{
  "abstract": "This paper identifies and addresses a mathematical oversight in one of the foundational results on the Reformulation-Linearization Technique (RLT) for polynomial optimization. Correctness of the original result can be easily recovered by adding a minor and natural assumption. However, not being aware of this nuance may lead to the loss of convergence guarantees in RLT-based algorithms, especially if they rely on filtering strategies for the construction of the bound-factor constraints.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.21483",
  "author_total": 4,
  "authors": [
    {
      "name": "Alejandro Barros-González"
    },
    {
      "name": "Julio González-Díaz"
    },
    {
      "name": "Brais González-Rodríguez"
    },
    {
      "name": "Iria Rodríguez Acevedo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fj5p7skdhzft1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.21483",
  "fulltext_url": null,
  "id": "fj5p7skdhzft1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.21483",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "2612|Advanced Optimization Algorithms Research"
    ]
  ],
  "openalex": "W7165639946",
  "pdf_url": "https://arxiv.org/pdf/2606.21483",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fj5p7skdhzft1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2606.21483",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.21483"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "A note on the convergence guarantees of RLT-based algorithms for polynomial optimization",
  "title_text": "A note on the convergence guarantees of RLT-based algorithms for polynomial optimization",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/fj5p7skdhzft1",
  "venue": "arXiv",
  "versions": []
}