Multiplicative principal-minor inequalities for totally nonnegative matrices

DOI10.1016/S0196-8858(02)00506-7zbMath1030.15021OpenAlexW2021000796MaRDI QIDQ1408264

Michael I. Gekhtman, Shaun M. Fallat, Charles R. Johnson

Publication date: 15 September 2003

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0196-8858(02)00506-7

zbMATH Keywords

determinanttotally nonnegative matricesHadamard inequalitydeterminantal inequalitiesprincipal minorbidiagonal factorizationFischer inequalityKoteljanskii inequalities

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 (6)

Kazhdan-Lusztig immanants and products of matrix minors ⋮ Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products ⋮ On improvements of Fischer's inequality and Hadamard's inequality for \(K_0\)-matrices ⋮ On generators of bounded ratios of minors for totally positive matrices ⋮ Inequalities in products of minors of totally nonnegative matrices ⋮ Kazhdan–Lusztig immanants and products of matrix minors, II

Uses Software

• cdd

Cites Work

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• Determinantal inequalities for positive definite matrices
• Some properties of totally positive matrices
• Line insertions in totally positive matrices
• Inequalities in products of minors of totally nonnegative matrices
• Parametrizations of canonical bases and totally positive matrices
• An inequality for subadditive functions on a distributive lattice, with application to determinantal inequalities
• Subadditive functions on a distributive lattice and an extension of Szász's inequality
• A reduction theorem for totally positive matrices
• Matrix Analysis
• Double Bruhat cells and total positivity
• A property of sign-symmetric matrices
• Weakly sign-symmetric matrices and some determinantal inequalities
• Totally positive matrices
• Inequalities: theory of majorization and its applications

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