{
  "id": "2012.02520",
  "version": "v1",
  "published": "2020-12-04T11:05:51.000Z",
  "updated": "2020-12-04T11:05:51.000Z",
  "title": "Convergence results for some piecewise linear solvers",
  "authors": [
    "Manuel Radons",
    "Siegfried M. Rump"
  ],
  "comment": "10 pages. arXiv admin note: substantial text overlap with arXiv:1707.09174",
  "categories": [
    "math.NA",
    "cs.NA",
    "math.OC"
  ],
  "abstract": "Let $A$ be a real $n\\times n$ matrix and $z,b\\in \\mathbb R^n$. The piecewise linear equation system $z-A\\vert z\\vert = b$ is called an \\textit{absolute value equation}. We consider two solvers for this problem, one direct, one semi-iterative, and extend their previously known ranges of convergence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-04T11:05:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A39",
      "90C33",
      "90C27"
    ],
    "keywords": [
      "piecewise linear solvers",
      "convergence results",
      "piecewise linear equation system",
      "value equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}