAS European Computing Conference (ECC'12), Prague, Czech Republic, September 24-26, 2012; Advances in Computer Science: Proc. 6th WSEAS European Computing Conf. (ECC'12), WSEAS Press. ISBN 978-1-61804-126-5. RACES 5, ISSN 1790-5109",
  "journal": "Recent Advances in Computer Engineering Series, Vol. 5, 2012, pp. 244-249",
  "categories": [
    "math.OC",
    "cs.DM"
  ],
  "abstract": "A linear vector equation is considered defined in terms of idempotent mathematics. To solve the equation, we apply an approach that is based on the analysis of distances between vectors in idempotent vector spaces and reduces the solution of the equation to that of a tropical optimization problem. Based on the approach, existence and uniqueness conditions are established for the solution, and a general solution to the equation is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-26T01:26:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A80",
      "15A06",
      "90C47"
    ],
    "keywords": [
      "tropical linear vector equation",
      "idempotent vector spaces",
      "idempotent mathematics",
      "tropical optimization problem",
      "general solution"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.6107K"
    }
  }
}