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math-ph2008★ 2 cited
Asymptotic Positivity of Hurwitz Product Traces: Two Proofs
Christian Fleischhack, Shmuel Friedland
Consider the polynomial in for positive hermitian matrices and with . The Bessis-Moussa-Villani conjecture (in the equivalent form of Lieb and…
math-ph2008★ 3 cited
Remarks on BMV conjecture
Shmuel Friedland
We show that for fixed , hermitian nonnegative definite matrices, and fixed the coefficients of the in the polynomial $\tr (A+tB)^m$ is positive if $\tr AB >0$ and $…