Full rank factorization in echelon form of totally nonpositive (negative) rectangular matrices

DOI10.1016/j.laa.2009.07.020zbMath1178.15020OpenAlexW2050515752MaRDI QIDQ734935

Ana M. Urbano, Rafael Cantó, Beatriz Ricarte

Publication date: 14 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.07.020

zbMATH Keywords

Neville eliminationfull rank factorizationtotally nonpositive and totally negative matricestotally positive and strictly totally positive matrices

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)

Related Items (8)

On the characterization of totally nonpositive matrices ⋮ Quasi-\(LDU\) factorization of nonsingular totally nonpositive matrices ⋮ Total negativity: characterizations and single-vector tests ⋮ Full rank factorization in quasi-\(LDU\) form of totally nonpositive rectangular matrices ⋮ Characterizations of Jacobi sign regular matrices ⋮ Characterizations of rectangular totally and strictly totally positive matrices ⋮ Intervals of special sign regular matrices ⋮ On totally nonpositive matrices associated with a triple negatively realizable

Cites Work

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• Total Positivity, $QR$ Factorization, and Neville Elimination
• $LDU$ Factorization of Nonsingular Totally Nonpositive Matrices
• A Totally Positive Factorization of Rectangular Matrices by the Neville Elimination
• Compressions of Totally Positive Matrices
• Totally positive matrices

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