Key points are not available for this paper at this time.
We propose a family of new upper and lower bounds for the trace of the matrix product AB when A, or B is symmetric. Those bounds depend on a scalar parameter, and both converge monotonically to tr(AB) when this parameter vanishes, thus providing arbitrary close approximations. Even large values of the parameter yield very good bounds.
Jean B. Lasserre (Tue,) studied this question.