{
  "abstract": "We establish the global convergence of the (non-homogeneous) Fitness Centrality algorithm for general graphs, deriving an explicit convergence bound for the corresponding fixed-point iteration. Furthermore, we show how the convergence can be dramatically improved by Anderson acceleration and by switching to Newton's method once a sufficiently good approximation to the fixed point has been found. The efficacy of this strategy is illustrated by numerical experiments on different types of graphs.",
  "abstract_shown": true,
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  "article_type": null,
  "arxiv": "2608.28634",
  "author_total": 2,
  "authors": [
    {
      "name": "Nikita Deniskin"
    },
    {
      "name": "Michele Benzi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e6p43pvrge1av.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28634",
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  "id": "e6p43pvrge1av",
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  "landing_url": "https://arxiv.org/abs/2608.28634",
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  "native_subjects": [
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      "arxiv",
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      "arxiv",
      "cs.SI"
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  "openalex": "W7204868451",
  "pdf_url": "https://arxiv.org/pdf/2608.28634",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e6p43pvrge1av.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.28634",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28634"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Convergence and acceleration of a nonlinear fixed-point iteration for computing the Fitness Centrality of general graphs",
  "title_text": "Convergence and acceleration of a nonlinear fixed-point iteration for computing the Fitness Centrality of general graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/e6p43pvrge1av",
  "venue": "arXiv",
  "versions": []
}