On singular value inequalities for matrix means

R. Dumitru, R. Levanger, B. Visinescu

For positive semidefinite $n\times n$ matrices $A$ and $B$, the singular value inequality $(2+t)s_j(A^r{B}^{2-r}+A^{2-r}{B}^r)\le 2s_j(A^2+tAB+B^2)$ is shown to hold for $…