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arXiv · 1310.4512

On singular value inequalities for matrix means

R. Dumitru·R. Levanger·B. Visinescu
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Abstract

For positive semidefinite $n\times n$ matrices $A$ and $B$, the singular value inequality $(2+t)s_{j}(A^{r}B^{2-r}+A^{2-r}B^{r})\leq 2s_{j}(A^{2}+tAB+B^{2})$ is shown to hold for $r=\frac{1}{2}, 1, \frac{3}{2}$ and all $-2<t\leq 2$.

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R. Dumitru, R. Levanger, B. Visinescu. 2013-10-16. On singular value inequalities for matrix means. https://arxiv.org/abs/1310.4512

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