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Classification of Double Saddle-Point Systems

Numerical Analysis 2026-05-15 v1 Numerical Analysis

Abstract

We offer a classification of a broad and practically relevant class of symmetric double saddle-point system. At the core of the paper is the division of the associated matrices into ``block-arrow'' and ``block-tridiagonal'' forms. We describe relevant applications, invertibility conditions, spectral properties, and block preconditioners. Our discussion is kept within a general framework rather than tailored to specific applications.

Keywords

Cite

@article{arxiv.2605.14157,
  title  = {Classification of Double Saddle-Point Systems},
  author = {Susanne Bradley and Chen Greif},
  journal= {arXiv preprint arXiv:2605.14157},
  year   = {2026}
}