Remarks on BMV conjecture

2008/04/24 by Shmuel Friedland, Friedland, Shmuel · 1 citation
Computer Science · Mathematics · #Matrix Theory and Algorithms #Mathematical Inequalities and Applications #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.0804.3948

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).

Citations

• Asymptotic Positivity of Hurwitz Product Traces

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• Asymptotic Positivity of Hurwitz Product Traces: Two Proofs

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