{
  "abstract": "This paper addresses the local convergence analysis of the stabilized sequential quadratic programming method for a class of composite optimization problems with convex piecewise linear- quadratic (CPLQ) modeling functions. We demonstrate that an appropriate second-order sufficient condition (SOSC) -formulated for composite problems- alone is sufficient to guarantee local superlin- ear convergence of the primal-dual sequence generated by this method. Furthermore, we examine the relaxation of the SOSC and show that it can be replaced with a weaker noncriticality of the associated Lagrange multiplier, provided, the modeling function is polyhedral and a relative interior condition is satisfied. We also present counterexamples showing that the relative interior condition is indispensable and that this relaxation fails for general CPLQ modeling functions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13741",
  "author_total": 2,
  "authors": [
    {
      "name": "Nguyen T. V. Hang"
    },
    {
      "name": "Ebrahim Sarabi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3f57d30vypsth.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13741",
  "fulltext_url": null,
  "id": "3f57d30vypsth",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13741",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "1703|Optimization and Variational Analysis"
    ]
  ],
  "openalex": "W7221533517",
  "pdf_url": "https://arxiv.org/pdf/2610.13741",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3f57d30vypsth.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.13741",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13741"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Stabilized SQP Method for Convex Piecewise Linear-Quadratic Composite Optimization Problems",
  "title_text": "Stabilized SQP Method for Convex Piecewise Linear-Quadratic Composite Optimization Problems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/3f57d30vypsth",
  "venue": "arXiv",
  "versions": []
}