Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization

DOI10.1016/j.laa.2018.01.035zbMath1386.15031OpenAlexW2787025457MaRDI QIDQ1743086

Mohammad Adm, Ayed Abedel Ghani, Khawla Al Muhtaseb, Jürgen Garloff, Shaun M. Fallat

Publication date: 12 April 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-2-nbxsjvsliwvk0

zbMATH Keywords

ranklinear independenceCauchon algorithmCauchon diagramCauchon matrixelementary bidiagonal factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (3)

Scaffoldings of totally positive matrices and line insertion ⋮ Characterization, perturbation, and interval property of certain sign regular matrices ⋮ Unnamed Item

Cites Work

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• Efficient recognition of totally nonnegative matrix cells
• Totally nonnegative cells and matrix Poisson varieties
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• Consecutive-column and -row properties of matrices and the Loewner-Neville factorization
• Prime spectrum of \(O_q(M_n(k))\): canonical image and normal separation
• Intervals of totally nonnegative matrices
• Successively Ordered Elementary Bidiagonal Factorization
• Improved tests and characterizations of totally nonnegative matrices
• Intervals of special sign regular matrices

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