{
  "id": "2302.00922",
  "version": "v1",
  "published": "2023-02-02T07:50:50.000Z",
  "updated": "2023-02-02T07:50:50.000Z",
  "title": "An algebraic algorithm for rank-2 ParaTuck-2 decomposition",
  "authors": [
    "Konstantin Usevich"
  ],
  "comment": "BioSiS",
  "categories": [
    "math.NA",
    "cs.NA",
    "math.RA"
  ],
  "abstract": "In this note we consider the problem of ParaTuck-2 decomposition of a complex three-way tensor.We provide an algebraic algorithm for finding the rank-2 decomposition for ParaTuck-2 tensors.Our approach relies only on linear algebra operations and is based on finding the kernel of a structured matrix constructed from the tensor.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-02T07:50:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic algorithm",
      "decomposition",
      "complex three-way tensor",
      "linear algebra operations",
      "approach relies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}