Inequalities for permanents involving Perron complements

DOI10.1016/S0024-3795(03)00533-0zbMath1080.15006MaRDI QIDQ1827501

Ravindra B. Bapat, Michael Neumann

Publication date: 6 August 2004

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

zbMATH Keywords

Perron complementsPermanentsNonnegative matricesCycle meanIrreducible matricesMaximum circuit geometric meanPositive semidefinite matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

Basic Soules matrices and their applications

Cites Work

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• Uncoupling the Perron eigenvector problem
• Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix
• Inverses of Perron complements of inverse \(M\)-matrices
• Matrix Analysis
• Stochastic Complementation, Uncoupling Markov Chains, and the Theory of Nearly Reducible Systems
• On Perron complements of totally nonnegative matrices
• Perron complement and Perron root

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