Solutions to two problems on permanents

DOI10.1016/j.laa.2011.06.022zbMath1298.15013arXiv1104.3531OpenAlexW2121045391MaRDI QIDQ648918

Petter Brändén

Publication date: 29 November 2011

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

Full work available at URL: https://arxiv.org/abs/1104.3531

zbMATH Keywords

positivitysymmetric grouppermanentelementary symmetric functioncomplete monotonicityhyperbolic polynomial\(\alpha\)-determinant\(\alpha\)-permanentMacMahon Master theoremsymmeteric function mean

Mathematics Subject Classification ID

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

Related Items (2)

Mixed determinants and the Kadison-Singer problem ⋮ Complete monotonicity for inverse powers of some combinatorially defined polynomials

Cites Work

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• Complete monotonicity for inverse powers of some combinatorially defined polynomials
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• Symmetric function means and permanents
• Hyperbolic programs, and their derivative relaxations
• Hyperbolic Polynomials and Convex Analysis
• Inequalities for Symmetric Functions and Hermitian Matrices
• Laguerre Polynomials, Weighted Derangements, and Positivity
• REMARKS ON THE POSITIVITY OF α-DETERMINANTS

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