@article{Adm2018Furth-41260.2,
  year={2018},
  doi={10.1016/j.laa.2018.01.035},
  title={Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization},
  volume={545},
  issn={0024-3795},
  journal={Linear Algebra and its Applications},
  pages={240--255},
  author={Adm, Mohammad and Al Muhtaseb, Khawla and Ghani, Ayed Abedel and Fallat, Shaun and Garloff, Jürgen}
}

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    <dcterms:abstract xml:lang="eng">For a class of matrices connected with Cauchon diagrams, Cauchon matrices, and the Cauchon algorithm, a method for determining the rank, and for checking a set of consecutive row (or column) vectors for linear independence is presented. Cauchon diagrams are also linked to the elementary bidiagonal factorization of a matrix and to certain types of rank conditions associated with submatrices called descending rank conditions.</dcterms:abstract>
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