{
  "abstract": "This paper considers a nonconvex fractional optimization problem with composite structure and nonlinear equality constraints. We reformulate the problem as a non-fractional min-max problem with corresponding optimal solutions. By linearizing the nonlinear constraint terms in the augmented Lagrangian and incorporating Bregman proximal linearization and a relaxation factor in $(0, 2)$ into the alternating direction method of multipliers (ADMM), we develop a Bregman proximal linearized ADMM with guaranteed subsequential convergence to a lifted critical point. Convergence of the entire sequence is established under the Kurdyka--Łojasiewicz (KL) property. We further derive convergence rates under either a Hölderian value proximity error bound condition or the KL property, with the corresponding exponent in $[0, 1)$. In particular, we establish superlinear convergence for exponents in $(0, 1/2)$, together with finite, linear, and sublinear convergence in the remaining cases. Numerical experiments demonstrate the effectiveness of the proposed algorithm.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11961",
  "author_total": 5,
  "authors": [
    {
      "name": "Pengjie Liu"
    },
    {
      "name": "Jinhu Chen"
    },
    {
      "name": "Minh N. Dao"
    },
    {
      "name": "Hu Shao"
    },
    {
      "name": "Jinbao Jian"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3z7ftgx42nr29.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11961",
  "fulltext_url": null,
  "id": "3z7ftgx42nr29",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11961",
  "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",
      "1703|Optimization and Variational Analysis"
    ]
  ],
  "openalex": "W7221194053",
  "pdf_url": "https://arxiv.org/pdf/2610.11961",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3z7ftgx42nr29.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:58Z",
      "native_id": "2610.11961",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11961"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "A Bregman proximal linearized ADMM for fractional programming with nonlinear coupling constraints",
  "title_text": "A Bregman proximal linearized ADMM for fractional programming with nonlinear coupling constraints",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/3z7ftgx42nr29",
  "venue": "arXiv",
  "versions": []
}