Characterizations of rectangular totally and strictly totally positive matrices

DOI10.1016/j.laa.2009.12.004zbMath1192.15013OpenAlexW2071967454MaRDI QIDQ962093

Ana M. Urbano, Rafael Cantó, Beatriz Ricarte

Publication date: 6 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.12.004

zbMATH Keywords

full rank factorizationtotally positive and strictly totally positive matricesthin \(QR\) factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Numerical computation of determinants (65F40) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

On the characterization of totally nonpositive matrices ⋮ Quasi-\(LDU\) factorization of nonsingular totally nonpositive matrices ⋮ Full rank factorization in quasi-\(LDU\) form of totally nonpositive rectangular matrices ⋮ Irreducible totally nonnegative matrices with a prescribed Jordan structure ⋮ All Jordan canonical forms of irreducible totally non-negative matrices

Cites Work

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• A Totally Positive Factorization of Rectangular Matrices by the Neville Elimination
• Compressions of Totally Positive Matrices
• Totally positive matrices