{
  "abstract": "TriCG and TriMR are two short-recurrence iterative methods introduced by Montoison and Orban [SIAM J.\\ Sci.\\ Comput., 43 (2021), pp.\\ A2502--A2525] for solving symmetric quasi-definite linear systems. Extensive numerical experiments have demonstrated the efficiency of these two methods, but a systematic convergence analysis is still lacking. In this paper, we derive convergence bounds for the TriCG error norm and the TriMR residual norm. Numerical experiments support the theoretical results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04189",
  "author_total": 2,
  "authors": [
    {
      "name": "Kui Du"
    },
    {
      "name": "Jia-Jun Fan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1vkrq7tpndfqa.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04189",
  "fulltext_url": null,
  "id": "1vkrq7tpndfqa",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.04189",
  "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",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04189",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1vkrq7tpndfqa.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.04189",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04189"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Convergence analysis of TriCG and TriMR for symmetric quasi-definite linear systems",
  "title_text": "Convergence analysis of TriCG and TriMR for symmetric quasi-definite linear systems",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/1vkrq7tpndfqa",
  "venue": "arXiv",
  "versions": []
}