Asymptotic positivity of Hurwitz product traces: two proofs

DOI10.1016/j.laa.2009.10.016zbMath1189.15008arXiv0811.0030OpenAlexW2963739843MaRDI QIDQ846296

Shmuel Friedland, Christian Fleischhack

Publication date: 9 February 2010

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

Full work available at URL: https://arxiv.org/abs/0811.0030

zbMATH Keywords

Laplace transformtrace inequalitiesBessis-Moussa-Villani conjectureHurwitz productspositive Hermitian 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) Matrix exponential and similar functions of matrices (15A16)

Related Items (3)

Proof of the BMV conjecture ⋮ Lifespan in a primitive Boolean linear dynamical system ⋮ Sums of Hermitian squares and the BMV conjecture

Cites Work

• Unnamed Item
• Advances on the Bessis-Moussa-Villani trace conjecture
• Equivalent forms of the Bessis-Moussa-Villani conjecture
• Sums of Hermitian squares and the BMV conjecture
• A hyper-geometric approach to the BMV-conjecture
• Proof of the cases \(p \leq 7\) of the Lieb-Seiringer formulation of the Bessis-Moussa-Villani conjecture
• Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics
• Eigenvalues of Words in Two Positive Definite Letters
• Sums of Hermitian squares as an approach to the BMV conjecture

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