Remarks on BMV conjecture

Details Remarks on BMV conjecture Remarks on BMV conjecture

2008-04-24

arxiv.org/abs/0804.3948v1

Physics

Mathematical Physics

6 pages

Scientific paper

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

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