{
  "id": "math/0605577",
  "version": "v2",
  "published": "2006-05-22T09:51:45.000Z",
  "updated": "2006-09-27T10:28:25.000Z",
  "title": "A fast and accurate algorithm for solving Bernstein-Vandermonde linear sytem",
  "authors": [
    "A. Marco",
    "J. J. Martinez"
  ],
  "comment": "13 pages. We have extended the numerical experiments",
  "categories": [
    "math.NA"
  ],
  "abstract": "A fast and accurate algorithm for solving a Bernstein-Vandermonde linear system is presented. The algorithm is derived by using results related to the bidiagonal decomposition of the inverse of a totally positive matrix by means of Neville elimination. The use of explicit expressions for the determinants involved in the process serves to make the algorithm both fast and accurate.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-09-27T10:28:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65F05",
      "15A23",
      "65D05",
      "65D17"
    ],
    "keywords": [
      "solving bernstein-vandermonde linear sytem",
      "accurate algorithm",
      "bernstein-vandermonde linear system",
      "bidiagonal decomposition",
      "neville elimination"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5577M"
    }
  }
}