Remarks on BMV conjecture

Abstract

We show that for fixed $A,B$, hermitian nonnegative definite matrices, and fixed $k$ the coefficients of the $t^k$ in the polynomial $\tr (A+tB)^m$ is positive if $\tr AB >0$ and $m>N(A,B,k)$.

arXiv comment6 pages

References in corpus (2)

• Equivalent forms of the Bessis-Moussa-Villani conjecture
• Asymptotic Positivity of Hurwitz Product Traces

Cited by in corpus (2)

• Sums of hermitian squares and the BMV conjecture
• Asymptotic Positivity of Hurwitz Product Traces: Two Proofs