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 $m>N(A,B,k)$.

6 pages

References in corpus (1)

• Asymptotic Positivity of Hurwitz Product Traces

Cited by in corpus (1)

• Asymptotic Positivity of Hurwitz Product Traces: Two Proofs