{
  "abstract": "In this paper we propose a GMRES-accelerated version of the Method of Alternating Projections (MAP) for subspaces. It is proved that the accelerated version not only converges to a feasible solution, but also solves a best approximation problem. Comparisons are made with other accelerations proposed in the literature, for solving saddle point problems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36938",
  "author_total": 3,
  "authors": [
    {
      "name": "Luis Manuel Hernández-Ramos"
    },
    {
      "name": "Maryam Calles-Cabriles"
    },
    {
      "name": "Gorka Emaldi-Porco"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bmrgtrm761rjh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36938",
  "fulltext_url": null,
  "id": "bmrgtrm761rjh",
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  "landing_url": "https://arxiv.org/abs/2610.36938",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
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      "arxiv",
      "math.NA"
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      "openalex",
      "1703|Optimization and Variational Analysis"
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  "openalex": "W7224084900",
  "pdf_url": "https://arxiv.org/pdf/2610.36938",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bmrgtrm761rjh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.36938",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36938"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Acceleration of the Method of Alternating Projections on subspaces by GMRES",
  "title_text": "Acceleration of the Method of Alternating Projections on subspaces by GMRES",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/bmrgtrm761rjh",
  "venue": "arXiv",
  "versions": []
}