Total nonpositivity of nonsingular matrices

DOI10.1016/j.laa.2009.12.043zbMath1191.15028OpenAlexW2024379026MaRDI QIDQ967509

Delin Chu, Rong Huang

Publication date: 29 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.2009.12.043

zbMATH Keywords

determinant inequalitysign regular matricesnonsingular totally nonpositive matricestridiagonal factorization

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (14)

On the characterization of totally nonpositive matrices ⋮ The Bunch-Kaufman factorization of symmetric matrices signature similar to sign regular matrices ⋮ On the sensitivity of generators for the QR factorization of quasiseparable matrices with total nonpositivity ⋮ Quasi-\(LDU\) factorization of nonsingular totally nonpositive matrices ⋮ A test and bidiagonal factorization for certain sign regular matrices ⋮ Nonsingular almost strictly sign regular matrices ⋮ Computing singular value decompositions of parameterized matrices with total nonpositivity to high relative accuracy ⋮ Full rank factorization in quasi-\(LDU\) form of totally nonpositive rectangular matrices ⋮ Characterizations of Jacobi sign regular matrices ⋮ Componentwise error analysis for linear systems associated with sign regular matrices ⋮ Intervals of special sign regular matrices ⋮ On totally nonpositive matrices associated with a triple negatively realizable ⋮ On parametrization of totally nonpositive matrices and applications ⋮ Relative Perturbation Analysis for Eigenvalues and Singular Values of Totally Nonpositive Matrices

Cites Work

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• Sign regular matrices and Neville elimination
• Total positivity and Neville elimination
• Some properties of totally positive matrices
• A test for strict sign-regularity
• On nonsingular sign regular matrices
• Total Positivity, $QR$ Factorization, and Neville Elimination
• $LDU$ Factorization of Nonsingular Totally Nonpositive Matrices
• Tridiagonalization of Completely Nonnegative Matrices
• Totally positive matrices

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