{
  "id": "2212.13389",
  "version": "v1",
  "published": "2022-12-27T07:16:38.000Z",
  "updated": "2022-12-27T07:16:38.000Z",
  "title": "CP decomposition and low-rank approximation of antisymmetric tensors",
  "authors": [
    "Erna Begovic",
    "Lana Perisa"
  ],
  "comment": "16 pages, 4 tables",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "For the antisymmetric tensors the paper examines a low-rank approximation which is represented via only three vectors. We describe a suitable low-rank format and propose an alternating least squares structure-preserving algorithm for finding such approximation. The case of partial antisymmetry is also discussed. The algorithms are implemented in Julia programming language and their numerical performance is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-27T07:16:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A69"
    ],
    "keywords": [
      "low-rank approximation",
      "antisymmetric tensors",
      "cp decomposition",
      "julia programming language",
      "paper examines"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}