Multilinear functional inequalities involving permanents, determinants, and other multilinear functions of nonnegative matrices and \(M\)-matrices

DOI10.1016/S0024-3795(02)00735-8zbMath1029.15016OpenAlexW2146655208MaRDI QIDQ1399938

Michael Neumann, Assaf Goldberger

Publication date: 30 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(02)00735-8

zbMATH Keywords

upper boundsdeterminantsnonnegative matricespermanentsM-matricesmultilinear functional 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)

Cites Work

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• On the Perron-Frobenius eigenvector for nonnegative integral matrices whose largest eigenvalue is integral
• Two properties of M-matrices
• On recurring theorems on diagonal dominance
• Bounds for determinants of perturbed \(M\)-matrices
• Markov chains and M-matrices: inequalities and equalities
• An Improvement of an Inequality of Fiedler Leading to a New Conjecture on Nonnegative Matrices
• An Inequality Between the Permanent and the Determinant
• PROOF OF A PERMANENTAL INEQUALITY

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