On the positivity of the coefficients of a certain polynomial defined by two positive definite matrices
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Publication:1777948
DOI10.1007/s10955-004-8829-xzbMath1126.15303arXiv0707.0712OpenAlexW2962845630MaRDI QIDQ1777948
Christopher J. Hillar, Charles R. Johnson
Publication date: 25 May 2005
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.0712
tracepositive definiteBessis-Moussa-Villani conjecturewords in two matricesHurwitz productcomputational minimization
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Related Items (8)
Proof of the cases \(p \leq 7\) of the Lieb-Seiringer formulation of the Bessis-Moussa-Villani conjecture ⋮ Proof of the BMV conjecture ⋮ Sum-of-squares results for polynomials related to the Bessis-Moussa-Villani conjecture ⋮ Advances on the Bessis-Moussa-Villani trace conjecture ⋮ Sums of Hermitian squares and the BMV conjecture ⋮ A new series of conjectures and open questions in optimization and matrix analysis ⋮ Sums of Hermitian squares as an approach to the BMV conjecture ⋮ Principal minor sums of \((A + tB)^m\)
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- Equivalent forms 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
- Symmetric word equations in two positive definite letters
- Combination of Jacobi–Davidson and conjugate gradients for the partial symmetric eigenproblem
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