Inequalities for the Trace of Matrix Exponentials
Dennis S. Bernstein · SIAM Journal on Matrix Analysis and Applications · 1988
Several inequalities involving the trace of matrix exponentials are derived. The Golden–Thompson inequality $\operatorname{tr} e^{A + B} \leqq \operatorname{tr} e^A e^B $ for symmetric A and B is obtained as a special case along with the new inequality $\operatorname{tr} e^A e^{A^T } \leqq \operatorname{tr} e^{A + A^T } $ for nonnormal A.