{
  "abstract": "Independently weighted semidefinite penalties arise in augmented-Lagrangian and constrained formulations. This paper characterizes when an exact additive subspace-correction preconditioner remains uniformly effective over all nonnegative penalty weights on a fixed finite-dimensional space. Robustness holds precisely when the correction spaces decompose every joint kernel generated by a nonempty subset of penalties. If one condition fails, a computable constant determines the exact first-order decay of the smallest preconditioned eigenvalue along the associated parameter ray, and the condition number grows linearly; none of the subset conditions can be discarded in general. Filtered decompositions provide computable sufficient bounds on parameter-ordering cones, while distributive kernel lattices permit a single common splitting. Exact-additive computations confirm the characterization and predicted rates. Separate Scott-Vogelius experiments produce stable multilevel iteration counts over the tested weights and mesh levels. The analysis does not establish mesh-uniformity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.30265",
  "author_total": 1,
  "authors": [
    {
      "name": "Subhransu S. Bhattacharjee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2495pznttqd2c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30265",
  "fulltext_url": null,
  "id": "2495pznttqd2c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.30265",
  "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",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2206|Advanced Numerical Methods in Computational Mathematics"
    ]
  ],
  "openalex": "W7204879913",
  "pdf_url": "https://arxiv.org/pdf/2608.30265",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2495pznttqd2c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.30265",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30265"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Parameter-Robust Subspace Correction with Multiple Semidefinite Penalties",
  "title_text": "Parameter-Robust Subspace Correction with Multiple Semidefinite Penalties",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/2495pznttqd2c",
  "venue": "arXiv",
  "versions": []
}