{
  "abstract": "A numerical algorithm is described for computing the inverse of a non-singular multivector across dimensions. The method wraps a reversion-like product around a Faddeev--LeVerrier--Souriau (FLS) polynomial core. While FLS provides dimensional extensibility, the wrapper reduces the polynomial order of the FLS method, and introduces a sparse multivector which can be further exploited. The construction and essential properties of the initial involution are explained. For dimensions 4--7, the optimized inverse requires fewer real multiplications than a same-dimension multivector product. Dimensions 8--11 follow easily on common hardware with similar efficiency. For dimensions 12--15, higher-precision arithmetic demonstrates the generality of the algorithm when the arithmetic can support it. Performance on common hardware is reported. Directions are included for obtaining a Python package with examples for numerical computation in Clifford algebra, supporting arbitrary signatures including degenerate cases.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.14549",
  "author_total": 1,
  "authors": [
    {
      "name": "David Arthur Jones"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dwra4kf4apwkt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.14549",
  "fulltext_url": null,
  "id": "dwra4kf4apwkt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.14549",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.RA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.14549",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dwra4kf4apwkt.ris",
  "sources": [
    {
      "first_seen": "2026-11-13T06:20:56Z",
      "native_id": "2611.14549",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.14549"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Another Multivector Inverse Algorithm",
  "title_text": "Another Multivector Inverse Algorithm",
  "type": "preprint",
  "updated_at": "2026-11-13T06:20:56Z",
  "url": "https://research.draconitic.com/paper/dwra4kf4apwkt",
  "venue": "arXiv",
  "versions": []
}